Test Review: Triangle Congruency

Front

What does SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruency?

Back

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

Front

What does AAS stand for in triangle congruency?

Back

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

Front

What is the centroid of a triangle?

Back

The centroid is the point of concurrency of the three medians of a triangle, which are the segments connecting each vertex to the midpoint of the opposite side.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumcircle.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect, and it is the center of the incircle.

Front

If two triangles have two sides of one triangle equal to two sides of another triangle, what can be concluded?

Back

If the included angle is also equal, the triangles are congruent by the SAS postulate.

Front

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, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, the larger angle is opposite the longer side, and the smaller angle is opposite the shorter side.