Volume
Identify the slope of each line.
Negative, zero, positive
bigger, smaller
The rectangle below gives dimensions in centimeters. What are the measures of the other two side lengths of the rectangle?
6cm and 2cm
Two similar triangles are shown below. Name each pair congruent angles. (There are three pairs)
N and H, L and J, M and K
The following is a picture of a tissue box. What best describes the surface area of the box?
a) the six faces of the box
b) the space inside the box
c) the top and bottom of the box only
d) the four side faces of the box, but not the top or bottom
A, the six faces of the box
DOUBLE POINTS!!!
A scale drawing of swimming pool uses a scale of 1 inch for every 3 feet. If the pool measures 8 inches in the drawing, what the pool's actual length?
24 feet
Point P is located at the coordinates (-2, 5). What is image of point P after a dilation with a scale factor of 2, centered at the origin?
P'(-4, 10)
DOUBLE POINTS!!!
How many lines of symmetry does a square have? How many lines of symmetry does a rectangle have?
square - 4
rectangle - 2
The two triangles below are similar. How would you write a similarity statement for these triangles?
Triangle PQR is similar to triangle YXZ
DOUBLE POINTS!!!
Find the surface area of the cylinder to the nearest hundredth. The height of the cylinder is 8cm and the radius of the cylinder is 4cm.
301.44cm^2
Which equation given represents the graph below?
A) y = -2x
B) y = 1/2x
C) y = 2x
D) y = -1/2x
D,
y=-1/2x
A student draws triangle KLM and dilates it by a scale factor of 3, centered at the origin. Find the coordinates of K'L'M' after the dilation occurs.
K'(9, 9)
L'(-6, -6)
M'(15, -9)
Word bank: parallel, congruent, perpendicular, right angles
congruent, right angles
The floor a room and small rug have shapes that are geometrically similar. What proportion could be used to find the length of the side KN according to the picture below.
4/10=x/16
Find the volume of a rectangular prism with a length of 12mm, a width of 8mm, and a height of 6mm.
576mm^3
DOUBLE POINTS!!!
Oscar washes several cars each day to earn extra money. He is paid $20 to wash each car.
Let x represent the number of cars Oscar washes.
Let y represent the total amount Oscar is paid.
Write an equation to represent this situation.
y=20x
DOUBLE POINTS!!!
In a graphic design project, the length of a logo is resized from 9 inches to 3 inches. What is the scale factor of the resizing?
1/3
In trapezoid ABCD, the measure of angle C is 65 degrees. Use this information to figure out the measures of angles A, B, and D.
angle A = 115 degrees
angle B = 115 degrees
angle D = 65 degrees
Triangles ABC and DEF are similar. Look at the picture below and determine the measure of angle E.
60 degrees
Consider the rectangular prism below. What would happen to the volume of the rectangular prism if the width was tripled?
The volume would also be tripled (multiplied by 3).
On your whiteboard graph, graph a line with a slope of 3 that passes through the point (-1, -3). Plot 2 points that lie on this line and have integer coordinates.
Consider quadrilateral KLMN below. Graph on your whiteboard the image of quadrilateral KLMN after a dilation by a scale factor of 1/4, centered at the origin.
Choose the characteristics that are always true for each quadrilateral. Select all the correct answers. You may select more than one answer in each row.
Four congruent sides - rhombus, square
Four congruent angles - rectangle, square
Two sets of parallel sides - parallelogram, rectangle, rhombus, square
DOUBLE POINTS!!!
If triangle ABC is similar to triangle DEF, what is the value of x in the picture below?
x=20