Geometry Midterm Exam Review

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is parallel to a line with a slope of 3/4?

Back

The slope of a line parallel to another line is the same; therefore, it is also 3/4.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3/4?

Back

The slope of a line perpendicular to another line is the negative reciprocal; therefore, it is -4/3.

Front

How do you determine if two angles are complementary?

Back

Two angles are complementary if the sum of their measures equals 90 degrees.

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 relationship between alternate interior angles when two parallel lines are cut by a transversal?

Back

Alternate interior angles are equal when two parallel lines are cut by a transversal.

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 formula for the area of a triangle?

Back

The area (A) of a triangle is given by the formula: A = 1/2 * base * height.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are in proportion.