1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vitfil [10]
3 years ago
8

Given:

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0

Answer:

Option B is correct.

\triangle RST \cong \triangle TUR  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒TU \cong RS and TS \cong RU

In triangle RST and  triangle TUR

RS \cong TU  [Side]  

TS \cong RU  [Side]

RT \cong RT   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

\triangle RST \cong \triangle TUR    


Marysya12 [62]3 years ago
6 0

Answer:

\Delta TRS \cong \Delta RTU

Step-by-step explanation:

We have been given a graph of a parallelogram and we are asked to find which triangle is congruent to triangle TRS.

Since we know that the opposite sides of a parallelogram are equal, so TU = RS.

Since the alternate interior angles formed by two parallel and a transversal is equal. We can see that line TU is parallel to line RS and TR will be our transversal, therefore, angles formed inside the parallel lines and on the opposite sides of transversal will be equal.

By alternate interior angles: m\angle TRS=m\angle RTU

We can see that in triangle TRS and RTU segment RT equals to itself.

Therefore, by SAS congruence postulate \Delta TRS \cong \Delta RTU and option B is the correct choice.

You might be interested in
A clydesdale drinkes about 120 gallons of water 4 days.At this rate about how much many gallons of water does a clydesdale drink
Margarita [4]
Gallons of water drank in 4 days = 120
Gallons of water drank in a day = 120/4
= 30
Gallons of water drank in 28 days = 30 × 28
= 840
8 0
3 years ago
Every 3 Days Marco fills up his car with gas. Every 3 Days he washes his car. On what day will Marco fill his car and wash it.
GenaCL600 [577]
The answer is Thursday and Sunday hope this helps :D
8 0
3 years ago
Order them for me please! Thanks :)
Dmitriy789 [7]

Answer:

Answer:

milliliter, centimeter, meter, kilometer

Step-by-step explanation:

3 0
3 years ago
Durante quanto tempo um capital de 5000 deve ser aplicado a juros compostos, taxa de 1,8% a.m para gerar um montante de 5767.
KatRina [158]
Can you speak English??? if so i dont talk spanish
6 0
3 years ago
Is there ever a time when a probability can be greater than 1.00, or less than 0.00?
timama [110]

Answer:

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • A tea that is 22% jasmine is blended with a tea that is 13% jasmine. How many pounds of the 22% jasmine tea are used to make 10l
    11·1 answer
  • Explain why there is 1/3 cup of fruit i. Half a smoothie
    9·1 answer
  • Terry drove 310 miles in 5 hours at a constant speed. How long would it take him to drive 403 miles at the same speed?
    9·2 answers
  • Suppose today is Tuesday. What day of the week will it be 100 days from now?
    8·1 answer
  • You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the
    6·1 answer
  • Can you guys help me please.
    14·2 answers
  • -4b - a(-2a + b + 1) +2b(a + 2)​
    9·1 answer
  • 31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
    7·1 answer
  • If you take a number, times by 7 then subtract 1. You get the same as if you took the number multiply the number by 5 then subtr
    6·2 answers
  • Which pair of functions are inverses of each other?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!