Question

Write a similarity statement for the triangles.

In Triangle CDE, C=60°, and D=53°. In Triangle FGH, F=60°, and H=67°

Answer 1

The triangles are similar by Angle-Angle-Angle similarity

both triangles vertexes are 60°, 53°, and 67°

Explanation:

Answer 2

Explanation:

ΔCDE ,

∠C + ∠D + ∠E = 180 {angle sum property of triangle}

60 + 53 + ∠E = 180

113 + ∠E = 180

∠E = 180 - 113

∠E = 67

ΔFGH ,

∠F + ∠H + ∠G = 180 {angle sum property of triangle}

60 + 67 + ∠G = 180

127 + ∠G = 180

∠G = 180 - 127

∠G = 53

∠C = ∠F

∠E = ∠H

∠D = ∠G

ΔCDE ~ ΔFGH ------ AA similarity