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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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties