Name the similar triangles.

triangles CBA and FDE with angle D congruent to angle B and angle E congruent to angle A

A. ΔABC ~ ΔDEF
B. ΔABC ~ ΔEDF
C. ΔABC ~ ΔDFE
D. ΔABC ~ ΔFED

Name the similar triangles triangles CBA and FDE with angle D congruent to angle B and angle E congruent to angle A A ΔABC ΔDEF B ΔABC ΔEDF C ΔABC ΔDFE D ΔABC Δ class=

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Answer:

ABC ~ FED

Step-by-step explanation:

A ~ F

B~E

C~D

If you're still confused, look at the angles. No lines match to A and F, 1 line matches to B and E, and 2 lines match to C and D.

Since similar triangles have corresponding angles that are congruent to each other, the similar triangles in the image given will be named as: B. ΔABC ~ ΔEDF

Given that the two triangles shown are similar to each other, thus, this implies that:

  • their corresponding side lengths are proportional.
  • their corresponding angles are congruent.

To state the name of the two similar triangles, note the angles that correspond to each other.

  • <A corresponds with <E
  • <B corresponds with <D
  • <C corresponds with <F

Therefore, since similar triangles have corresponding angles that are congruent to each other, the similar triangles in the image given will be named as: B. ΔABC ~ ΔEDF

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