4-3 Congruent Triangles - Weebly
4-3 Congruent Triangles
Warm Up 1. Name all sides and angles of FGH.
2. What is true about K and L? Why?
LEARNING GOALS ? LESSON 4.3 4.3.1: Use properties of congruent triangles. 4.3.2: Prove triangles congruent by using the definition of congruence.
__________________ ___________ and __________ are in the same _____________ in polygons with an equal number of sides. Two polygons are ______________ if and only if their corresponding sides are congruent.
In a congruence statement, the ____________ of the vertices indicates the corresponding parts.
Given that polygon MNOP polygon QRST, identify the congruent corresponding part.
1. NO ____
2. T ____
4-3 Congruent Triangles
Example 1A: Naming Congruent Corresponding Parts Given: PQR STW, identify all pairs of corresponding congruent parts.
Example 1B: Using Corresponding Parts of Congruent Triangles a. Given: ABC DBC.
Find the value of x.
b. Given: ABC DBC. Find mDBC.
c. Given: ABC DEF Find the value of x.
d. Given: ABC DEF Find mF.
4-3 Congruent Triangles
Example 2: Proving Triangles Congruent Given: YWX and YWZ are right angles. YW bisects XYZ. W is the midpoint of XZ. XY YZ. Prove: XYW ZYW
Statements 1. YWX and YWZ are rt. s. 2. YW bisects XYZ. 3. W is the midpoint of XZ. XY YZ.
Reasons 1. Given 2. Given 3. Given
___. XYW ZYW
Given: PR and QT bisect each other. PQS RTS, QP RT Prove: QPS TRS
Statements 1. QP RT, PQS RTS 2. PR and QT bisect each other.
Reasons
1. Given 2. Given
4-3 Congruent Triangles
Given: C is the midpoint of BD and AE. A E, AB ED Prove: ABC EDC
Statements
1. A E 2. C is mdpt. of BD and AE 3. AB ED
Reasons
1. Given 2. Given 3. Given
7. ABC EDC
Given: AD bisects BE. BE bisects AD. AB DE,
Prove: ABC DEC
A D
Statements 1. A D 2. BE bisects AD.
Reasons 1. Given 2. Given
7. ABC DEC
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