Explain how you can differentiate between a square, rhombus, and rectangle based on the angles formed by their diagonals.

Answers

Answer 1

Answer:

Quadrilateral just means "four sides"

(quad means four, lateral means side).

A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

Step-by-step explanation:

propertiesA quadrilateral has:

four sides (edges)

four vertices (corners)

interior angles that add to 360 degrees:

Quadrilateral Angles

Try drawing a quadrilateral, and measure the angles. They should add to 360°

Types of Quadrilaterals

There are special types of quadrilateral:

Types of Quadrilateral

Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. See below for more details.

Let us look at each type in turn:

The Rectangle

Rectangle

the little squares in each corner mean "right angle"

A rectangle is a four-sided shape where every angle is a right angle (90°).

Also opposite sides are parallel and of equal length.

The Square

Square

the little squares in each corner mean "right angle"

A square has equal sides (marked "s") and every angle is a right angle (90°)

Also opposite sides are parallel.

A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).

The Rhombus

Rhombus

A rhombus is a four-sided shape where all sides have equal length (marked "s").

Also opposite sides are parallel and opposite angles are equal.

Rhombus Diagonals

Another interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. In other words they "bisect" (cut in half) each other at right angles.

A rhombus is sometimes called a rhomb or a diamond.

The Parallelogram

Parallelogram

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same).

NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Example:

Square

A parallelogram with:

all sides equal and

angles "A" and "B" as right angles

is a square!

The Trapezoid (UK: Trapezium)

Trapezoid (or Trapezium) Trapezoid (or Trapezium)

Trapezoid

Isosceles Trapezoid

A trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.

And a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides:

Trapezoid Trapezium

In the US: a pair of parallel sides NO parallel sides

In the UK: NO parallel sides a pair of parallel sides

(the US and UK definitions are swapped over!)

An Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles.

The Kite

The Kite

Hey, it looks like a kite (usually).

It has two pairs of sides:

Each pair is made of two equal-length sides that join up.

Also:

the angles where the two pairs meet are equal.

the diagonals, shown as dashed lines above, meet at a right angle.

one of the diagonals bisects (cuts equally in half) the other.

... and that's it for the special quadrilaterals.

Irregular Quadrilaterals

The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.

The "Family Tree" Chart

Quadrilateral definitions are inclusive.

Example: a square is also a rectangle.

So we include a square in the definition of a rectangle.

(We don't say "Having all 90° angles makes it a rectangle except when all sides are equal then it is a square.")

This may seem odd, as in daily life we think of a square as not being a rectangle ... but in mathematics it is.

Using the chart below we can answer such questions as:

Is a Square a type of Rectangle? (Yes)

Is a Rectangle a type of Kite? (No)

Quadrilateral Classification

Complex Quadrilaterals

Oh Yes! when two sides cross over, we call it a "Complex" or "Self-Intersecting" quadrilateral, like these:

Complex Quadrilaterals

They still have 4 sides, but two sides cross over.

Polygon

A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

Play with Them

Now that you know the different types, you can play with the Interactive Quadrilaterals.

Other Names

A quadrilateral can sometimes be called:

a Quadrangle ("four angles"), so it sounds like "triangle"

a Tetragon ("four polygon"), so it sounds like "pentagon", "hexagon", etc.

Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10

Polygons

Interactive Quadrilaterals

Right Angle

Parallel

Parallelogram In Any Quadrilateral

Geometry Index

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Related Questions

Is 4 11/12 close to 5 ? Monica has a recipe for fruit salad. 2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices Part A : Monica estimates the recipe makes 5 cups of fruit salad. which explanation whether Monica’s estimate is reasonable ? 1. Not reasonable . Four fractions cannot equal more than 4 cups . 2. Not reasonable.The whole numbers add up to 3 so the equal sum cannot be 5 cups 3.Reasonable . the grapes and apples is about 2 cups and pears and oranges is exactly 3 cups . 4 Reasonable . The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups. Please help. Part B what is the exact amount of salad in cups

