Question

Consider the triangles. Triangle G H I. Side G H is 16 inches, H I is 15 inches, G I is 10 inches. Angle G is 65 degrees, H is 48 degrees, I is 67 degrees. Triangle D E F. Side D E is 3 inches, E F is 3.2 inches, D F is 2 inches. Angle D is 67 degrees, E is 48 degrees, F is 65 degrees. What can be concluded about these triangles? Check all that apply. The corresponding angles are proportional. The ratios of the corresponding sides are equivalent. The corresponding sides are congruent. The corresponding angles have the same measure. DE corresponds to IH.

Answer 1

Question: What can be concluded about these triangles? Check all that apply. Answer: B,D,and E.

Answer 2

The triangles are Similar Triangles

Explanation:

The corresponding angle are NOT proportional

The ratios of corresponding sides ARE equal.

The corresponding sides are NOT congruent.

The corresponding angle HAVE same measure

Two triangles are said to be similar triangle when they have the same shape but not necessarily the same size.

Which means that if two triangle have there corresponding angles congruent, and if there corresponding sides are in ratio, they are considered as Similar Triangle.

Corresponding angle:

∠H = ∠E

∠G = ∠F

∠I = ∠D

All angle are congruent

Ratio of Corresponding sides:

16/3.2 : 15/3 : 10/2

5:5:5

Hence Proved