Question

ΔCDE was translated down and right to form triangle
ΔC′D′E′.

Triangle C E C is translated down and to the right to form triangle C prime D prime E prime.

Which statements are true? Check all that apply.

A. DE ≅ D′E′
B. EC ≅ E′C′
C. ED ≅ D′C′
D. C′D′ ≅ D′E′
E. D′C′ ≅ DC
F. ΔCDE ≅ ΔC′D′E′

Answer 1

True: A, B, E, F.

Reason: A translation maps C→C′, D→D′, E→E′ and preserves distances. So DE ≅ D′E′ (A), EC ≅ E′C′ (B), DC ≅ D′C′ (E), and the triangles are congruent (F). C and D are not generally true.