Answers
reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
[tex](x,y)\to (y,x)[/tex]
It represents reflection across the line y=x.
In option 2,
[tex](x,y)\to (x,-y)[/tex]
It represents reflection across the x-axis.
In option 3,
[tex](x,y)\to (4x,4y)[/tex]
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
[tex](x,y)\to (x+2,y-5)[/tex]
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.
Related Questions
Please Help Me, I will give the person who answers the best brainliest.
What is the equation of a line that contains the points (5, 0) and (5, −2)?
x = 5
x = 0
y = 0
y = 5
Answers
Which equation can be used to solve for x in the following diagram?
7xº
11x°
Answers
Answer:
7x° + 11x° = 90°
(Required equation)
Step-by-step explanation:
7x° + 11x° = 90°
(complementary angles)
18x° = 90°
18x = 90
x = 90/18
x = 5
A right triangle with the side AB as a length of 35 cm and another side length BC with 12 cm. What is the hypotenuse length of the right triangle?
Answers
Hope this helps!
write an equivalent fraction for each whole
Answers
Answer:
If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.
Step-by-step explanation:
What is the length of line segment HJ?
Answers
Answer:
b = 5√3 (units)
Step-by-step explanation:
To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.
In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.
a^2+b^2 = c^2 (pythagorean therorm)
5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)
25+b^2 = 100 (square the numbers)
b^2 = 75 (subtract 25 from both sides)
b = √75
b = √25 * √3 (factor out√75)
b = 5 * √3 (find square root of√25)
b = 5√3
Hope I was able to help! Good Luck!
what is 98 = u/7
PLz help
Answers
Answer:
u=686
Step-by-step explanation:
98=u/7
7*98=7*u/7
u=686
Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)
Answers
Answer:
Step-by-step explanation:
a^2+b^2=c^2
17^2+7.6^2=c^2
[tex]\sqrt{17^2+7.6^2}[/tex]=c
c=18.6214
corrected to 1dp= 18.6 m
What would number 35 and 36 Be?
Answers
Answer:
35 c 36 d
Step-by-step explanation:
I NEED HELP ASAP Identify the property used:
144x12=12x144
Answers
Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION
Step-by-step explanation: the commutative property is when the numbers are basically swapped
Gl on your assignment :)
y= -3x + 1 and y= x - 3
Answers
Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
Sumita is following this recipe to make flapjacks.
Sumita uses 25 g of sultanas.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
250 g margarine
175 g sugar
125 mL syrup
250 g oats
50 g sultanas
Answers
Answer:
7......do you need explanation?
Given : A toy car is placed on the floor. Its movement details are given
Answers
Answer:
Given : A toy car is placed on the floor. Its movement details are given
To find : Distance covered by Car & graph to be plotted
Solution:
Start from rest
u = 0 at t = 0
Constant acceleration for 3 sec reaching velocity 4 m/s
V = U +at
=> 4 = 0 + a(3)
=>a = 4/3 m/s²
Distance here S = ut + (1/2)at²
S = 0 + (1/2)(4/3)3²
=> S = 6 m
deceleration of 0.5 m/s² for 4 sec
=> v = 4 - (0.5)4
=> v = 2 m/s
Distance here = 4(4) - (1/2) (0.5)4²
= 16 - 4
= 12 m
Total Distance = 6 + 12 = 18 m
Total Distance traveled by toy Car = 18 m
Graph attached
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Figure given below shows the graph of velocity v ofparticle moving ...
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The graph represents Jason's speed on a recent trip. For which time ...
Step-by-step explanation:
Rodger has 22 coins, all quarters and nickels. The total value of the coins is $2.70. How many of each type of coin does he have?
Answers
Answer:
3 quarters and 19 nickles
Step-by-step explanation:
.
20.8 = 4( z+1.1)
What is Z ?
Answers
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
What is the GCF of 20, 10 and 30?
Answers
Answer:
10 is the GCF
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
help. pls. i will mark brainliest.
Answers
Answer:
pretty sure its b.
hope this helps!
Answer:
i think its none of the above
Step-by-step explanation:
because it can't be vertical since they need to be on opposite sides
it's not complementary because it doesn't equal to 90
it can't be supplementary because line D is not straight
so that's why i think it's none of the above
Write about a
way
how
you have used mathematics inside or outside of school. *
Plsss help it is important
Answers
Answer:
I have used mathematics at the store when i am buying something.
