Question

question 4 of 10
which pairs of triangles appear to be congruent? check all that apply.

a. triangles 2 and 3
b. triangles 2 and 4
c. triangles 3 and 4
d. triangles 1 and 2
e. triangles 1 and 4
f. triangles 1 and 3

Explanation:

To determine congruent triangles, we check if they have the same shape and size (corresponding sides and angles equal). From the diagram:

• Triangle 1 is smaller. Triangle 2, 3, 4 seem to have the same size/shape.
• Triangles 2 and 3: Same shape and size? Visually, yes (if they look congruent).
• Triangles 3 and 4: Same shape and size? Yes (visually congruent).
• Triangles 2 and 4: Same shape and size? Yes (visually congruent).
• Triangles 1 and others: Different size, so not congruent.

Wait, re - evaluating: Let's assume the triangles. If triangle 2, 3, 4 are congruent (same size/shape), and triangle 1 is smaller. So:

• Option A: Triangles 2 and 3: Congruent (same size/shape).
• Option B: Triangles 2 and 4: Congruent (same size/shape).
• Option C: Triangles 3 and 4: Congruent (same size/shape).
• Options D, E, F: Triangle 1 is smaller, so not congruent with 2,4,3.

But maybe the correct ones are A, B, C? Wait, maybe the diagram shows triangle 2,3,4 as congruent. Let's check again. If triangle 2,3,4 have the same dimensions (side lengths, angles), then:

• A: 2 and 3: Congruent.
• B: 2 and 4: Congruent.
• C: 3 and 4: Congruent.

Answer:

A. Triangles 2 and 3, B. Triangles 2 and 4, C. Triangles 3 and 4