Geometry 22.5 Review (released test 23/24)

Front

What is the formula to find the midpoint of a line segment given two points A(x1, y1) and B(x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the cosine ratio in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the measure of each interior angle in a regular pentagon?

Back

Each interior angle of a regular pentagon measures 108°.

Front

How do you set up a proportion to find the height of an object using similar triangles?

Back

Set up the proportion as (height of object)/(length of shadow) = (height of another object)/(length of its shadow).

Front

What is the sine ratio in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the formula for the height of a triangle when given the base and angle?

Back

Height h = base * sin(angle).

Front

How do you calculate the height of a flagpole using shadows?

Back

Use the proportion: height of flagpole / length of flagpole's shadow = height of man / length of man's shadow.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is the formula for the area of a triangle?

Back

Area = (1/2) * base * height.

Front

What is the definition of a regular polygon?

Back

A regular polygon is a polygon with all sides and angles equal.