Fall Semester Test - Geometry 2024

Front

What does it mean if two segments are congruent?

Back

Two segments are congruent if they have the same length. This is denoted as \( \overline{PS} \cong \overline{WX} \) implies \( PS = WX \).

Front

What is the translation rule for moving a point 3 units left and 2 units up?

Back

The translation rule is represented as \( \langle -3, 2 \rangle \).

Front

How do you calculate the slope of a line given two points?

Back

The slope \( m \) is calculated using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). For points A(0,5) and B(5,0), the slope is \( m = \frac{0 - 5}{5 - 0} = -1 \).

Front

What is the relationship between parallel lines and corresponding angles?

Back

When two parallel lines are cut by a transversal, corresponding angles are equal.

Front

What is the measure of angle 6 if lines r and t are parallel and angle 6 is an alternate interior angle?

Back

If lines r and t are parallel, then the measure of angle 6 is equal to the measure of its corresponding angle.

Front

Define the term 'transversal' in geometry.

Back

A transversal is a line that intersects two or more lines at different points.

Front

What is the definition of a linear pair of angles?

Back

A linear pair of angles are two adjacent angles whose non-common sides form a straight line.

Front

How do you find the measure of an angle when given its supplementary angle?

Back

The sum of supplementary angles is 180 degrees. If one angle is known, subtract it from 180 to find the other.

Front

What is the formula for the distance between two points in a coordinate plane?

Back

The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.