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Triangles ABC and PQR are congruent. A B C R P

Triangles ABC and PQR are congruent. A B C R P

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Congruent Triangles **Triangles ABC and PQR are congruent:** ![Triangles ABC and PQR](URL-to-image) *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) \( \angle C \cong \angle R \).
Transcribed Image Text:### Congruent Triangles **Triangles ABC and PQR are congruent:** ![Triangles ABC and PQR](URL-to-image) *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) \( \angle C \cong \angle R \).
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