Math / Geometry

QuestionWhat are the corresponding parts of the figures below? Select all that apply. $\angle B \cong \angle L$ $\angle A \cong \angle L$ $\angle B \cong \angle M$ $\overline{B A} \cong \overline{K L}$ Submit

Studdy Solution

STEP 1

1. We are given two triangles, $\triangle ABC$ and $\triangle KLM$ .
2. We need to identify corresponding congruent parts between these triangles.
3. Congruent angles and sides have the same measure.

STEP 2

1. Identify congruent angles between the triangles.
2. Identify congruent sides between the triangles.
3. Select the correct options based on identified congruences.

STEP 3

Identify congruent angles between the triangles:
- Given $\angle B = 61^\circ$ in $\triangle ABC$ and $\angle L = 61^\circ$ in $\triangle KLM$ , we have: $\angle B \cong \angle L$
- Given $\angle A = 40^\circ$ in $\triangle ABC$ and $\angle M = 40^\circ$ in $\triangle KLM$ , we have: $\angle A \cong \angle M$
- Given $\angle C = 79^\circ$ in $\triangle ABC$ and $\angle K = 79^\circ$ in $\triangle KLM$ , we have: $\angle C \cong \angle K$

STEP 4

Identify congruent sides between the triangles:
- Given $AB = 22$ mi in $\triangle ABC$ and $KL = 22$ mi in $\triangle KLM$ , we have: $\overline{AB} \cong \overline{KL}$
- Given $AC = 20$ mi in $\triangle ABC$ and $KM = 20$ mi in $\triangle KLM$ , we have: $\overline{AC} \cong \overline{KM}$
- Given $BC = 14$ mi in $\triangle ABC$ and $LM = 14$ mi in $\triangle KLM$ , we have: $\overline{BC} \cong \overline{LM}$

STEP 5

Select the correct options based on identified congruences:
- $\angle B \cong \angle L$ is correct. - $\angle A \cong \angle L$ is incorrect. - $\angle B \cong \angle M$ is incorrect. - $\overline{B A} \cong \overline{K L}$ is correct.
The correct corresponding parts are: - $\angle B \cong \angle L$ - $\overline{B A} \cong \overline{K L}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms