Geometry 1st Semester Final

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is given by: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$.

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if their measures add up to 180°.

Front

How do you find the slope of a line that is perpendicular to another line with a given slope m?

Back

The slope of a line perpendicular to another line with slope m is given by: $$m_{perpendicular} = -\frac{1}{m}$$.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by: $$y = mx + b$$, where m is the slope and b is the y-intercept.

Front

If m∠7 = 115°, what is the measure of angle 2 if they are vertical angles?

Back

If they are vertical angles, then m∠2 = 115°.

Front

What is the definition of a bisector in geometry?

Back

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

Front

What is the formula for the area of a triangle?

Back

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

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.

Front

How do you determine the coordinates of the midpoint between two points (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 a right angle?

Back

A right angle is an angle that measures exactly 90°.