Question

If a translation maps ∠D onto ∠B, which of the following statements is true?
triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
∠E ≅ ∠C
segment CE ≅ segment CA
∠E ≅ ∠A
segment CD ≅ segment CB

Answer 1

Answer:

∠E ≅ ∠A is the true statement.

Step-by-step explanation:

By basic proportionality theorem,

$\frac{ae}{cd} = \frac{bd}{ce}$

therefore

seg ED || seg AB

therefore

∠E ≅ ∠A ... in a triangle if parallel line is drawn then its adjacent angles are congruent.