Geometry Fall 2024 Semester Exam

Front

What is the formula to find the midpoint M of a line segment joining two points P(x1, y1) and Q(x2, y2)?

Back

M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

Front

How do you calculate the distance between two points C(x1, y1) and D(x2, y2)?

Back

Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Front

What is the measure of each interior angle of a regular polygon with n sides?

Back

Interior Angle = \frac{(n-2) \times 180}{n}

Front

What is the measure of each exterior angle of a regular polygon with n sides?

Back

Exterior Angle = \frac{360}{n}

Front

If PR = 32 and QR = 15, how do you find PQ using the Pythagorean theorem?

Back

PQ = \sqrt{PR^2 + QR^2} = \sqrt{32^2 + 15^2} = 17

Front

What is the sum of the interior angles of a polygon with n sides?

Back

Sum of Interior Angles = (n-2) \times 180°

Front

What is the formula for the area of a triangle given base b and height h?

Back

Area = \frac{1}{2} \times b \times h

Front

How do you find the area of a circle with radius r?

Back

Area = \pi r^2

Front

What is the formula for the circumference of a circle with radius r?

Back

Circumference = 2\pi r

Front

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

Back

a^2 + b^2 = c^2, where c is the hypotenuse.