Angle Relationships - Quick Check

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1. A triangular garden is being formed with stones. The three sides measure 4 meters by 6 meters by 7 meters. Which of the following is a true statement about the side lengths of the triangle?

• A. The side lengths will not form a triangle because 6 + 4 > 7.
• B. The side lengths will form a triangle because 4 + 6 < 7.
• C. The side lengths will not form a triangle because 7 + 4 < 6.
• D. The side lengths will form a triangle because 6 + 7 > 4.

2. 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?

• A. 122°
• B. 32°
• C. 58°
• D. 90°

3. Which of the following will NOT produce a triangle?

• A. Angle measures of 33°, 67°, and 80°
• B. Side lengths of 5 inches, 5 inches, and 9 inches
• C. Angle measures of 90°, 60°, 30°
• D. Side lengths of 4 inches, 8 inches, and 12 inches

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

• A. m∠A = 45°
• B. m∠A = 15°
• C. m∠A = 55°
• D. m∠A = 35°

5. 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?

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

• A. ∠ADB = 34° and ∠BDC = 45°
• B. ∠ADB = 32° and ∠BDC = 42°
• C. ∠ADB = 40° and ∠BDC = 54°
• D. ∠ADB = 24° and ∠BDC = 30°

7. 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?

• A. Student I and II
• B. Student II only
• C. Student III
• D. Student I and III

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

• A. rectangle
• B. parallelogram
• C. trapezoid
• D. triangle