Geometry Final

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What does it mean to dilate a triangle?

Back

To dilate a triangle means to resize it proportionally from a center point, maintaining the shape but changing the size.

Front

If triangle ABC is dilated by a factor of ⅔, what happens to the lengths of its sides?

Back

The lengths of the sides of triangle ABC will be multiplied by ⅔.

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc can be found using the formula: (central angle/360) * circumference.

Front

What is the equation of a circle with center (h, k) and radius r?

Back

(x - h)² + (y - k)² = r².

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is a complementary angle?

Back

Two angles that add up to 90 degrees.