Geometry Midterm

Front

Find the number of sides of a polygon that has 65 diagonals.

Back

A polygon with n sides has diagonals calculated by the formula: Diagonals = n(n-3)/2. To find n, set 65 = n(n-3)/2 and solve for n. The answer is n = 13.

Front

Name the property of triangle congruence: If triangle ABC is congruent with triangle DEF, then triangle DEF is congruent with triangle ABC.

Back

Symmetric Property of Congruence states that if one figure is congruent to another, then the second figure is congruent to the first.

Front

Complete the congruence statement if triangle LMN is congruent with triangle RST: Segment LN is congruent with segment ____.

Back

RT. In congruent triangles, corresponding sides are equal.

Front

Identify the relationship of the statement: 'If a person likes apple pie, then he is an American' to the conditional 'If a person is an American, then he likes apple pie'.

Back

The statement is the converse of the original conditional.

Front

Find the measure of angle QPR.

Back

60 degrees.

Front

What is the formula for the sum of interior angles of a polygon with n sides?

Back

The sum of interior angles = (n-2) * 180 degrees.

Front

Define congruent triangles.

Back

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

Front

What is the definition of a diagonal in a polygon?

Back

A diagonal is a line segment that connects two non-adjacent vertices in a polygon.

Front

What is the Transitive Property of Congruence?

Back

If triangle ABC is congruent to triangle DEF and triangle DEF is congruent to triangle GHI, then triangle ABC is congruent to triangle GHI.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.