This document discusses identifying congruent figures and their corresponding congruent parts. It defines congruent figures as having the same shape and size, with their corresponding parts (matching sides and angles) being congruent. It provides two examples of naming congruent sides and angles of congruent triangles based on either a visual comparison or a stated congruence. The document checks the reader's understanding with two short problems identifying congruent parts of triangles.

1. Identify congruent figures
& their corresponding
congruent parts

2. Vocabulary
Congruent figures have the same _______ & _______
• Their corresponding parts (matching _______ and
_________ ) are _________________.
shape
size
sides
angles congruent

3. Example 1: Naming Congruent Parts of Congruent Figures
Angles: Sides: 𝑬𝑫 ≅ 𝑺𝑹
𝑬𝑭 ≅ 𝑺𝑻
𝑫𝑭 ≅ 𝑹𝑻
∠E ≅ ∠S
∠D ≅ ∠R
∠F ≅ ∠T
vertices
Triangle Congruence Statement: _________________
∆EDF ≅ ∆SRT
 Must list corresponding ___________ in the same order

4. Example 2: Naming Congruent Parts of Congruent Figures from a
Congruence Statement
If HIJK≅LMNO, list the congruent corresponding parts.
Angles: Sides: 𝑯𝑰 ≅ 𝑳𝑴
𝑰𝑱 ≅ 𝑴𝑵
𝑱𝑲 ≅ 𝑵𝑶
𝑯𝑲 ≅ 𝑳𝑶
∠H ≅ ∠L
∠I ≅ ∠M
∠J ≅ ∠N
∠K ≅ ∠O

5. Check Your Understanding!
1. Write a triangle congruence statement for the two
triangles below:
Δ_______ ≅ Δ_______
FGH JKH

6. Check Your Understanding!
2. If you are given that ∆AUS ≅ ∆KAP, name the three
pairs of congruent sides.
𝑨𝑼 ≅ 𝑲𝑨
𝑼𝑺 ≅ 𝑨𝑷
𝑨𝑺 ≅ 𝑲𝑷