Geometry Prep First Semester Multiple Choice Practice

Front

What is a median in geometry?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side, dividing the triangle into two smaller triangles of equal area.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope or if the corresponding angles formed by a transversal are equal.

Front

What are Alternate Exterior Angles?

Back

Alternate Exterior Angles are pairs of angles that lie outside two parallel lines and on opposite sides of a transversal.

Front

If WZ = XY in triangle WXYZ, what can be inferred?

Back

If WZ = XY, then triangle WXYZ is isosceles, meaning it has at least two equal sides.

Front

What are Corresponding Angles?

Back

Corresponding Angles are pairs of angles that are in the same position on two parallel lines in relation to a transversal.

Front

What is the formula for finding the median of a triangle?

Back

The median can be found using the formula: Median = (2a + 2b - c) / 3, where a, b, and c are the lengths of the sides of the triangle.

Front

What is the relationship between angles formed by a transversal and parallel lines?

Back

When a transversal crosses parallel lines, several angle relationships are formed, including corresponding angles, alternate interior angles, and same-side interior angles.

Front

Define Alternate Interior Angles.

Back

Alternate Interior Angles are pairs of angles that lie between two parallel lines and on opposite sides of a transversal.

Front

What is the significance of the value of x in geometry problems?

Back

The value of x often represents an unknown length or angle that needs to be solved for in geometric problems.

Front

How do you solve for x in a median problem?

Back

To solve for x in a median problem, set up an equation based on the properties of the median and the triangle's sides, then solve for x.