Geometry Fall Semester Exam

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the measure of the missing angle in a triangle if the other two angles are 40° and 65°?

Back

The missing angle is 75° because the sum of angles in a triangle is 180°.

Front

What is the ASA postulate in triangle congruence?

Back

The ASA (Angle-Side-Angle) postulate states that 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 are the angle measures in an equilateral triangle?

Back

In an equilateral triangle, all three angles measure 60°.

Front

What does the term 'bisect' mean in geometry?

Back

To bisect means to divide something into two equal parts or congruent pieces.

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

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90°.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the difference between acute and obtuse angles?

Back

An acute angle measures less than 90°, while an obtuse angle measures more than 90° but less than 180°.