Question

1. write three valid congruency statements given the triangles below.

a)_________
b)_________
c)_________

Explanation:

Step1: Identify corresponding vertices

When writing congruency statements for triangles, we need to match the corresponding vertices. Let's assume the triangles are congruent.
Let’s say triangle \(TPW\) and triangle \(DGH\) are congruent.

Step2: Write congruency statements

• Congruency statement 1: \(\triangle TPW\cong\triangle DGH\) (matching vertices \(T - D\), \(P - G\), \(W - H\))
• Congruency statement 2: \(\triangle TWP\cong\triangle DHG\) (matching vertices \(T - D\), \(W - H\), \(P - G\))
• Congruency statement 3: \(\triangle PWT\cong\triangle GHD\) (matching vertices \(P - G\), \(W - H\), \(T - D\))

Answer:

a) \(\triangle TPW\cong\triangle DGH\)
b) \(\triangle TWP\cong\triangle DHG\)
c) \(\triangle PWT\cong\triangle GHD\)