Application
Parallelograms

Parallelograms Problem Set

Use your knowledge of parallelograms to answer the following questions.

For Problems 1 - 4, fill in each blank with the correct response.

  1. Opposite sides are __________ and __________.
  2. Opposite angles are __________.
  3. Consecutive angles are ___________.
  4. Diagonals __________ each other.

For Problems 5 - 10, given each parallelogram, find the indicated measure(s).

  1. Find the indicated measures.

Parallelogram for question 5

    1. m∠S = __________
    2. m∠T = __________
    3. m∠R = __________
  1. Find the indicated measures.

Parallelogram for question 6

    1. DC = __________
    2. AC = __________
    3. EB = __________
  1. Find the indicated measures.

Parallelogram for question 7

    1. x = __________
    2. ∠L = __________
    3. m∠V = __________
  1. Find the indicated measures.

Parallelogram for question 8

    1. GH = __________
    2. HJ = __________
  1. Given the parallelogram GHJK:

    GJ = 4x + 22
    GF = 7x − 14

    What is the value of x?

Parallelogram for question 9

  1. ∠JKH is 3x − 9, and ∠GHK is 2x + 7. What is the value of x if GHKJ is a parallelogram?

Parallelogram for question 10

This activity is also available in a printable document.

 

Assignment iconAfter completing this assignment, please submit your work to the dropbox.