Geometry Honors Final Exam Review - S1

Front

What is a congruence statement in geometry?

Back

A congruence statement indicates that two geometric figures are congruent, meaning they have the same shape and size. It is often written in the form ∆ABC ≅ ∆DEF.

Front

What are remote interior angles?

Back

Remote interior angles are the angles that are inside a triangle and opposite a given exterior angle. For example, if angle d is an exterior angle, the remote interior angles are the two angles inside the triangle that do not share a vertex with angle d.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If the slope of one line is m, the slope of the perpendicular line is -1/m.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if all corresponding sides and angles are equal. This can be proven using various congruence postulates such as SSS, SAS, ASA, AAS, and HL.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B lies in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

How do you identify corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others. If the lines are parallel, corresponding angles are equal.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points. It creates various angles, including corresponding angles, alternate interior angles, and same-side interior angles.

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 degrees.

Front

How do you calculate the measure of an angle when given its complement?

Back

The measure of an angle and its complement add up to 90 degrees. If the complement is known, subtract it from 90 to find the angle's measure.