### Congruent Triangles and Corresponding Side Segments![Two triangles labeled LMN and PRQ](Attachment)Mandy has the two triangular pieces of cloth pictured above.If $ \triangle LMN \cong \triangle PRQ $, which statement about the cloth pieces must be true?- $ \bigcirc $ $LM \cong PR, MN \cong RQ, NL \cong QP$- $ \bigcirc $ $LM \cong PQ, MN \cong QR, NL \cong RP$- $ \bigcirc $ $LM \cong RP, MN \cong PQ, NL \cong QR$- $ \bigcirc $ $LM \cong RQ, MN \cong QP, NL \cong PR$In the provided image, two triangles $ \triangle LMN $ and $ \triangle PRQ $ are depicted. Each vertex of the triangles is labeled, and we are asked to determine the corresponding relationships between the sides of the triangles based on the congruence statement.Explanation:- If two triangles are congruent ($ \triangle LMN \cong \triangle PRQ $), their corresponding sides and angles are equal.- Determine the correct correspondence between the segments: - $ L \leftrightarrow P $ - $ M \leftrightarrow R $ - $ N \leftrightarrow Q $ Therefore:- $ LM \cong PR $- $ MN \cong RQ $- $ NL \cong QP $Thus, the correct answer is the first option: - $LM \cong PR, MN \cong RQ, NL \cong QP$.

Give that triangles are similar. We can use SSS property to prove similar triangles.

M N. Mandy has the two triangular pieces of cloth pictured above. If A LMN A PRQ, which statement about the cloth pieces must be true? O LM PR, MN RQ, NL QP O LM PQ, MN QR, NL RP O LM RP, MN PQ, NL QR O LM RQ, MN QP, NL PR

M N. Mandy has the two triangular pieces of cloth pictured above. If A LMN A PRQ, which statement about the cloth pieces must be true? O LM PR, MN RQ, NL QP O LM PQ, MN QR, NL RP O LM RP, MN PQ, NL QR O LM RQ, MN QP, NL PR

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: 6. In quadrilateral CDEF, the points Q, R, S, and Tare midpoints. QR 19 cm and RS = 24 cm. a. Find…

A: We have to find FD and CE according to the given information.

Q: Let A, B and C be indepen P(AUB ANC) is equal t

A: Given that A, B and C be independent. That is,

Q: Can you make a Venn diagram and explain Part B.

A: The probability of getting flu is 0.20 and the probability of getting a flue shot is 0.60 and the…

Q: 1 On a circle, there are 5 points selected. How many triangles are determined by these points?

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION here we can use combination

Q: ☺ find the indefinite in tgrel 4 u in udu

Q: 17 Find the coordinates of B if B is halfway between AC and C is halfway between AD

A: Given: A (-4, -5) D (6, 11) C is the midpoint of AD and B is the midpoint of AC So, for midpoint C:…

Q: . If ARST AABC, which of the following must be a correct statement? O RS =AC D ZB= ZT O TS CA O ZC=…

A: The corresponding sides and corresponding angles of two congruent triangles are congruent.

Q: Area - Quadrilateral Find the area of each quadrilateral. 1) 2) 3) 67 yd 41 ft 5 in Area = Area…

A: Area of parallelogram = base x height Area of a rectangle = length x width Area…

Q: Given u = a. 27 + 47 b. u c. u x d. lul V V [-4,4, 4] and = - [-5,6, 2] find

A: Addition of two vector formula and product rules

Q: Identify all pairs of congruent corresponding parts. 4. ADEF = ALMN 5. ABCD = WXYZ A N. AEFD A DFE…

Q: 7. Suppose you are given three pieces of information about a triangle. For which of the following…

A: Please see the below answer.

Q: Given: 1.) GH 스 JH 2.) HK ] ΔGHK 쓸 ΔJHKby. H. K

A: Here the two triangle are congruent but not as per the answer given by you. The correct answer is as…

Q: IF xis bin (n=5+P=0,3) Ehen. PCZ) =

Q: Which of the following are trees and which are forests? S S R U V A: Is a forest O A: Is a tree OB:…

Q: Giuen Ake 2. 3u ch nepreser

Q: First Rubber Balls ina Box Setup STars s Siperloats Total Red 13 9 39 Blue 15 4. 30 Green 514 totel…

Q: Write a symbolic description of the following shaded area. Use the symbols P, M, n, U, -, and' as…

A: There are two events P and M. The Venn diagram for the events is given. This ∪represents the union…

Q: 9. Given: 2 UTS is a rt. 2. Show that ARST must be a rt. A. R 12 13 3.

A: Solution: Consider the given figure and given that ∠UTS = 90° Therefore △UTS is a right triangle…

Q: Consider the Venn Diagram below. A В 49 35 17 37 n(A) = n(AU B)

A: We will draw the vein diagram for each part.

