Question

Drag the tiles to the boxes to form correct pairs.
Match each set of conditions with the corresponding relationship between ∆ABC and ∆XYZ and the criterion (if any) that proves the relationship.

Answer 1

If AB = XY, BC = YZ and ∠B = ∠Y, hence ABC is congruent to XYZ by SAS criterion.

If AB = XY, and ∠A, ∠B is congruent to ∠X and ∠Y, hence ABC is congruent to XYZ by ASA criterion.

If ∠A, ∠B and ∠C is congruent to ∠X, ∠Y, and ∠Z hence ABC is not necessary congruent to XYZ.

If AB = XY, BC = YZ and AC = XZ, hence ABC is congruent to XYZ by SSS criterion.

What are congruent triangles?

Two triangles are said to be congruent if they have the same shape and all the corresponding sides are congruent.

For triangle ABC and XYZ:

• If AB = XY, BC = YZ and ∠B = ∠Y, hence ABC is congruent to XYZ by SAS criterion.
• If AB = XY, and ∠A, ∠B is congruent to ∠X and ∠Y, hence ABC is congruent to XYZ by ASA criterion.
• If ∠A, ∠B and ∠C is congruent to ∠X, ∠Y, and ∠Z hence ABC is not necessary congruent to XYZ.
• If AB = XY, BC = YZ and AC = XZ, hence ABC is congruent to XYZ by SSS criterion.

Both triangles are congruent if they meet the above criterion.

Find out more on congruent triangles at: https://brainly.com/question/2938476