# Section A: Practice Problems Side Lengths, Angles, and Lines of Symmetry

## Section Summary

## Details

In this section, we looked at different attributes of shapes, such as the number and length of sides, the measurements of sides and angles, and whether the shapes had parallel and perpendicular sides.

We then used these attributes to classify quadrilaterals and triangles.

Triangles with a right angle are **right triangles**.

Quadrilaterals with two pairs of parallel sides are **parallelograms**.

Quadrilaterals with two pairs of parallel sides and four right angles are **rectangles**.

Quadrilaterals with four equal sides are **rhombuses**.

Quadrilaterals with four equal sides and four right angles are **squares**.

We also learned about **lines of ****symmetry**. A figure that has a line of symmetry can be folded along that line to create two halves that match up exactly.

## Problem 1 (Pre-Unit)

Which shapes are quadrilaterals?

Which shapes are rhombuses?

Which shapes are rectangles?

## Problem 2 (Pre-Unit)

Find the perimeter and area of the rectangle. Explain or show your reasoning.

## Problem 3 (Pre-Unit)

Select **all** images that show half of the shaded rectangle.

## Problem 4 (Lesson 1)

Name some attributes that these shapes share.

Name some attributes that the shapes do not share.

## Problem 5 (Lesson 2)

Which of the triangles are right triangles?

Which of the triangles have an obtuse angle?

Which of the triangles have 3 acute angles?

## Problem 6 (Lesson 3)

Here are 3 rhombuses:

What attributes do the rhombuses share?

What attributes are different in the three rhombuses?

## Problem 7 (Lesson 4)

Draw the lines of symmetry for these letters:

## Problem 8 (Exploration)

Complete each figure so that the dashed line is a line of symmetry for the new figure.

## Problem 9 (Exploration)

Draw all the lines of symmetry you can find in this snowflake. How many can you find?

## Problem 10 (Exploration)

Draw each shape and all the lines of symmetry you can find in it.

rectangle

rhombus

square