Congruent and Similar Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the measure of x if two triangles are similar and the ratio of their corresponding sides is 3:4?

Back

If the corresponding sides are in the ratio 3:4, and if one side measures 9, then x = 12 (using the ratio to find the corresponding side).

Front

If ∠U ≅ ∠F, what can we conclude about these angles?

Back

If ∠U ≅ ∠F, then the angles are congruent, meaning they have the same measure.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid condition for proving triangle congruence because it can lead to ambiguous cases.

Front

In similar polygons, what is true about corresponding sides?

Back

In similar polygons, corresponding sides are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

In similar polygons, corresponding angles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

If two triangles have two pairs of equal angles, they are similar by the AA (Angle-Angle) similarity criterion.

Front

What is the SSS postulate in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.