Q: ) The height of B00 students at normally dishi butd having a stondard devia tion mean valuc of 6…

Q: ♡ Determine if w= 2 is in Nul A, where A = 1 -4 5 7 -1 -19 -7 1 19 Is w in Nul A? Select the correct…

Q: Which congruence statement is correct? R M D OA. ADMQ = ASRB O B. AMDQ = ARBS OC. AQDM = ASRB O D.…

A: topic- congruent triangles

Q: Sam is standing next to the Pembroke office buildings in Town Center in Virginia Beach. He is 6 feet…

Q: 10. G.GPE.7 Consider AABC below. What is the perimeter of AABC? O A. 12.9 O B. 16.9 O C. 17.4 4 D.…

Q: 7. Given = [-4,4,4] and ✓ = [-5,6, 2] find a. 2ū + 4v b. c. u x d. lul V V

Q: Tennis balls are often packed in cyindrical canisters. The diagram below shows three balls in a…

A: The question mentions that the balls fit snugly in the canister. Thus, the diameter of the ball is…

Q: In ASTU, ST || VW. Given that US= 32, UV= 12, and VW= 15, find ST.

Q: Ha Rav Aharon Kotler O Judaism 101 - Rav. Following diagrams of The are copies of those found on 285…

A: Q1) Given that, the radius of the circle is r=5 m. It is known that, the circumference of the circle…

Q: Complete the similarity statement H. 21 42 a AWWU b. AUVW MANV C. AVUW d. AWUV

Q: 7. Given = [-4,4, 4] and = [-5,6, 2] find a. 2 + b. u ● V c. XV d. lul 4

Q: Use the Venn diagram shown to the right to answer the following questions. a. Which regions are…

Q: "A or B" is shown on a Venn diagram by O the area where A and B overlap. O The area outside of A and…

A: A or B represents A U B in Venn diagram as shaded region in the figure below-

Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

### Congruent Triangles and Corresponding Side Segments

![Two triangles labeled LMN and PRQ](Attachment)

Mandy has the two triangular pieces of cloth pictured above.

If $ \triangle LMN \cong \triangle PRQ $, which statement about the cloth pieces must be true?

- $ \bigcirc $ $LM \cong PR, MN \cong RQ, NL \cong QP$
- $ \bigcirc $ $LM \cong PQ, MN \cong QR, NL \cong RP$
- $ \bigcirc $ $LM \cong RP, MN \cong PQ, NL \cong QR$
- $ \bigcirc $ $LM \cong RQ, MN \cong QP, NL \cong PR$

In the provided image, two triangles $ \triangle LMN $ and $ \triangle PRQ $ are depicted. Each vertex of the triangles is labeled, and we are asked to determine the corresponding relationships between the sides of the triangles based on the congruence statement.

Explanation:

- If two triangles are congruent ($ \triangle LMN \cong \triangle PRQ $), their corresponding sides and angles are equal.
- Determine the correct correspondence between the segments:
- $ L \leftrightarrow P $
- $ M \leftrightarrow R $
- $ N \leftrightarrow Q $

Therefore:

- $ LM \cong PR $
- $ MN \cong RQ $
- $ NL \cong QP $

Thus, the correct answer is the first option:
- $LM \cong PR, MN \cong RQ, NL \cong QP$.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Sets$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Determine validity using Euler Circles. 1. All aviators are brave. Brent is brave. Therefore, Brent is an aviator. 2. No educators are fools. All gamblers are fools. Therefore, no educators are gamblers.
TeiG. ApPu(ATIOUS : LHWT: DrAw FiguRES S USING LAWS Of CoSINES oe SIUES. A TUNNEL IS to be BuiLT THeOUgh A meuntaw. A Takes the followmy measuemeuts. Feom whee he is - He is 212 feet SUeveyoe staudng FRom the Right Side ol He moutew aud 388 Ceet fRom the lelt sibe ol He moutaw. THe augle Betweeu these Two meascreinets is82.4° Find He leugth d the tunel to the wearest teuth. b told by yor toun guide Ht it Leaus at au You are Vistuy the Leaving Towee & Pisa iu ItAly, Yw are ougle of 84.7° at its Base, You are staudng 123 Feet Frum THat BASE, Loo King p at te top of He Towel with cw augle & ELBUAHN of 60° How tall Is the Tower,o he Nearest teuth,
rdered pair for the point. 9. k43) YA 54T 4. 1. W 3 *w 1 5,5 3. Ş Y 0 1 2 3 4 5 x bel the point for each 16. N (1, 5) 17. O (5, 4) 18. P (4, 0 Topic 11 Lesson 11-1
Identify the given and make a conclusion
F IND THE NUMBER OF WAYS TO A) PUT TEN PAIRS OF SOCKS INTO FO UR DRAUWERS iF EACH PAIR is A DIFFERENT COLOR AND BOTH MEM BERS OF A PAIR DO NOT HAUE TO GO INTO THE S AME DRAWER. SOCKS TO GLOUES, ALL THE S AME COLOR, PAIR CONTAIUS A LE FT B) CHANGE THE THE Y BUT EACH AND RIGHT GLOUE. ARE
2. Which I one is not true and why? (Not honor class)
that a student aishes to 4. O uppese ese students think about the Saint Rose find out what Smoking palicy. O IR you osked 30 students at the cafe ter ia that gou know uhat kindl of sampleuould that be? Would Jit be unbaised)
Do u know how to do this
Slove for each missing variable. Round your answer to the nearest hundredth. Answer questions 6,7, 8