Midpoints and angle bisectors

Front

What is the definition of a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint between (1, 2) and (3, 4).

Back

Midpoint = (2, 3).

Tags

CCSS.HSG.GPE.B.6

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

If angle A measures 50 degrees, what is the measure of each angle formed by the angle bisector?

Back

Each angle measures 25 degrees.

Front

Find the angle bisector of angle JHG if m∠JHG = 161 degrees.

Back

m∠GHK = 80.5 degrees and m∠KHJ = 80.5 degrees.

Tags

CCSS.HSG.CO.C.9

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

Given points A(-4, 5) and midpoint M(7, -9), find the endpoint B.

Back

Endpoint B = (18, 13).

Tags

CCSS.HSG.GPE.B.6

Front

What is the relationship between the angles formed by an angle bisector?

Back

The angles are equal; the angle bisector divides the angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

If the coordinates of two points are (3, -1) and (7, -5), what is the midpoint?

Back

Midpoint = (5, -3).

Tags

CCSS.HSG.GPE.B.6