Question 7(Multiple Choice Worth 1 points)

Question

(03.05 LC)

Name the similar triangles.

triangles CBA and DEF with angle D congruent to angle C and angle E congruent to angle B

ΔABC ~ ΔDEF
ΔABC ~ ΔEFD
ΔABC ~ ΔDFE
ΔABC ~ ΔFED

Answer 1

To determine the similarity of triangles based on the given angles, we know that if two angles in one triangle are congruent to two angles in another triangle, then the triangles are similar.

Given that angle D is congruent to angle C and angle E is congruent to angle B, we can establish that:

• Angle C corresponds to angle D
• Angle B corresponds to angle E
• The third angle in both triangles (A and F) would also be congruent since the angles in a triangle sum to 180 degrees.

Therefore, the correct naming convention for these similar triangles based on the angle correspondence is:

ΔABC ~ ΔDEF

So, the answer is: ΔABC ~ ΔDEF.