Question

4)) which two triangles are congruent by the sss theorem? complete the congruence statement.

(there are three triangles with labels g, j, h; w, x, v; t, s, u, and congruence marks on their sides. below the triangles, there is a congruence statement to complete: δ_ ≅ δ_)

Explanation:

Step1: Identify SSS condition

SSS requires 3 equal sides. Check marked sides:

• $\triangle GIH$: 1 double-red, 1 single-red, 1 triple-red side.
• $\triangle TSU$: 1 double-red, 1 single-red, 1 triple-red side.
• $\triangle WVX$: 2 single-red, 1 double-red side (no triple-red).

Step2: Match triangles

$\triangle GIH$ and $\triangle TSU$ have 3 corresponding equal sides.

Answer:

$\triangle GIH \cong \triangle TSU$