Homework: 4-7
Triangle Congruence & CPCTC
1. CPCTC is an abbreviation of the phrase “Corresponding of Congruent are Congruent.”
Use the figure for Exercises 2 and 3. B≡E,C≡F, and ABDE.
2. Name the triangle congruence theorem that shows ABC ≡ DEF.
3. Use CPCTC to name the other three pairs of congruent parts in the triangles.
≡ ≡
4. Some hikers come to a river in the woods. They want to cross the river but decide to find out how wide it is first. So they set up congruent right triangles. The figure shows the river and the triangles. Find the width of the river, GH.
Use the phrases in the word bank to complete this proof. 5. Given: PQ  RQ, PQS ≡ RQS
≡
Prove: P > R Statements
1. PQRQ,PQS≡RQS
2. a. 3. b. 4. P ≡ R
Reasons

1. Given
2. Reflexive Property of ≡
3. SAS
4. c.
Use the blank graph for Exercises 6–9.
6. Plot these points: A(0, 0), B(0, 3), C(4, 0), X(−4, −3), Y(−4, 0), Z(0, −3). Draw segments to makeABC andXYZ.
7. Use the Distance Formula to find the length of each side. AB = BC =
XY = YZ =
8. Name the triangle congruence theorem that shows ABC > XYZ.
9. How do you know that X ≡ A?
AC = XZ =




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