SBA Review: ANGLE RELATIONSHIPS

Multiple Choice

Angle LMN and angle NMR are supplementary angles. What is the value of x

• 90
• 60
• 48
• 72

Open Ended

Two sides of a triangle have lengths of 15 inches and 12 inches. What are the possible lengths of the third side?

Multiple Select

Which of the following are properties of vertical angles?

• They are congruent

• They are formed by intersecting lines

• They are always supplementary

• They are always adjacent

Multiple Choice

Which of the following statements correctly describes the difference between complementary and supplementary angles?

• Complementary angles sum is equal to 90°; supplementary angles sum is equal to 180°

• Complementary angles sum is equal to 180°; supplementary angles sum is equal to 90°

• Both complementary and supplementary angles sum is equal to 90°

• Both complementary and supplementary angles sum is equal to 180°

Multiple Choice

Given three side lengths, what must be true for them to form a triangle?

• The sum of any two side lengths must be greater than the third side length

• The sum of all three side lengths must be less than 180°

• All three side lengths must be equal

• At least one side must be longer than the other two combined

Fill in the Blanks

The sum of the three interior angles of a triangle is always

.

Multiple Choice

a triangular garden is being formed with stones. the three sides measure 4 meters, 6 meters, and 7 meters which of the following is a true statement about the side lengths of the triange?

• the side lengths will Not form a triangle because 6 + 4 > 7

• the side lengths Will form a triangle because 6 + 4 < 7

• the side lengths will Not form a triangle because 7 + 4 < 6

• the side lengths Will form a triangle because 4 + 6 > 7

Multiple Choice

Two angles are supplementary to each other. If the first angle measures 58°, then which of the following could be the measure of the second angle?

• 122°

• 32°

• 58°

• 90°

Multiple Choice

Which of the following will NOT produce a triangle?

• Angle measures of 33°, 67°, and 80°

• Side lengths of 5 inches, 5 inches, and 9 inches

• Angle measures of 90°, 60°, 30°

• Side lengths of 4 inches, 8 inches, and 12 inches

Multiple Choice

What is the measure of ∠A in the image shown below?

• m∠A = 45°

• m∠A = 15°

• m∠A = 55°

• m∠A = 35°

Multiple Choice

The table below shows the relationship between the number of miles traveled, x, and the number of gallons of gas used, y. Which of the following equations best represents the relationship?

• 35 = 1x

• y = 1/35x

• y = 35x

• y = 3.5x

Multiple Choice

Angle ADB is adjacent to angle BDC. Which of the following is a true statement about the angles?

• ∠ADB = 34° and ∠BDC = 45°

• ∠ADB = 32° and ∠BDC = 42°

• ∠ADB = 40° and ∠BDC = 54°

• ∠ADB = 24° and ∠BDC = 30°

Multiple Choice

A teacher asked three different students to write the conditions that would result in a triangle. Which of the following students listed conditions that would result in more than one triangle?

• Student I and II

• Student III

• Student II only

• Student I and III

Multiple Choice

Which of the following shapes describes the 2D figure formed by slicing parallel to the base of a triangular prism?

• rectangle

• parallelogram

• trapezoid

• triangle

Open Ended

Explain how you would find the area of the deck in the model shown in image 2. What steps would you take and why?

Multiple Choice

Janice uses the model below to determine the area of her deck before she paints it. What is the area of the deck in square feet?

• 192 ft²

• 184 ft²

• 168 ft²

• 84 ft²

Fill in the Blanks

If angle ABC is 2x and angle CBD is 38°, and they are complementary, write the equation you would use to solve for x: 2x +

= 90°

Multiple Choice

Angle ABC and angle CBD are complementary. What is the value of x?

• 26

• 38

• 51

• 90

Open Ended

What questions do you still have about angle relationships or triangles after today's lesson?

Open Ended

What is one thing you learned today about angle relationships that you found interesting or surprising?