1. Lesson 8.5 Congruent Polygons
Essential Question: How do you identify and name congruent polygons?

2. Before we start… Quadrilateral 𝐴𝐵𝐶𝐷≅ Quadrilateral 𝐸𝐹𝐺𝐻
Find m∠𝐸, 𝑚∠𝐻, and 𝑚∠𝐵.
Find the length of 𝐴𝐷 and the length of 𝐸𝐹 .

3. Congruent
Congruent segments have equal lengths Congruent angles have equal measures The symbol ≅ means “is congruent to.”

4. What are congruent polygons?
Polygons that are the same shape and same size

5. What are corresponding parts?
The sides or angles that have the same relative position in different figures

6. How do you identify and name congruent polygons?
Corresponding angles are congruent.
Corresponding sides are congruent.
To name congruent polygons, list their corresponding vertices in the same order.

7. ∆𝐾𝐿𝑀≅∆𝑃𝑄𝑅

8. Name the corresponding parts.
Quadrilateral 𝐴𝐵𝐶𝐷≅ Quadrilateral 𝐽𝐾𝐿𝑀

9. Name the corresponding parts.
Quadrilateral 𝐻𝐽𝐾𝐿≅ Quadrilateral 𝑀𝑁𝑃𝑄

10. Given 𝐴𝐵𝐶𝐷≅𝑊𝑋𝑌𝑍, find the indicated measure. A. 𝑊𝑍 B. 𝑚∠𝑊

11. Given ∆𝐹𝐺𝐻≅∆𝐽𝐾𝐿, find the indicated measure. A. 𝐾𝐿 B. 𝑚∠𝐾

12. Given ∆𝐽𝐾𝐿≅∆𝑇𝑆𝑅, find the indicated measure. A. 𝑇𝑆 B. 𝑚∠𝑆

13. Congruent Triangles
You can use special rules to tell whether triangles are congruent. Side-Side-Side (SSS) Side-Angle-Side (SAS) Angle-Side-Angle (ASA)

15. Determine whether the triangles are congruent.

16. Determine whether the triangles are congruent.

17. Determine whether the triangles are congruent.

18. Determine whether the triangles are congruent.

19. Determine whether the triangles are congruent.

20. How do you identify and name congruent polygons?

21. Ticket Out the Door
In the diagram, Quadrilateral 𝐾𝐿𝑀𝑁≅ Quadrilateral 𝑆𝑃𝑄𝑅. Find 𝑚∠𝑅.