What theorem shows that TPN ≅ TQM?

Triangles T Q M and T P N which share vertex T. Side T A in the first triangle is congruent to side T P in the second triangle. Side T M in the first triangle is congruent to side T N in the second. The angles at vertex T are vertical angles and are included between the two pairs of congruent sides.

Group of answer choices

AAS

ASA

SAS

SSS

Answers

Answer 1

Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

[tex]TQ\cong TP,TM\cong TN[/tex]

To find:

The theorem which shows that [tex]\Delta TPN\cong TQM[/tex].

Solution:

In triangle TQM and TPN,

[tex]TQ\cong TP[/tex]        [Given]

[tex]\angle QTM\cong \angle PTN[/tex]         [Given]

[tex]TM\cong TN[/tex]        [Given]

Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.

[tex]\Delta TPN\cong TQM[/tex]              [SAS]

Therefore, the correct option is C.


Related Questions

Write 7 more than w is 25 as an algebraic equation.

Answers

Answer:

w+7=25

Step-by-step explanation:

if you need it solved its

w+7=25

   -7 -7  

w=18

Answer:

7+w=25

Step-by-step explanation:

when it says more than, that's addition, so 7 more than w is 7+w

25 is the answer so that's self explanatory

Choose the correct expression for 10 decreased by 3x

Answers

Answer:

10-3x=0

    3x=10

    x=10/3

Step-by-step explanation:

the answer is x= 10/3

What is the common difference in the following arithmetic sequence? 7, 3, –1, –5, .... –3 –4 4 12

Answers

Answer:

ik its late the answer is b

Step-by-step explanation:

just took test

The common difference in the following arithmetic sequence is B)-4.

What is the common difference in the arithmetic sequence?

The commonplace difference is the value between every successive quantity in an arithmetic series. Consequently, the formula to discover the not unusual distinction of a mathematics collection is: d = a(n) - a(n - 1), in which a(n) is the nth time period in the series, and a(n - 1) is the previous term (or (n - 1)th term) in the series.

That is a mathematics sequence since there is a common difference between every time period. In this case, adding −four to the preceding time period in the collection gives the following time period. In different words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .

Learn more about the common differences here: https://brainly.com/question/503167

#SPJ2

help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?​

Answers

Answer:

S=2B

D=B%2B6

S%2BD%2BB=34

Substitute,

2B%2BB%2B6%2BB=34

 

4B%2B6=34

4B=28

B=7

Then,

S=2%287%29=14

D=7%2B6=13

Step-by-step explanation:

hope this helps

Answer:

donna is 13

scoot is 14

ben is 7

Step-by-step explanation:

2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14

9. Which expression is equivalent to 14(8x−36)+2x? (1 point)

a. 10x - 36

b. 30x

c. 4x - 9

d. 4x - 36

Answers

Answer:

Step-by-step explanation:

14(8x-36)+2x

112x -504 +2x

114x-504

Use the chart and graph to find the number of pairs of size 10 1/2 shoes the store orders for a total order of 175 pairs of shoes.

Answers

Answer

Ste2p-by-step explanation:

20 BECAUSE IM DOING THE SAME TEST 20 BECAUSE COUNT UP A COLUMN

Please help !! Which are pairs of vertical angles?


< AOC and





Answers

Answer: all of them

Step-by-step explanation:

What is the polynomial of least degree with the given zeroes O with a
multiplicity of 3, -1 with a multiplicity of 2, i, and -i?

Answers

Answer:

the answer is by making this question make sense and less confusing

Step-by-step explanation:

ANSWER QUICKLY!!!11!!!1!1

what is 3/4 divided by one - sixths

Answers

4.5, or 9/2 or 4 1/2

Someone please help me with number 6 lve been stuck on it forever

Answers

Answer:

x = 10

Step-by-step explanation:

8x - 13 = 5x + 17 (DE = EF)

8x - 5x = 17 + 13

3x = 30

x = 10

Evaluate 8x when x = 3.12​

Answers

Answer:

24.96

Step-by-step explanation:

When you do 8 times 3.12, because 8x (8 times x), you would get 24.96.

On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY

Answers

Divide 15 by 20

15 divided by 20 is 75%

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6

Answers

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

m is the slope. b is the y-intercept.

The y-intercept is given here in the coordinate (0,2) It is +2

Slope is rise/run.

Rise: Difference in given y-values is 4-2 = 2.

Run: Difference in x-values is 8-0=8.

So the slope is 2/8 = 1/4

The equation is y = 1/4 x + 2

Help with trigonometry homework please

Answers

Answer:

I personally think it B.

Step-by-step explanation:

Write the next three terms: 27,32,37,42,

Answers

Answer:

47,52,56

Step-by-step explanation:

you are adding 5

The value of the digit 8 in 1857 is how many times the value of the digit 8 in 3083?

Answers

Answer:

the value of 8 in 1857 is ten times the value of 8 in 3083

Step-by-step explanation:

1857 3083

800/80=10

Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *

The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.

