Geometry 4.3

Geometry 4.3 Congruent Triangles

Learning Targets • Students should be able to… • Use properties of congruent triangles. • Prove triangles congruent using the definitions of congruence.

Warm-up

Homework Check

4.2 Review WS Remote Interior Angle Interior Angle Exterior Angle Remote Interior Angle

4.2 Review WS • Review of Theorems

4.2 Review WS • Find x

4.2 Review WS • Review Corollaries

4.2 Review WS

Take 4.1 – 4.2 Quiz

Vocabulary R L S T N M

Vocabulary R L S T N M R L S T N M

4.3 Notes Geometric figures are congruent if they are the same size and shape. Corresponding Angles and Corresponding Sides are in the same position in polygons with an equal number of sides. Two polygons are Congruent Polygons if and only if their corresponding sides are congruent. Thus triangles that are the same size and shape are congruent.

Recognizing Similar Polygons

Example 1: Naming Congruent Corresponding Parts Example 1: Naming Congruent Corresponding Parts Given: ∆PQR ∆STW Identify all pairs of corresponding congruent parts.

Example 2A: Using Corresponding Parts of Congruent Triangles Example 2A: Using Corresponding Parts of Congruent Triangles Given: ∆ABC ∆DBC. Find the value of x. Find mDBC.

Example 2A: Using Corresponding Parts of Congruent Triangles Check It Out! Example 2a Given: ∆ABC  ∆DEF Find the value of x. Find mF.

Example 3: Proving Triangles Congruent YW bisects XYZ. W is the midpoint of XZ. XYYZ. Given:YWX and YWZ are right angles. Prove: ∆XYW ∆ZYW

Example 3: Proving Triangles Congruent Given:AD bisects BE. BE bisects AD. Prove:∆ABC  ∆DEC

Lesson Quiz (if time)

Geometry 4.3

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