 # Define Parallelograms based on Attributes

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Lesson Plans and Worksheets for Grade 5
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Videos, examples, solutions, and lessons to help grade 5 students learn how to draw parallelograms to clarify their attributes, and define parallelograms based on those attributes.

### New York State Common Core Math Module 5, Grade 5, Lesson 17

Lesson 17 Concept Development

Problem
a. Draw a parallelogram and articulate the definition.
b. Measure and label its angles to explore their relationships.
c. Fold and measure to explore diagonals of parallelograms.

• Consists of four different points A, B, C, D in the plane and four segments, AB, BC, CD, DA.
• Is arranged so that the segments intersect only at their endpoints, and
• Has no two adjacent segments that are collinear.

Lesson 17 Homework

1. ∠A measures 60°. Extend the rays of ∠A and draw parallelogram ABCD on the grid paper.
a. What are the measures of ∠B, ∠C, and ∠D?
2. WXYZ is a parallelogram not drawn to scale.
a. Using what you know about parallelograms, give the measure of sides XY and YZ.
b. ∠WXY = 113°. Use what you know about angles in a parallelogram to find the measure of the other angles.
3. Jack measured some segments in Problem 2. He found that WY = 4 cm and MZ = 3 cm.
Give the lengths of the following segments:
4. Using the properties of the shapes, explain why all parallelograms are trapezoids.
5. Teresa says that because the diagonals of a parallelogram bisect each other, if one diagonal is 4.2 cm, the other diagonal must be half that length. Use words and pictures to explain Teresa’s error.

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