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Answer

Peel and cut the organic Chiquita banana in half lengthwise. The secret to the creamy texture is a mix of greek yogurt and a little dijon mustard. Cut the Chiquita banana into halves and then split down the middle. Add the mashed banana to a large bowl along with 1 cup plain yogurt, 2 large eggs, ½ cup sugar, 4 Tbsp melted butter, and 1 tsp vanilla extract. A medley of juicy fruits paired with a divine banana–yogurt dressing make this refreshing snack perfect for a hot summer day. Yellow |. In small bowl combine strawberries and sugar. Feel free to add some kiwis. Cut … Personalized recipe selections: Access to advanced filters, rate recipes, save your favorites in your personal banana space. HOW TO MAKE STRAWBERRY BANANA SALAD. 2 small containers of vanilla yogurt 1 (8 oz) tub of cool whip, Thawed 1 small package cheesecake flavor instant pudding or pie filling mix ½ bag of miniature marshmallows (optional) Add this to your list of easy fruit salad … Fold in fruit. My husband likes when we do banana cream. The Best Banana Salad With Mayonnaise Recipes on Yummly | Banana-nut Salad, Fijian Spiced Sweet Potato Banana Salad, Pasta Salad With Roasted Vegetables. See more ideas about Fruit salad recipes, Fruit salad, Fruit recipes. ... mustard powder, plain yogurt, bananas, salt, fresh cilantro, chili powder. Mix the kiwis with the red fruits (strawberries, raspberries, blueberries, gooseberries), watermelon and organic Chiquita banana on a plate. Ingredients for the Fruit Salad: 1 Cup of Strawberries 1 cup of raspberries, fresh or frozen 1 cup of grapes 1 cup of diced apples 1 cup of sliced bananas Or whatever fruit you fancy (melon, blackberries, pears, etc..) 1/2 cup of yogurt (strawberry or vanilla) 1/2 … Peel and split bananas; place in serving dishes. In a separate bowl, combine 1.5 cups all-purpose flour, 1 tsp baking powder, ½ tsp baking soda, ½ tsp salt, and ¼ tsp nutmeg.

EMERGENCY!!!!! complete the tables with equations

Answers

I CANT REALLY SEE IT XAN YOU ZOOM 8+7

Answer:

Step-by-step explanation:

Plug in the values of x in the equation and find the value of y

6) y = - 3x + 5

Plugin x = -1 , y = -3*(-1) + 5 = 3 + 5 = 8     (-1 , 8)

Plugin x = 1 ;  y = -3*1 + 5    = - 3 + 5 = 2   (1, 2)

Plugin x = 3 ; y = -3*3 + 5 = -9 + 5   = -4   (3,  -4)

Plugin x = 4 ; y  = -3*4 + 5 = -12+5  = -7   (4 , - 7)

7) y = -4x

Plugin x = -2 ; y = -4*(-2) = 8          (-2 , 8)

Plugin x = -1 ; y = -4 *(-1) = 4          (-1 , 4)

Plugin x = 0 ; y = 0                       (0 , 0 )

Plugin x = 2; y = -4*2 = -8            (2 , -8)

Using the picture below what completes the statement?

Answers

Answer:

A) QT

Step-by-step explanation:

It looks like QT will be your best choice on this question. If you follow the example given to you, it seems like QT would be the right answer.

How many more calories should a person on a 2,000-calorie diet eat from veggies than from carbs?

Answers

Answer:

Step-by-step explanation:

Helpppp me prettyyyy please I’m confused

Answers

Answer:

For every 1 vote cast for Candidate D, there were 4 votes for candidate C.

Step-by-step explanation:

Hope this helps! Have a good day!

Answer:

For every 1 vote cast for Candidate D, there were 4 votes cast for Candidate C.

(take π =22/7). capacity of a solid cylinder with height 5cm and diameter of 6cm.​

Answers

Step-by-step explanation:

πr^2h

22/7×3×3×5

141.428

Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.

help

Answers

the answer is C.
TUWV ~ DEFG; 6:4.5
please mark brainliest :)

Evaluate the expression for p = 2.
4p =

Answers

Answer:

4p = 8

Step-by-step explanation:

2 × 4 = 8

4p = 8

Evaluate this expression for a = 3 and b = 4.
(a + 4)
b 3(8 + 2)
+
b-2
ad
A. 6
B.
9
O C. 11
D.
18
O

Answers

Answer:

The answer should be D

Step-by-step explanation:

I hope this helps

The volume of the prism shown in 60 cm Given the dimensions shown below, what would be the value of x ?

Answers

Answer:

(3× - 2)(x - 1)

3x² - 3x - 2× -2

3x² - 5× - 2

3x² + × - 6× - 2

× (3x + 1) -2 (3× + 1)

(3× + 1) (× - 2)

Find the EXACT circumference of a circle with a diameter of 14 inches.

Answers

It would be b because the circumference equals the diameter times pi. You can remember this with the saying cherry pie delicious (c=pi x d)

Can anyone Help me pleasee ?

Answers

Answer:

First one

Step-by-step explanation:

.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100

what is 3/5 multiplied by 1/7?
3/12
3/35
4/12
10
35

Answers

3/35 is the answer!

3 x 1 = 3

___

5 x 7 = 35

what is 21+208 I AM A SUPER IDIOT PLZ HELP ME

Answers

Answer:

229

229

229

it's two hundred and nine

Answer:

your answer is 229

Step-by-step explanation:

200 plus 20 is 220 and 8 plus 1 is 9 so u add it all together and its 229

Jia sells duck eggs. A customer buys 4 cartons. There are 6 eggs in
each carton. How many eggs does the customer buy in all?