The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.

The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.

Answers

Answer:

Your answer would be The third option or C

Step-by-step explanation:

Answer:

c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

Step-by-step explanation:

math answer

Ms. Smith gave her class 12 minutes to read independently in class. Carrie read 5 1 2 2 1 ​ pages in that time. At what rate, in pages per hour, did Carrie read?

Answers

Answer:

51,221 pages? Ill answer i just need clarification.

Someone pls help me on this. Another review test. 10!!!!

Answers

Answer:

Male: 8.9-10 ft.   Female:7.9-8.7 ft.

helpppp it’s my friends birthday

Answers

-2(13/20)
there you go

Which reason justifies statement 2?

A) Vertical angles are congruent

B) Corresponding angles are congruent

C) Alternate interior angles are congruent

D) Alternate exterior angles are congruent

Answers

Answer:

C. Alternate interior angles are congruent

Step-by-step explanation:

<Y and <4 are two alternate angles within the two parallel lines cut across by the transversal, hence, they are called alternate interior angles.

Alternate interior angles are always congruent to each other. Therefore, the reason that justifies statement two: "<Y ≅ <4", is "Alternate interior angles are congruent".

Find the length of AB.

Answers

Answer:

Ok:

Step-by-step explanation:

So these triangles are similar. That means that the ration between their sides are the same. In this case, we have then:

AC/CB = CE/CD. Or AC/3 = 16/4.

We can solve AC to be 12. To find AB, it is AC-3 which is 9.

So AB=9

Answer

Ab=9

How I got it

AC/CB = CE/CD. Or AC/3 = 16/4.

We can solve AC to be 12. To find AB, it is AC-3 which is 9.

So AB=9

A company pays 11% commission for $10,000.00 or less and 14% commission for over
$10,000.00. What is the commission for sales of $18,236.75?

Answers

Answer:

2553.145

Step-by-step explanation:

is 0.75 repeating irrational or rational

Answers

Answer:

This is a rational decimal and is not a repeating decimal.

Step-by-step explanation:

Choose the correct rule for the graph shown. Please Help 30POINTS

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) y=3x

Step-by-step explanation:

Which is true of the standard form of the equation of the line graphed the value of a can be

Answers

Answer:

Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?

Step-by-step explanation:

answer-4p - 7 = 13

Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ

Answers

Answer:

Stands Steakhouse has 210 servers.

Step-by-step explanation:

5 servers to 1 cook.

5/1 = x/42

x = 5 * 42 = 210

3 3/4-2 1/5 ok so its I dont know 90

Answers

Answer:

It equals to 1.55 but if had to be a fraction than it would be 31/20

Step-by-step explanation:

Answer:

i think its -1.45 but for in fraction -29/20

Step-by-step explanation:

Write three ratios equivalent to the ratios described in each situation.The ratio of cows to chickens is 3:7

Answers

6:14 and 9:21 and 12:28 is the answer

a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP

Answers

the answer would be ≈43.7
Other Questions
1pt Which factor was most important for the survival of early humans?O A. the absence of other homininsO B. little or no change in temperatureO C. reliable supplies of food and waterOD. access to materials for making tools A gas at standard temperature and pressure was measured as having a mass of 1485 grams (g) in a volume of 750 liters (L). Which of the following gasses could it be? What is the relationship between global warming and global climate change? What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = 11 and x = 7 x = 7 and x = 11 x = 5 and x = 1 x = 1 and x = 5 You borrow $10,000 today at a nominal rate of 5%; inflation for the past 10 years has been exactly 2%. Today, inflation instantly rises to 7% and stays that way for the duration of your loan. Based on the above information, ceteris paribus (all else equal), today: Group of answer choices What were two things that Hammurabi's Code and the Bible had in common? Can someone help me write a short speech for this? Ill give brainliest Which of the following best explains why the Mexican government encouraged settlement in Texas?A. They wanted help to stop the raids by Native Americans across TexasB. The government wanted to convert Native Americas to Christianity.C.They needed more people in Texas in order to mine the gold found at CibolaD. The government wanted to create a trade route from Louisiana through Texas to Mexico. Help!Simplify:2[45 (11 - 8) to the 2nd power] - 3 Select the benefits of mentoring goal process PLS HELP ASAP Why do scholars think slavery started? How do atoms of different non metals stabilize themselves?Pls help Can anybody tel me what K equals plz I got to go to bed what is a business management There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.How many milliliters are in 3 gallons?Label your answer in mL. If the organisms in this food chain shown below were arranged in an energy pyramid, which organism would have the most available energy? C SRED producer decomposer primary consumer secondary consumer O producer O decomposer O primary consumer O secondary consumer Convert 2.5 x 102km to mm.Convert 188 dL to L based on the map, what can you conclude about Charlemagne's conquests? What are the x-and y-intercepts of -3x + 5y = 15?A. 17, 10B. -3, -5C. -5,3D. 15, 15Help me pleasee How were states rights addressed in the Mexican federal constitution?