integrated math unit 7 geometric movement
Which pair of points are on the graph of y = -3x − 11?
(3, -20) and (-4, 1)
If the graph of y = -4x + 7 is perpendicular to the graph of y = mx + 3 , then what does m equal?
1/4
The perimeter of a rectangle is one more than the area of the rectangle. Find the area of the rectangle, if its width is 3 cm.
15 cm3
Suppose a gas tank is in the shape of a cylinder. The tank is 10 feet long and 5 feet in diameter. Find the amount of metal used to construct the tank.
196.3 ft3
Find the midpoint of A(1, 4) and B(3, -6). Place your answer in (x,y) notation with NO spaces.
2, -1
Five times the width of a certain rectangle exceeds twice its length by one inch, and three times its length is ten more than its perimeter. Find the width of the rectangle.
21 inches
Betsy wants to paint the walls of her bedroom. Her bedroom measures 8 ft. by 10 ft. and has 8 ft. ceilings. Not counting doors and windows, how many square feet of wall will Betsy need to paint?
288
The perimeter of a rectangle is four more than the area of the rectangle. Find the area of the rectangle, if its width is 1 cm.
2cm
Two times the width of a certain rectangle exceeds its length by three inches, and eight times its length is twelve more than its perimeter. Find the width of the rectangle.
3 in
Calculate the midpoint between (2, -5) and (4, -7).
3, -6
The area of a square is equal to twice the perimeter of the square. Find the perimeter of the square.
32
What is the surface area of a cylinder that has a volume of 785.4 in3 and a radius of 5 in?
471.2 in`
Under the translation (x,y) --> (x + 3, y + 2), the point (2, 5) will become what point?
5, 7
Suppose a gas tank is in the shape of a cylinder. The tank is 20 feet long and 8 feet in diameter. Find the amount of metal used to construct the tank. (Hint: use 3.14 for pi)
602.9
What volume of water will fit inside a cylindrical barrel that has a total surface area of 1885 in2 and a radius of 10 inches?
6283 in3
The area of a square is equal to twice the perimeter of the square. Find the area of the square.
64
Betsy wants to carpet the floor in her bedroom. Her bedroom measures 8 ft. by 10 ft. and has 8 ft. ceilings. How many square feet of carpet will she need to order?
80
Given A(6, -17), B(-6, 17), C(4, 9), D(-4, 4), the midpoint of which segment is at the origin?
AB
If A(5, 5), B(3, 3), C(6, 8), and D(-3, 4), then which segment is the shortest?
AB
Given A(9, 11), B(3, -4), C(6, -9), and D(-7, 7), then the midpoint of which line located in Quadrant II?
BD
Given A(9, 11), B(3, -4), C(6, 9), and D(-7, -7), then the midpoint of which line is located in Quadrant III?
BD
If A(5, 5), B(3, 3), C(6, 8), and D(-3, 4), then which segment is the longest?
CD
Under the translation T(-1, 2) the point (-2, 3) will become (-3, 1).
False
If M(x, y) is the midpoint of AB with A(3, 5) and B(-4, 8), then which Quadrant is M located in?
II
If M(x, y) is the midpoint of AB with A(4, 6) and B(-8, -12), then which Quadrant is M located in?
III
In the diagram, HM is perpendicular to KF. If you are at Q facing H and turn 315° clockwise, then 45° counterclockwise, what point will you be facing
K
Given NLM --> POM, name the image of angle LMN.
OMP
Given NLM --> POM, name the image of angle LMN.
OPM
Perpendicular lines have the same slopes.
false
In the figure below, the horizontal lines are parallel and equidistant. If AC = 11, SG = 10, BR = 9, and PF = 7, then which segment is shortest?
pt
Given NLM → POM, the image of angle MLN is angle MOP.
true
Given NLM → POM, the image of point L is point O.
true
Under the translation T(-1,2), the point (-1, 5) will become (-2, 7).
true
Which is the equation of the line passing through the points A(3, -3) and B(-4, 11)?
y = -2x + 3
Which line is parallel to y = -4x + 8?
y = -4x + 3
Write the equation of the mirror line for the segment with endpoints (3, 0) and (-5, -2).
y = -4x - 5
Write the equation of the mirror line for the segment with endpoints (3,0) and (-5, -2).
y = -4x − 5
Parallel lines have the same slopes.
True
