Unit 1, Lesson 4
Parallelograms
Grade 6
Practice
Problem 1
Select all of the parallelograms. For each figure that is not selected, explain how you know it is not a parallelogram.
5 figures labeled A, B, C, D, E. Figure A, bottom and top sides are parallel, bottom = 3 units, top = 5 units, left and right sides are not parallel. Figure B, bottom and top and left and right sides are parallel and equal length. Top and bottom sides are horizontal, left and right sides are slanted. Figure C is a rectangle, base = 3 units. height = 4 units. Figure D is a pentagon. Figure E is a right triangle.
Problem 2
- Decompose and rearrange this parallelogram to make a rectangle.
- What is the area of the parallelogram? Explain your reasoning.
Problem 3
Find the area of the parallelogram.
Problem 4
Explain why this quadrilateral is not a parallelogram.
A quadrilateral on a grid. Bottom side length of 8 units. Top side length of 4 units. The left side ascends 5 units while moving right 13 units, and the right side ascends 5 units while moving right 9 units.
Problem 5
Find the area of each shape. Show your reasoning.
A shape with eight sides drawn on a grid. Four sides are straight sides and extend left, right, up and, down for 2 units each. The remaining sides are angled sides connecting each of the straight sides to the next. The shape is a total of 6 units tall and 6 units wide.