1st Semester Geometry Exam Review

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).

Front

What is the definition of similar triangles?

Back

Triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

How do you determine the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the Pythagorean theorem?

Back

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): a^2 + b^2 = c^2.

Front

What is the relationship between the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the shorter the angle, the shorter the opposite side.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

How do you find the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

The length L is given by L = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

Front

What is the definition of congruent figures?

Back

Figures are congruent if they have the same shape and size.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by A = \frac{1}{2} \times base \times height.