Geometry Fall Final Review #2 LBJ

Front

Find the measure of an angle if its supplement is five times as large as the angle.

Back

Let the angle be x. Then, its supplement is 180° - x. The equation is: 180° - x = 5x. Solving gives x = 30°.

Front

What is a ray that divides an angle into two congruent angles?

Back

Angle Bisector.

Front

Given that p is parallel to q, find x if the corresponding angles are equal.

Back

If p || q, then corresponding angles are equal. Solve for x using the angle measures.

Front

Given B is the midpoint of AC, find A if B is (-10, 4) and C is (-6, 2).

Back

Using the midpoint formula: B = ((x_A + x_C)/2, (y_A + y_C)/2). Solving gives A = (-14, 6).

Front

If two angles are supplementary, what is the relationship between their measures?

Back

The sum of the measures of two supplementary angles is 180°.

Front

What is the definition of a transversal in geometry?

Back

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

Front

What is the formula for the area of a triangle?

Back

Area = (1/2) * base * height.

Front

What is the Pythagorean theorem?

Back

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the relationship between the angles formed when two parallel lines are cut by a transversal?

Back

Alternate interior angles are equal, corresponding angles are equal, and consecutive interior angles are supplementary.