Module 5 Review

1

Match each formula's name to its formula.

Draggable item		Corresponding Item
Distance Formula
Midpoint Formula
Pythagorean Theorem

1

Match each situation with the type of lines it describes.

Draggable item		Corresponding Item
Two lines with different slopes.		The same line.
Two lines with the same slope and the same y-intercept.		Parallel lines.
Two lines with opposite recipricol slopes.

1

10

Match all the PERPENDICULAR slopes.

Draggable item		Corresponding Item
y=2x-4		y = -1/2x + 5
y = 3x + 6		y = -1/3x + 8

1

Write the POINT-SLOPE equation of a line parallel to y=3x+5 that goes through the point (6, -2).

1

Write the POINT-SLOPE equation of a line perpendicular to x+2y=8 that goes through the point (-2,7)

1

Determine which sets of side lengths make right triangles.

1

Find the value of x, given that this is a right triangle. You can leave it as a square root if it is not a perfect square root.

1

On a right triangle, one leg measures 9 inches and the other leg measures 12 inches. How long is the hypotenuse?

8.G.7

1

What is the distance between the points (-4,9) and (8,14)? Leave your answer as a square root if it's not a perfect square.

2

What is the distance between the points (2,-4) and (6,4)? Leave your answer as a square root if it's not a perfect square.

15

Find the midpoint of XY for X (9,4) and Y (-2, -6). Leave your answer as an improper fraction.

derive and use formulas involving length, slope, and midpoint.

15

Find the midpoint of AB for A (-4, -1) and B (0, 11). Leave your answer as an improper fraction.

derive and use formulas involving length, slope, and midpoint.

1

The midpoint of line segment AB is (-4, 5). The coordinates of point A are (5, 11). What are the coordinates of point B?

1

Find the perimeter of the shape above using distance formula and/or Pythagorean Theorem.

1

If I lean a 15 foot ladder up a wall, with the base of the ladder 9 feet away from the wall, how far up the wall will it reach? (Draw a picture!)

1

What is the length of 'b'?

1

Module 5 Review

Match each formula's name to its formula.

Match each situation with the type of lines it describes.

Match all the PERPENDICULAR slopes.

Write the POINT-SLOPE equation of a line parallel to y=3x+5 that goes through the point (6, -2).

Write the POINT-SLOPE equation of a line perpendicular to x+2y=8 that goes through the point (-2,7)

Determine which sets of side lengths make right triangles.

Find the value of x, given that this is a right triangle. You can leave it as a square root if it is not a perfect square root.

On a right triangle, one leg measures 9 inches and the other leg measures 12 inches. How long is the hypotenuse?

What is the distance between the points (-4,9) and (8,14)? Leave your answer as a square root if it's not a perfect square.

What is the distance between the points (2,-4) and (6,4)? Leave your answer as a square root if it's not a perfect square.

Find the midpoint of XY for X (9,4) and Y (-2, -6). Leave your answer as an improper fraction.

Find the midpoint of AB for A (-4, -1) and B (0, 11). Leave your answer as an improper fraction.

The midpoint of line segment AB is (-4, 5). The coordinates of point A are (5, 11). What are the coordinates of point B?

Find the perimeter of the shape above using distance formula and/or Pythagorean Theorem.

If I lean a 15 foot ladder up a wall, with the base of the ladder 9 feet away from the wall, how far up the wall will it reach? (Draw a picture!)

What is the length of 'b'?

A ramp is 15 feet long with a height of 4 feet of the ground. What is the length of the base?

Match each formula's name to its formula.

Match each situation with the type of lines it describes.

Determine which lines are parallel.

Match all the PERPENDICULAR slopes.

Write the POINT-SLOPE equation of a line parallel to y=3x+5 that goes through the point (6, -2).

Write the POINT-SLOPE equation of a line perpendicular to x+2y=8 that goes through the point (-2,7)

Determine which sets of side lengths make right triangles.

Find the value of x, given that this is a right triangle. You can leave it as a square root if it is not a perfect square root.

On a right triangle, one leg measures 9 inches and the other leg measures 12 inches. How long is the hypotenuse?

What is the distance between the points (-4,9) and (8,14)? Leave your answer as a square root if it's not a perfect square.

What is the distance between the points (2,-4) and (6,4)? Leave your answer as a square root if it's not a perfect square.

Find the midpoint of XY for X (9,4) and Y (-2, -6). Leave your answer as an improper fraction.

Find the midpoint of AB for A (-4, -1) and B (0, 11). Leave your answer as an improper fraction.

The midpoint of line segment AB is (-4, 5). The coordinates of point A are (5, 11). What are the coordinates of point B?

Find the perimeter of the shape above using distance formula and/or Pythagorean Theorem.

If I lean a 15 foot ladder up a wall, with the base of the ladder 9 feet away from the wall, how far up the wall will it reach? (Draw a picture!)

What is the length of 'b'?

A ramp is 15 feet long with a height of 4 feet of the ground. What is the length of the base?