
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
thumb_up100%

*Diagram Explanation:*
- The diagram shows two triangles. Triangle ABC has vertices labeled as A, B, and C. Triangle PQR has vertices labeled as P, Q, and R.
**Question:**
Which statement about the triangles is true?
**Options:**
- A) \( \angle A \cong \angle R \)
- B) \( \angle C \cong \angle R \)
- C) \( \overline{AB} \cong \overline{RQ} \)
- D) \( \overline{CB} \cong \overline{PQ} \)
**Explanation:**
Given that triangles ABC and PQR are congruent, it implies that their corresponding angles and sides are equal:
- \( \angle A \cong \angle P \)
- \( \angle B \cong \angle Q \)
- \( \angle C \cong \angle R \)
- \( \overline{AB} \cong \overline{PQ} \)
- \( \overline{BC} \cong \overline{QR} \)
- \( \overline{CA} \cong \overline{RP} \)
Therefore, the correct statement among the given options is B) \( \angle C \cong \angle R \).](https://content.bartleby.com/qna-images/question/a2f635ef-5743-4774-9862-2ebc917b3b5d/67bceb9b-210a-4f26-8695-752c376ddc4d/8kg8scz_thumbnail.png)
Transcribed Image Text:### Congruent Triangles
**Triangles ABC and PQR are congruent:**

*Diagram Explanation:*
- The diagram shows two triangles. Triangle ABC has vertices labeled as A, B, and C. Triangle PQR has vertices labeled as P, Q, and R.
**Question:**
Which statement about the triangles is true?
**Options:**
- A) \( \angle A \cong \angle R \)
- B) \( \angle C \cong \angle R \)
- C) \( \overline{AB} \cong \overline{RQ} \)
- D) \( \overline{CB} \cong \overline{PQ} \)
**Explanation:**
Given that triangles ABC and PQR are congruent, it implies that their corresponding angles and sides are equal:
- \( \angle A \cong \angle P \)
- \( \angle B \cong \angle Q \)
- \( \angle C \cong \angle R \)
- \( \overline{AB} \cong \overline{PQ} \)
- \( \overline{BC} \cong \overline{QR} \)
- \( \overline{CA} \cong \overline{RP} \)
Therefore, the correct statement among the given options is B) \( \angle C \cong \angle R \).
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
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 3 images

Knowledge Booster
Similar questions
- I have another qustionarrow_forwardIf the perimeter of triangle ABC is 56, what is the perimeter of triangle XYZ?arrow_forwardABCD is a parallelogram and EF is parallel to AB. Select all triangles are similar to triangle AEX? 12 cm 8 cm D 2cm E A Triangle CDA Triangle CFX O Triangle XFC Triangle CBA Triangle ADC X C F B 4arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education