### 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: 13. Given: a-b-c-d, b=d-1, c = 6; Prove: a = 5 Statements Reasons

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: The Voronoi diagram for A , B , C and D is shown below. Which point is closest to the point K(4,6) ?…

A: Voronoi diagram: In a Voronoi diagram, each point is associated with a region consisting of all the…

Q: Paul has 20 thin rods whose lengths, in centimetres are 1, 2, 3, ..., 20. Any two rods can be…

A: paul has 20 thin rods where lengths in centimeters are 1,2,3,....,20. as we know, perimeter is the…

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: In AMNP and AQRT, NP = RT, MN = QR, and ZN = LR. Can AMNP an AQRT be proven congruent? If so, which…

A: SAS (Side-Angle-Side) If any two sides and the angle included between the sides of one triangle are…

Q: A figure is shown. d, Given APAT - AJEN, drag the corresponding parts to complete each statement. LE…

A: Given, A figure is shown below :

Q: Assignment 6. 4.

A: Consider the given triangle. Now, redraw the triangle.

Q: Given the statement A JKL A MNO, ZJ Z ZK 2 4 and ZL 2 Z

A: We have to apply congruence rule

Q: Venn diagram

A: To verify this law of distribution. lets consider three set A = {0, 1, 2, ,3, 4}, B =…

Q: 7. Which angles are supplementary? O 22 and 23 O 23 and 24 O 41 and 22 O 4 and 25 3. 2.

Q: 2. Refer to Figure 16, and complete each statement by writing . 3 Figure 16

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

Q: 1. Use the Venn-Diagram below to answer the following questions: a) P(A) b) P(B) c) P(A and B) 3 B

Q: 6. Which statements prove that APQR - ASTR? * NOT TO SCALE O A. ZPRQ = ZSRT and 2Q = LP O B. ZP = LT…

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: Suppose the statement, "if the pentagon is green, then the triangle is red," is true. Assume also…

Q: What statement is the converse of the following conditional? A triangle has three angles. Select…

A: Here we have to select which statement is the converse of the given conditionals.

Q: A recent study investigated the population size of burrowing owls in the Imperial Valley. In 2015, a…

A: Introduction: Denote μd as the true mean difference in the population of burrowing owls between 2015…

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: Let A = {5, 6, 7, 8, 9}, B = {7, 8, 9, 10, 11}, and C = - = a. Find An B. b. Find AU B. c. Find A \…

A: According to bartleby's guidelines we are allowed to solve one question at a time. So, here is the…

Q: 5) If the mean of 4, 6, 5, p, 7 and 9 is 7, find the value of p. a) O 11 b)0 9 c)O 10 d) O 12

Q: 3. Determine which of the following symbols: Cóz makes the premise true. a. {b} {a, b} b. 1__ {1, 2,…

A: Given: {b} ______ {a, b} The symbol ⊆ means a subset of A⊆B, that is, each element of A is an…

Q: Colve the Following and choose the best answer: 1) 2 2.) 10 10 20 g. 25 b. 7 b. 15 C. 9 - 1 d. 3 C.…

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: 5. Which pair of triangles prove AAS? C D K BF В. С. H. А. D.

A: Given query Is to find AAS congruent triangle.

Q: The statement "If mLA = mLB and m LD = m LA + m LC, then m LD = mLB + m LC" is justified by what…

A: Given statement is "If m∠A=m∠B and m∠D=m∠A+m∠C then m∠D=m∠B+m∠C. To find the property which justify…

Q: A group of 60 students were surveyed, and it was found that each of the student surveyed liked at…

Q: K bea nentaal ongwnity. Piac if aF1 ja71,a²=1 then atl and a- are zero dnMrs

A: ANSWER :

Q: Write the capital letter to the correct answer. For example, if the answer is σ write J Which of…

A: We want to tell you which one is the correct choice

Q: Use the Venn diagram shown to the right to determine whether the given sets are equal for all sets A…

Q: Let A = {a, b}, B = {a, {b, c}}, and C = {{a, b}, c}. State whether the following are true or false…

A: The objective of the question is to determine the truth or falsity of several statements involving…

Q: The area of a triangle with the given vertices of A(2, 6, -1), B(1, 1, 1), C(4, 6, 2) is. V374 1. O…

Q: For Questions 7 and 8 best for describing the in sentence form. 7) The typical size of h 8) The…

A: A singular measure that seeks to represent the central position of a data set is referred to as a…

Q: hello I need help with question d) and e)

A: (d). Sum of all the processing time = 665 seconds Capacity of flow rate of the cell will be =3600665…

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

5. Select all true statements based on the diagram. A. Segment EB is congruent to segment AD. B. Segment DC is congruent to segment AB. C. Segment DA is congruent to segment CR D. Angle (B1. is congruent to angle ABE E. Angle CEB is congruent to angle DEA, F. Line /DA is parallel to line CB. G. Line DCIS parallel to line AB. (From Unit2 Lesson 1
Is A CBS~ A TUS? If so, by which postulate? T 39 C 31 В 20 35
A Venn diagram of A and B is given below A -2 8 6. 3 13 4 -1 -3 7 Find AC U BC. Provide your answer below: B.
o Representthe traingder( ABEtwhere AB=AC Alin, A BI
2. Which I one is not true and why? (Not honor class)
3) Complete the missing pieces related to statements and condition/conclusion as well as the evidence needed to show it is false. Example A) B) D) E) F) G) Statement All Glorks are blue SULEY TOY 9 If you are happy, then it 2160,000 Jovis nisiqb3:29ivom & 26d 01b99 bus est.09x01:29vom 26d basmA is Wednesday Maid bigas blow oides.bus gaim You don't get any v Sesd sns!! asmow candy Wzotvom I asd a'sti? You owe me $50 It is a dog smIt is not a tree to doidw enim9190 solsV diuiT You sit at a desk, if you're an accountant No students like to pay for parking Antecedent Consequent It is a Glorkulagniwoll It is blue biano if You are a bad person, you dine-and-dash You are not a girl DW 11612 291V01 W DW52 Nob You write essays 201094 10 9000 vom 2 6712 10 9mo Evidence for False xinA yellow glork 2 (1W 11612 291 2 509 10 11A MA 10 9102
Are the triangles to the right congruent? If they are, write a congruency statement and state why they are congruent. * %23 V O ATUV = AVWT by AAS ATUV = AVWT by ASA O ATUV = AVWT by SSS ATUV = AVWT by SAS
Which of the following is the best reason for statement number 2 in the table below? Given: AABC Prove: AABC AABC A B Statement Reasons 1. ΔΑΒC 1. Given 2. AB =AB; BC =BC; AC = AC 2. 3. 3 Definition of Congruent Triangles A. Symmetric Property of Congruence B. Transitive Property of Congruence C. Definition of Congruent Triangles D. Reflexive Property of Congruence