Scale Drawings
Triangle Side Lengths
Angle Relationships
Cross Sections
Area/Surface Area
Volume
Circumference/Area of Circles
100
The distance between two cities on a map is 2 inches. The scale of the map is 1 inch = 25 miles. What is the actual distance between the two cities?
50 miles
100
Can the lengths of 3 cm, 4 cm, and 5 cm form a triangle? (Must show your work and justify answer)
Yes
100
What are vertical angles? What can you say about their measures?
Vertical angles are angles that are opposite each other when the lines intersect. Vertical angles have the same measure (equivalent).
100
What is a cross-section?
A cross-section is the shape you get when you cut through a three-dimensional object.
100
What is the area of this composite shape?
43 in2
100
What is the volume of the following shape?
108 yd3
100
What is the definition of the circumference?
The circumference of a circle is the measure of the outside of a circle.
200
The distance between two objects is 55 feet. The scale of a drawing is 1 inch = 11 feet. How far apart are the objects in the drawing?
5 inches
200
Can side lengths of 7 cm, 10 cm, and 15 cm form a triangle? (Must show your work and justify answer)
No
200
Define the following terms:
- Complementary Angles
- Supplementary Angles
- Adjacent Angles
- Linear pair
Complementary Angles: Two angles that add up to 90 degrees.
Supplementary Angles: Two angles that add up to 180 degrees.
Adjacent Angles: Share a common side and a common vertex but do not overlap. Referred to as "neighbor angles".
Linear Pair: Two adjacent angles whose non-common sides form a straight line.
200
What are the three types of cuts that can be done to create cross-sections?
1. Perpendicular to the base
2. Parallel to the base
3. Angled cut
200
What is the area of this composite shape?
279 yds2
200
What is the volume of the following shape?
840 in3
200
What is the circumference of this circle?
26.78 m
300
A model of a skyscraper is created at a scale of 1 inch = 20 feet. If the model's height is 18 inches and the width is 5 inches, what is the actual height and width in feet?
Length: 360 feet
Width: 100 feet
300
Can side lengths of 13 inches, 20 inches, and 32 inches form a triangle? (Must show your work and justify answer)
No
300
Solve the following problem.
Complement: 57 degrees
Supplement: 147 degrees
300
Find the cross-sections of this shape:
Parallel: rectangle
Perpendicular: square
Angled: triangle
300
What is the area of the shaded region?
112 cm2
300
The base of a prism is a right triangle with legs measure 3 feet and 4 feet. If the height of the prism is 13 feet, determine its volume.
78 ft3
300
What is the circumference of this circle?
213.5 ft
400
A scale drawing of a triangular park has sides measuring 6 inches, 8 inches, and 10 inches. If the scale is 1 inch = 12 feet, what is the actual perimeter of the park in feet?
288 feet
400
Given two sides of a triangle measuring 5 cm and 7 cm, what is the range of possible values for the length of the third side?
2<c<12
or
c>2 AND c<12
400
Using the diagram below, find the measures of the remaining angles.
<BAC: 90o
<BAF: 71o
<FAE: 29o
400
Find the area of the cross-section of the object below.
117 cm2
400
Find the surface area of the following shape.
366 in2
400
What is the volume of this composite shape?
480 yd3
400
What is the area of this circle?
452.4 in2
500
Officials want to lay new turf on the field of M&T Stadium. They used a scale drawing to estimate how much turf they need. The length is 36 inches and the width is 18 inches. Using the scale 1 in = 5 feet, what is the total area of the actual field (in feet)?
16,200 ft2
500
Two sides of a triangle measure 3/4 inches and 5/6 inches. What is the range of possible lengths for the third side in meters?
1/2<c<19/12
or
c>1/2 AND c<19/12
500
Draw a diagram with the following terms:
- Two Complementary Angles
- Two Supplementary Angles
- Two Vertical Angles
MAKE SURE TO LABEL YOUR ANGLES
500
What three-dimensional shape has a cross section parallel to the base that is a square and perpendicular to the base that is a rectangle?
A rectangular prism
500
Find the surface area of the following shape.
709 ft2
500
What is the volume of this composite shape?
8,190 ft3
500
Patty sells three sizes of pizzas: small, medium, and large. If a small pizza has a radius of 4 inches, a medium pizza has a radius of 6 inches, and a large pizza has a radius of 8.5 inches, find the area of each size of pizza.
Small: 50.3 in2
Medium: 113.1 in2
Large: 227 in2