Studdy AI Logo
Math

QuestionQuadrilaterals ABCD and HJKL are congruent. Find ∠K\angle K congruent to which angles: A, D, C, or L? Explain your reasoning.

Studdy Solution

STEP 1

Assumptions1. Quadrilateral ABC is congruent to Quadrilateral HJK. . When two figures are congruent, all corresponding sides and angles are congruent.

STEP 2

To answer the question, we need to identify the corresponding angle to ∠K\angle K in Quadrilateral ABC. Since Quadrilateral ABC is congruent to Quadrilateral HJK, the corresponding angles are congruent.

STEP 3

By the definition of congruent figures, corresponding parts of congruent figures are congruent. This means that if Quadrilateral ABC is congruent to Quadrilateral HJK, then ∠A\angle A corresponds to ∠H\angle H, ∠B\angle B corresponds to ∠J\angle J, ∠C\angle C corresponds to ∠K\angle K, and ∠D\angle D corresponds to ∠L\angle L.

STEP 4

Therefore, we can say that ∠K\angle K in Quadrilateral HJK is congruent to ∠C\angle C in Quadrilateral ABC.
So, the correct answer isa. ∠K≆∠A\angle K \ncong \angle A b. ∠K≆∠D\angle K \ncong \angle D c. ∠K≅∠C\angle K \cong \angle C d. ∠K≆∠L\angle K \ncong \angle L

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord