1.
The dining room in Monticello, Thomas Jefferson's home in Virgina, is 216 inches by 222 inches. Of the following, which size rug would be similar in shape to the dining room rug?
2.
A 9-foot street sign casts a 12-foot shadow. The lamp post next to it casts a 24-foot shadow. How tall is the lamp post?
3.
An isosceles triangle has two sides that are equal in length. Isosceles triangle ABC is similar to triangle XYZ. Determine which proportion you would use to find the length of the third side of triangle XYZ.
4.
You decide to use a scale of 1 inch: 8 feet to make a scale drawing of your classroom. If the actual length of your classroom is 36 feet, what should the length of your classroom be in the scale drawing?
5.
Lucy drew this scale drawing to show the triangular flower bed that she wants to build in her yard. Based on the drawing, what will be the area of the actual flower bed?
6.
The two rectangles represent windows that are similar. Use the measurements to determine the height of the bigger window.
7.
Find the values of x in the triangle.
8.
Which of these side lengths could be used to make a triangle?
9.
Chantel constructs a triangle with angle measures 65 degrees and 38 degrees. What must be true of the measure of the third angle in her construction?
A.
It must measure exactly 77 degrees.
B.
It must measure exactly 87 degrees.
C.
It can have any measure less than 103 degrees.
D.
It can have any measure greater than 27 degrees.
10.
Josh constructs a triangle with angles measuring 54 degrees, 23 degrees, and 103 degrees. He wants to construct a different triangle with those angle measurements. What will he find if he does?
A.
It is not possible to construct a different triangle with those angles measures.
B.
Any other triangle he constructs with those angle measures will be congruent to his original triangle.
C.
Any other triangle he constructs with those angle measures will be similar to his original triangle.
D.
He can construct many other triangles with those angle measures, and none of them will be similar to the first triangle he constructed.
11.
Identify the cross section of this pyramid.
12.
When slicing a cone vertically through the vertex, what will be the shape of the resulting cross section?
13.
Which is the shape of the cross section formed when the pyramid is sliced by the plane as shown? (The base is not a right triangle)
14.
What is the shape of the cross section formed when the square pyramid is sliced by a plane perpendicular to its base that does not pass through its top vertex?
A.
Parallelogram (not a square)
B.
C.
D.
15.
Find the circumference of the circle using the figure below. Use 3.14 for . Round to the nearest whole number. (C=)
16.
The coin pictures has a radius of 26.5 millimeters. What is the approximate area of one side of the coin?
17.
A circle has an area of and a radius of 4 in. What is the circumference of the circle?
18.
Jordyn has a circular flower bed with a diameter of 18 feet in her yard. Approximately how many square feet of her yard is covered by the flower bed?
19.
Find the value of x in the figure shown.
20.
Find the value of x in the figure.
21.
Find the value of x in the figures shown.
22.
Find the surface area of the prism.
23.
Use the figure below to find the value of x.
x = ________ degrees
24.
A carpenter has a board with the given dimensions. If he cuts out the two circles, as shown, how much board will be left? Round your answer to the nearest tenth.
There will be _______ square inches left.