Answers

Answer:24

Step-by-step explanation:

If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all

One cartoon= 6 eggs

Two cartoon = 12 eggs

Three cartoon = 18 eggs

Four Cartoon = 24 eggs

So the Customer buys 24  eggs in all

R + 4 when r = 13
Can u explain it

Answers

Answer: r + 4

Step-by-step explanation:

What congruence theorem can you use to show that the two wedges of cheese have the same length?
9.6 cm
9.6 cm
3.2 cm
3.2 cm
You can show that the two wedges of cheese have the same length using the
(blank) Congruence Theorem.
Please help!!

Answers

I think it’s side angle side. I say this because you have 2 side measures meaning the one angle is the same.

what is the answer???

Answers

Answer:

360 seconds

Step-by-step explanation:

ALL YOU HAVE TO DO IS MULTIPLY 1/2 AND 12, WHICH GETS YOU 6! now in seconds just multiply 6 times 60 to get 360!

Answer:

6 minutes

Step-by-step explanation:

We multiply the amount of problems by the time per problem to get the equation (1/2)(12)=x where x is the time she takes to complete 12 questions. (1/2)*(12) = 6.

The infamous psychologist, dr. Visegrip, claims that his secret

Answers

Answer:is that he likes you

Step-by-step explanation:

(10 A person flying a kite has released
123 ft of string. The string makes an
angle of 21 degrees with the ground. How high
is the kite ?

Answers

Answer:

The kite is about 44.1 feet high.

Step-by-step explanation

Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.

sin21=x/123

You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.

You then multiply both sides by 123 to get the variable of x alone on one side.

123sin21=x

Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.

Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.

b.) Evaluate x + 12 when x = 5​

Answers

Answer:

17

Step-by-step explanation:

Answer:

a. x + 5 = 12 b. 4 · x = -20.

Which expression is equivalent to (r -7 6?

Answers

Is that -76 or minis 7 and 6 huh..?.?.?.

An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31
repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random
sample that were completed in under an hour.
The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317. Does this
result provide convincing evidence against the technician's claim?
Yes, it is expected that 22 of the units at most will be repaired in under an hour.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by
chance alone is very unlikely.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
No, the difference between the sample result and what is expected is not extreme enough. The probability of it
occurring by chance alone is not unlikely.

Answers

Answer:

D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

Step-by-step explanation:

Got it right on unit test review

The probability of it occurring by chance alone is not unlikely.

We have given that,

An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31.

repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random.

The sample was completed in under an hour.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317.

D No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

The sum of two numbers is twenty-four. The second number is equal to twice the first number. Call the first number m and the second number n.
translate

Answers

Step-by-step explanation:

m+n=24.....(1)

n=2m

put value of n in equation 1

m+2m=24

3m=24

m=8

n=2(8)

n=16

What function is represented by a line with slope −2 that passes through the point (0, 4)?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

y=ax+b

and point (0,4) passes through this line so 4=-2(0)+b

4=b

equation is :y=-2x+4

Nadia correctly answered 32 questions correct out of 40. What percent correct did she answer correctly?​

Answers

Answer:

She answered 90% correctly

Answer:

80%

Step-by-step explanation:

divide 32 by 40 to get 0.8 or 80%

Tony is 2 years older than crystal. In 8 years the sum of their ages will be 78. How old is tony now? ​

Answers

I just need need points sorry look under me for the answer

What is the equation of the line?

A. y= 1/3x - 1
B. y= -1/3x + 1
C. y= -3x + 1
D. y= 3x - 1

Answers

Pretty sure it is B. good luck

Hiii pple can yall help me out here plz

Single term algebraic expression is called?
1. Monomial
2. Binomial
3. Trinomial
4.None of these

Answers

Answer:

the answer is Monomial I hope this helps

Answer:

Monomial - an expression that consist of 1 term

Step-by-step explanation:

Bi - two

Binomial - an expression consisting of two terms

Tri - three

Trinomial - an expression consisting of three terms

Kayley has a craft box full of buttons. The craft box has 6 yellow buttons, 7 black buttons, 4 red buttons, 2 pink buttons, 8 green buttons, and 3 buttons. If Kayley is randomly choosing buttons out of the box one at a time and then returning them, choose all the statements that are true.

A. Kayley has 1/15 chance in picking a pink button.

B. Kayley has an equal chance in choosing any color button.

C. Kayley has 2/15 chance in choosing a green button.

D. Kayley has a 4/5 chance in picking a button that is not yellow.

E. Kayley will more likely pick a brown button than a red button.

Answers

Answer: D

Step-by-step explanation:

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