unit 2 lesson 3 cumulative practice problems
date
period
1. triangle abc is congruent to triangle edf.
that takes abc to edf. so, kiran knows that there is a sequence of rigid motions
* sometimes the curriculum uses the word coincides instead of corresponds.
select all true statements after the transformations.
a. angle a coincides with angle f.
b. angle b coincides with angle d.
c. segment ac coincides with segment ef.
d. segment bc coincides with segment ed.
e. segment ab coincides with segment fd.
a rotation by angle ace using point c as the center takes triangle cba onto triangle cde. is there any

Question

Accepted Answer

# Explanation:
## Step1: Recall congruent triangle properties
When two triangles are congruent, corresponding angles and sides are equal. Here, triangle $ABC$ is congruent to triangle $EDF$.
## Step2: Analyze angle correspondences
For angles, $\angle A$ in $\triangle ABC$ corresponds to $\angle E$ in $\triangle EDF$, $\angle B$ in $\triangle ABC$ corresponds to $\angle D$ in $\triangle EDF$, and $\angle C$ in $\triangle ABC$ corresponds to $\angle F$ in $\triangle EDF$.
## Step3: Analyze side correspondences
For sides, $AB$ in $\triangle ABC$ corresponds to $ED$ in $\triangle EDF$, $BC$ in $\triangle ABC$ corresponds to $DF$ in $\triangle EDF$, and $AC$ in $\triangle ABC$ corresponds to $EF$ in $\triangle EDF$.

# Answer:
b. Angle $B$ coincides with angle $D$.
e. Segment $AB$ coincides with segment $ED$.

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall congruent triangle properties

Step2: Analyze angle correspondences

Step3: Analyze side correspondences

Answer: