Question

Show the similarity between a triangle with angles A, B, C, where m<A=47° and m<B=36°, and another triangle with angles G, H, and J, where m<G=36° and m<J=97°.

Answer 1

The similarity between these two triangles can be demonstrated by comparing their corresponding angles. In both triangles, angle B is equal to angle H (both measuring 36°). This indicates that both triangles have one pair of congruent angles.

However, it is important to note that the other two angles, A and C in the first triangle and G and J in the second triangle, are not congruent. Therefore, these two triangles are not similar. They only share one pair of congruent angles but not all three.