 # Define Rectangles and Rhombuses based on Attributes

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Videos, examples, solutions, and lessons to help grade 5 students learn how to draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.

### New York State Common Core Math Module 5, Grade 5, Lesson 18

Lesson 18 Concept Development

Problem 1
a. Draw a rhombus, and articulate the definition.
b. Measure and label its angles to explore their relationships.
c. Fold and measure to explore diagonals of rhombuses.

Problem 2
a. Draw a rectangle according to the definition of a rectangle.
b. Measure and label its angles to explore their relationships.
c. Fold and measure to explore diagonals of rectangles.

A rhombus:
• Is a quadrilateral with all sides of equal length.
A rectangle:
• Is a quadrilateral with four right angles.

Lesson 18 Problem Set

1. Draw the figures in each box with the attributes listed.
Rhombus with no right angles.
Rectangle with not all sides equal.
Rhombus with 1 right angle.
Rectangle with all sides equal. 3. Draw a rhombus and a rectangle below.
a. Draw the diagonals and measure their length. Record the measurements on the figure.
b. Measure the length of each segment of the diagonals from the vertex to the intersection point of the diagonals. Using a marker or crayon, color segments that have the same length. Use a different color for each different length. Lesson 18 Homework

1. Use the grid paper to draw.
a. A rhombus with no right angles.
b. A rhombus with 4 right angles.
c. A rectangle with not all sides equal.
d. A rectangle with all sides equal.
2. A rhombus has a perimeter of 217 cm. What is the length of each side of the rhombus?
3. List the properties that all rhombuses share.
4. List the properties that all rectangles share.

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