Geometry Review #1

Distance Formula:

• distance = |x2 - x1| + |y2 - y1|
• distance = √((x2 - x1)² + (y2 - y1)²)
• distance = √((x2 + x1)² + (y2 + y1)²)
• distance = (x2 - x1) + (y2 - y1)

What do we use the distance formula for?

• To calculate the area of a triangle.
• To determine the slope of a line.
• To find the midpoint of a line segment.
• To find the length, sides of shapes, and distance.

Midpoint Formula:

• Midpoint = ((x1 + y1) / 2, (x2 + y2) / 2)
• Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
• Midpoint = ((x1 - x2) / 2, (y1 - y2) / 2)
• Midpoint = (x1 + x2, y1 + y2)

What do we use the midpoint formula for?

• To find the median, perpendicular bisectors, and midpoint.

• To find the distance between two points.
• To calculate the area of a triangle.
• To determine the slope of a line.

What is the slope formula?

• m = (y2 - y1) / (x2 - x1)
• m = (y2 + y1) * (x2 - x1)
• m = (y1 + y2) / (x1 + x2)
• m = (x2 - x1) / (y2 - y1)

What do we use slope for?

• To find the midpoint of a line segment.
• To determine the color of a graph.
• To measure the steepness of a line or the rate of change between two variables.
• To calculate the area of a triangle.

The point (9, -4) is the midpoint of a segment. One endpoint

of the segment is located at (-8, 2). Find the other endpoint.

• (5, -2)
• (12, -6)
• (0, 0)
• (26, -10)

Find the midpoint of the segment joining the

two points A (5, -1) and B (-2, 7).

• (1, 5)
• (2, 4)
• (0, 3)
• (3/2, 3)

Find the length, in radical form, of the

segment joining the points (4, -1) and (2,-8).

• √53
• √30
• √65
• √45

If PQ passes through (-4, -6) and (-7, -1) and RS passes

through (-3, 8) and (6, -7), then PQ and RS would be which of the following:

• Parallel

• Perpendicular

• Neither