Angle Relationships and Parallel Lines
Angle Relationships and Triangles
The Pythagorean Theorem
Converse of the Pythagorean Theorem
Distance on the Coordinate Plane
100
In the figure, line u is parallel to line v. For each pair of angles, classify the relationship in the figure as alternate interior, alternate exterior, or corresponding.
∠3 and ∠5
What is alternate interior?
100
Find the value of x.
What is 120o?
100
A ladder is resting on a tree. The height from the bottom of the tree to the top of the ladder is 20 feet. The base of the ladder is 5 feet away from the tree. What is the length of the ladder? Round to the nearest tenth.
What is 20.6 ft?
100
The Mighty Motorcycle Club president designs a bike jump. The jump forms a triangle with dimensions of 10 feet, 26 feet, and 36 feet. Is the triangle formed by the bike jump a right triangle?
What is NO?
10^2 +26^2!=36^2
100
Find the distance between the two points.
What is 5?
200
In the figure, line u is parallel to line v. For each pair of angles, classify the relationship in the figure as alternate interior, alternate exterior, or corresponding.
∠1 and ∠6
What is corresponding?
200
Find the value of x.
What is 50o?
200
A fishing line that is 35 inches long is hanging down from the tip of a fishing pole. The bottom of the line to the base of the pole is 40 inches. How long is the fishing pole? Round to the nearest tenth.
What is 53.2 in?
200
An archaeologist marked on a map the locations of where three relics are hidden. Determine whether the triangle formed by the locations of the relics is a right triangle.
What is YES?
12^2 + 35^2 = 37^2
200
What is the distance between the two points? Round to the nearest tenth.
What is 10.8?
300
Diego’s skis are leaning at an angle against a fence railing and are parallel to each other. Find m∠3 if m∠2=158°. 
What is 22o?
300
In △FGH, the measures of angles F, G, and H, respectively, are in the ratio 4:4:10.
Find the measure of each angle.
What are 40, 40, and 100?
300
A chess piece is 15 centimeters tall, and its shadow is 13 centimeters long. How far away is the top of the chess piece from the end of its shadow? Round to the nearest tenth.
What is 19.8 cm?
300
Justine has three pieces of garden edging measuring 12 feet, 20 feet, and 16 feet. Is the garden formed by these pieces a right triangle?
What is YES?
12^2+16^2=20^2
300
What is the distance between the two points? Round to the nearest tenth.
What is 7.8.
400
Cheyenne left her pole for vaulting on the running track. Find m∠2 and m∠3 if m∠1 = 106°.
What is m∠2 = 74° and m∠3 = 74°?
400
In the knitting pattern, m∠1 = 42°. Find the measure of ∠2.
What is 132o?
400
A pyramid has the dimensions shown. What is the height of the pyramid? Round to the nearest meter.
What is 6 m?
400
Avonte wonders whether the inside of a goalpost forms a right triangle. Determine whether the triangle is a right triangle.
What is NO?
20^2+21^2!=30^2
400
An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found: one at position (1, 3) and the other at (-5, 8). How far apart were the two artifacts? Round to the nearest tenth of a unit if necessary.
7.8 units
500
In the figure, line p is parallel to line q. The measure of ∠9 is 129°. What is the measure of ∠1? 
What is 39°?
500
In the figure, m∠ 4 = 74° and m∠3 = 43°. Find the measures of ∠1 and ∠2.
What are 31o and 106o?
500
A rectangular prism has a height of 5 centimeters. The diagonal of the base is 7 centimeters. What is the length of the diagonal of the prism? Round to the nearest tenth of a centimeter.
What is 8.6 cm?
500
A caterer attempts to cut slices of cheese into right triangles. The sides of each slice are
5.5 centimeters, 8.5 centimeters, and
6.5 centimeters. Did the caterer successfully create right triangles?
What is NO?
5.5^2+6.5^2!=8.5^2
500
Find the area of the square below.
What is 25 square units?