Step-by-step explanation:
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
2 + c = 7
c = 7
c = 9
c - 2 = 7
Answers
Answer:
Step-by-step explanation:
c =7
10 + what equals -6.2
PLEASE HELP ME ASAP!!!!!!!!!!!!;))
Answers
10 + x = -6.2
subtract 10 on both sides to get:
x = -16.2
your answer is -16.2! hope this helps!
can sombody please answer this.
Answers
Answer:
option (3)is correct, take 180 +180=360
Step-by-step explanation:
I DON'T KNOW IF THIS IS CORRECT IM SORRY IF IT'S WRONG!!!!!!
10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value)
The area of the figure is
un?
Answers
Mary joined the Movie Club while she prepaid $120 for
the year. Every week she watches a movie, it
automatically deduct $5 from her account. How much
money does she left in her account after 15 weeks?
Answers
Answer:
$75
Step-by-step explanation:
15x5=$75
The amount of money Mary has left in her account is $ 45
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of money in Mary's account be = $ 120
The amount of money that gets deducted for each week = $ 5
Total number of weeks elapsed = 15 weeks
So , the equation will be
Total amount deducted after 15 weeks = number of weeks elapsed x amount of money that gets deducted for each week
Total amount deducted after 15 weeks = 15 x 5
= $ 75
Therefore , the equation will be
The amount left in Mary's account = total amount of money in Mary's account - Total amount deducted after 15 weeks
The amount left in Mary's account = 120 - 75
= $ 45
Hence , The amount of money Mary has left in her account is $ 45
To learn more about equations click :
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#SPJ2
the distance between the park is 1.7 meters how many meters is this?
Answers
Answer:
1.7 meters?
Step-by-step explanation:
Alexis wrote 28 - 8 = 20. Then she
wrote 28 -8 + 9 = 20 – 9. Are her
equations balanced? Explain.
Answers
Answer:
no this is because 28-8+9=29 and 20-9=11
Step-by-step explanation:
Answer:
Her equation is not balanced.
Because 28 - 8 + 9 = 20 - 9
29 = 11 ( its not balanced)
She put the same symbol or sign on both side.Here she put different sign on both side .so this equation is not balanced.
Step-by-step explanation:
Write down the value of angle y, giving a reason for your answer
Y=
Other angle given is 67 degrees
Answers
Answer:
y would be 67 as well.
Step-by-step explanation:
they are alternate interior angles. hope it helps
In part (a) the missing angle of a triangle is 70 degrees and in part (b) the missing angle is 67 degrees.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
Part(a)
We have a triangle shown in the picture.
The two lengths of a triangle are equal.
The angle opposite to the sides will be equal.
As we know,
The triangle's interior angles add up to 180°.
180 = 55 + 55 + x
x = 180 - 110
x = 70 degrees
In part (b)
There are two parallel lines shown in the picture.
The angle y will be the same as 67 degrees because two parallel lines are cut by a transversal line.
Thus, in the part (a) the missing angle of a triangle is 70 degrees and in part (b) the missing angle is 67 degrees.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ5
A rectangular prism has a volume of 160 cubic centimeters and a height of 4 centimeters. What is the area of its base?
Answers
If yz = 0.7, what is the measure of α to the nearest degree?
Answers
Answer:
.9
Step-by-step explanation:
A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a
length of 1.5 ft. How many of these boxes can this truck hold?
Answers
Answer:
284.4
Step-by-step explanation:
Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome
284 boxes in the shape of the cubes can be fitted in the truck.
If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.
Dimensions of the truck given in the question,
Length = 10 feet, width = 12 feet and height = 8 feetSince, volume of a cuboid (shape of a truck) is given by the expression,
Volume = Length × Width × Height
Therefore, volume of the truck = 10 × 12 × 8
= 960 feet³
Volume of a cube is given by the expression,
Volume = (side)³
Therefore, volume of the cube with side length 1.5 feet will be,
Volume of a cube = (1.5)³
= 3.375 cubic feet
Let the number of cubes fitted in the truck = x
Therefore, volume of 'x' cubes = (3.375x) feet³
Since, volume of the truck = Volume of the cubes fitted
3.375x = 960
x = [tex]\frac{960}{3.375}[/tex]
x = 284.44
x ≈ 284
Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.
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if a function is y = x - 8 , then what is the value of the function when x = 10
Answers
Answer:
2
Step-by-step explanation:
Drag each angle measure to the correct location on the image. Not all angle measures will be used.
Determine the measures of the angles.
35°
70°
75°
100°
105°
110°
Answers
Answer:
i believe this is the question you asked added picture of correct answer on graded test
Step-by-step explanation: