14.3 Area and Perimeter of Parallelograms
Name _______________________________
Use the distance formula or Pythagorean Theorem and find the length of each side first. Round your
answer to the nearest hundredth, if necessary. Determine the perimeter of each given parallelogram on
the coordinate plane. Then find the area of each parrallelogram. Remember base and height must meet
at a right angle. All measurements are in centimeters (cm).
1. Parallelogram ABCD
Perimeter___________
Area ______________
Perimeter __________________
Perimeter ________________________
Area _____________________
Area ____________________________
4.
Perimeter _________________
Area ______________________
5.
6.
Perimeter __________________
Perimeter _____________________
Area ______________________
Area _________________________
7.
8. Double the area of parallelogram AHSW by
manipulating the base. Label the image A’H’SW
9. Double the area of parallelogram DOGZ by
manipulating the height. Label the image DOG’Z’
Review
10. A. Rotate parallelogram ABCD 90° counterclockwise about
the origin. Label new image A’B’C’D’ and write the coordinates of
the new image.
B. Reflect parallelogram ABCD over the x-axis. Label new image
A”B”C”D” and write the coordinates of the new image.
11. A. Determine the transformation used to create triangle XYZ.
B. Write a triangle congruence statement for the triangles shown.
C. Write the congruence statements for the sides and angles of the
triangles.
12. Use the SAS Congruence Theorem and a protractor to
determine if triangle DEF is congruent to triangle KLM. EXPLAIN
YOUR REASONING!
13. Determine if there is enough information to prove that each pair of triangles are congruent by ASA
or AAS or SSS. Write the congruence statements to justify your reasoning.
A.
B.
C.
14.