GeoGebra Classroom

## Learning Intentions and Success Criteria

We are learning to:
• Comprehend a conjecture and express it (in writing) as a specific statement to prove.
We are successful when we can:
• Rewrite a conjecture so it is specific enough to prove.

## 12.1: Play with Parallelograms

1. ﻿Which figures (if any) are always rectangles? Which figures can be dragged to make a rectangle?

2. ﻿Which figures (if any) are always parallelograms? Which figures can be dragged to make a parallelogram?

## Six Properties of Parallelograms

1. Opposite sides are congruent (AB DC).
2. Opposite angles are congruent (D B).
3. Consecutive angles are supplementary (mA + mD = 180°).
4. If one angle is right, then all angles are right.
5. The diagonals of a parallelogram bisect each other.
6. Each diagonal of a parallelogram separates it into two congruent triangles.

## Show the Properties of Parallelograms 1, 2, 3, & 4 in this applet.

Write an explanation in detail for properties of parallelograms 1, 2, 3, & 4.

## Write an explanation in detail for property 5 of parallelograms.

5. The diagonals of a parallelogram bisect each other.

## Write an explanation in detail for property 6 of parallelograms.

6. Each diagonal of a parallelogram separates it into two congruent triangles.

## Learning Intentions and Success Criteria

We are learning to:
• Comprehend a conjecture and express it (in writing) as a specific statement to prove.
We are successful when we can: