FINAL EXAM - Fall2024

Front

What is the measure of angle x if it is given that angle x = 70 degrees?

Back

Angle x measures 70 degrees.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

Solve for x: 2x + 10 = 70.

Back

x = 30.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

If two triangles have sides of lengths 5, 12, and 13, are they congruent?

Back

Yes, they are congruent by the SSS postulate.

Front

What is the measure of angle x if it is given that angle x = 160 degrees?

Back

Angle x measures 160 degrees.

Front

What is the definition of the circumradius?

Back

The circumradius is the radius of the circumcircle, which is the circle that passes through all the vertices of a polygon.

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

Solve for x: 3x - 5 = 10.

Back

x = 5.