Semester 1 Exam Review (Geometry)updated

Front

What is the definition of a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If Q is the midpoint of PR and PQ = 6x - 7, QR = 5x + 1, how do you find the length of PR?

Back

Set PQ = QR, solve for x, then use either PQ or QR to find the length of PR.

Front

What is the angle bisector theorem?

Back

The angle bisector theorem states that the angle bisector of an angle in a triangle divides the opposite side into segments that are proportional to the adjacent sides.

Front

If m∠FBC = (10x - 9)° and m∠CBE = (4x + 15)°, how do you find m∠FBE?

Back

Use the angle bisector theorem: m∠FBE = m∠FBC + m∠CBE.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

How do you find the measure of a missing angle in a triangle?

Back

Subtract the sum of the known angles from 180°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

If two angles are vertical angles, what can you say about their measures?

Back

Vertical angles are equal in measure.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = (1/2) * base * height.