Symmetry of Quadrilaterals

Isometric Transformations

Isometric transformations maintain the size of a shape. The three isometric transformations are: 1. translations: these slide a shape up or down, left or right. 2. reflections: these use a line or a point of reflection to create a shape's mirror image. 3. rotations: these spin a shape around a point. Today we'll explore which transformations we can use on triangles to recreate our favorite quadrilaterals with the goal of understanding both the symmetry of quadrilaterals and the properties of congruent triangles.

Symmetry of Parallelograms

1. How can you transform triangle ABC so that it forms a parallelogram?

Step 1: Click the icon the has a line with two points on either side. Step 2: Test different isometric transformations. Step 3: What transformation(s) worked to complete the parallelogram? Write your response below.

Symmetry of Rectangles

2. How can you transform triangle ABC so that it forms a rectangle?

Step 1: Click the icon the has a line with two points on either side. Step 2: Test different isometric transformations. Step 3: What transformation(s) worked to complete the rectangle? Write your response below.

3. How can you transform triangle ABC so that it forms a square?

Step 1: Click the icon the has a line with two points on either side. Step 2: Test different isometric transformations. Step 3: What transformation(s) worked to complete the square? Write your response below.

Symmetry of a Rhombus

How was triangle AEB transformed to create the rhombus ABCD?

Write a step by step procedure below. Use the geo tools to test your answer.