Download Geometry - Van Buren Public Schools

7.2 All the Same to You
GEOMETRY
7.2 CONGRUENT TRIANGLES

Objectives
 Identify
corresponding sides and corresponding
angles of congruent triangles
 Explore the relationship between the corresponding
sides of congruent triangles
 Explore the relationship between the corresponding
angles of congruent triangles
 Write congruence statements for congruent
triangles
 Identify and use rigid motion to create new images
PROBLEM 1: UNDERSTANDING CONGRUENCE

Collaborate 1-5 (8 Minutes)
𝑎2 + 𝑏2 = 𝑐 2
1a. The triangles are scalene, right triangles
PROBLEM 1: UNDERSTANDING CONGRUENCE
𝐴𝐵 ≅ 𝐷𝐸,
𝐷𝐹 = 8,
𝐵𝐶 ≅ 𝐸𝐹,
𝐸𝐹 = 7,
𝐴𝐶 ≅ 𝐷𝐹
𝐷𝐸 ≈ 10.6
5. Corresponding Sides of Congruent Triangles are Congruent
PROBLEM 1: UNDERSTANDING CONGRUENCE

Collaborate 6-9 (6 Minutes)
 Protractors
needed for 6 and 8
7. The measures of corresponding angles of congruent
triangles are equal
PROBLEM 1: UNDERSTANDING CONGRUENCE
PROBLEM 1: UNDERSTANDING CONGRUENCE
Corresponding Angles of Congruent Triangles are
Congruent
PROBLEM 2
STATEMENTS OF TRIANGLE CONGRUENCE

Collaborate 1-2 (5 Minutes)
PROBLEM 2
STATEMENTS OF TRIANGLE CONGRUENCE
a. ∆𝑇𝑊𝐶 𝑤𝑎𝑠 𝑟𝑜𝑡𝑎𝑡𝑒𝑑 90𝑜
b. Yes
c. ∆𝑇𝑊𝐶 ≅ ∆𝑃𝑀𝐾
d. Angles
• ∠𝑇 ≅ ∠𝑃
• ∠𝑊 ≅ ∠𝑀
• ∠𝐶 ≅ ∠𝐾
d. Sides
• 𝑇𝑊 ≅ 𝑃𝑀
• 𝑊𝐶 ≅ 𝑀𝐾
• 𝑇𝐶 ≅ 𝑃𝐾
PROBLEM 2
STATEMENTS OF TRIANGLE CONGRUENCE

Skip #3

Talk the Talk Pg. 541
 Collaborate
1-2 (2 Minutes)
∆𝐷𝑊𝑇 ≅ ∆𝑋𝑃𝐿
Angles
∠𝐷 ≅ ∠𝑋
∠𝑊 ≅ ∠𝑃
∠𝑇 ≅ ∠𝐿
Sides
𝐷𝑊 ≅ 𝑋𝑃
𝑊𝑇 ≅ 𝑃𝐿
𝐷𝑇 ≅ 𝑋𝐿
FORMATIVE ASSESSMENT

Skills Practice 7.2

Pg. 565-570 (1-18)