### 4-5: TEKS Practice

• 1. Point B has coordinates (2,1). The x-coordinate of point A is −10. The distance between point A and point B is 15 units. What are the possible coordinates of point A? Write an ordered pair. Use a comma to separate answers as needed.

• 2. Point B has coordinates (−4,−2). The x-coordinate of point A is 5. The distance between point A and point B is 12 units.

• a. What are the possible coordinates of point A?

• b. Find the possible coordinates of point A if point B were moved to (−2,−4).

• 3. A square pyramid has base edge length 22 ft. The slant height of the pyramid is 61 ft. What is the volume of the pyramid? • 4. What is the longest line segment that can be drawn in a right rectangular prism that is 16 cm long, 9 cm wide, and 7 cm tall? Round to one decimal place as needed.

• 5.

• a. What is true about the longest distance between any two vertices in a right rectangular prism that is 14 cm long, 13 cm wide, and 8 cm high? Select all that apply.

• A. The distance is the square root of the sum of the two longest lengths squared.

• B. The distance is greater than 14 cm.

• C. The distance can be found using the Pythagorean Theorem.

• D. The distance is at most 14 cm.

• b. Find the longest distance between any two vertices in this right rectangular prism. Round to one decimal place as needed.

• 6. Point A has coordinates (4,1). The x-coordinate of point B is 7. The distance between point A and point B is 5 units. Your friend says the coordinates of point B could be (8,4).

• a. What are the possible coordinates of point B? Write an ordered pair. Use a comma to separate answers as needed.

• b. What mistake did your friend make?

• A. Your friend moved the correct distance but the incorrect direction on the coordinate plane.

• B. Your friend used the given distance as one of the leg lengths instead of the hypotenuse length.

• C. Your friend switched the hypotenuse length for one of the leg lengths.

• D. Your friend's point does not have the same x-coordinate as point A. Your friend switched the leg lengths of the right triangle.

• 7. You are painting a square pyramid for a diorama. The square pyramid has base edge length 10 in. The height of the pyramid is 12 in. • a. Find the surface area of the square pyramid.

• b. You have enough paint to cover 400 in.2. Do you have enough paint for the pyramid?

• 8. Point A has coordinates (1,0). The x-coordinate of point B is 4. The distance between point A and point B is 5 units. What are the possible coordinates of point B? Write an ordered pair. Use a comma to separate answers as needed.

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