## Procedure

- On your own or in a pair create and cut out triangles for each of the conditions listed below.

- For each step it tells you to create as many triangles as possible. You will quickly discover that for some numbers all of the triangles you will be creating are congruent. Once you are

- Each triangle must be labeled with the number 1 - 7 based on the instructions

- Remember our new code words for grade 7 -

- Be sure to keep track of all of your triangles, you will need them to create art.

- Review the Success Criteria prior to beginning the assignment.

1. Create as many triangles that you can that have sides of 11cm, 14cm, and 18cm. Make these out of

2. Create as many triangles that you can with angle measures of 30, 45, and 105 degrees. Make these out of

3. Create as many triangles that you can that have sides of 14cm and 11cm with a 30 degree angle

4. Create as many triangles that you can that have a side of 11cm. At one end is a 30 degree angle and at the other end is a 105 degree angle. Make these out of

5. Create as many triangles that you can that have angle measures of 45 and 105 degrees. Have the side

6. Create as many triangles that you can that have a side of 18cm and a side of 14cm. Have the angle

7. Create as many triangles that you can that have a side of 18cm and a side of 14cm. Have the angle

- For all the triangles of the same colour that came out congruent, try to label each colour group with the way we know they are congruent (

- For each step it tells you to create as many triangles as possible. You will quickly discover that for some numbers all of the triangles you will be creating are congruent. Once you are

**certain**that there are no other ways to create a triangle with those measurements, move to the next step. You**MUST**create at least**2**triangles of each colour.- Each triangle must be labeled with the number 1 - 7 based on the instructions

**and the given measurements**. Because you will be cutting these triangles out, be sure to write the measurements**neatly**inside the shapes.- Remember our new code words for grade 7 -

**specific and precise**!- Be sure to keep track of all of your triangles, you will need them to create art.

- Review the Success Criteria prior to beginning the assignment.

**Steps:**1. Create as many triangles that you can that have sides of 11cm, 14cm, and 18cm. Make these out of

__red__paper.2. Create as many triangles that you can with angle measures of 30, 45, and 105 degrees. Make these out of

__orange__paper.3. Create as many triangles that you can that have sides of 14cm and 11cm with a 30 degree angle

*the two sides. Make these out of*__between____yellow__paper.4. Create as many triangles that you can that have a side of 11cm. At one end is a 30 degree angle and at the other end is a 105 degree angle. Make these out of

__green__paper.5. Create as many triangles that you can that have angle measures of 45 and 105 degrees. Have the side

*the 45° angle measure 14cm long. Make this with*__opposite____blue__paper.6. Create as many triangles that you can that have a side of 18cm and a side of 14cm. Have the angle

*the 14cm side be a 30 degree angle. Make this out of*__opposite____purple__paper.7. Create as many triangles that you can that have a side of 18cm and a side of 14cm. Have the angle

*the 18cm side be a 90 degree angle. Make this out of*__opposite____pink__paper.**NOW:**- For all the triangles of the same colour that came out congruent, try to label each colour group with the way we know they are congruent (

**SSS**,**SAS**,**ASA**,**AAS**and**HL).**For the triangle colour groups that were**NOT**congruent, label them as**not congruent**.## Final Product

- Using the labelled triangles, create a piece of triangle artwork. Do not overlap any of the triangles. It is important for your audience to see all of each triangle.

- Complete the following reflection questions. Remember that your should apply APE to all types of questions:

1. What does Congruent mean?

2. List which are the RELIABLE CONDITIONS for creating Congruent Triangles from the list.

3. Which two conditions did

- Review the Success Criteria before handing in your artwork AND your Reflection Sheet.

- Complete the following reflection questions. Remember that your should apply APE to all types of questions:

1. What does Congruent mean?

2. List which are the RELIABLE CONDITIONS for creating Congruent Triangles from the list.

3. Which two conditions did

**create Congruent Triangles?**__not__- Review the Success Criteria before handing in your artwork AND your Reflection Sheet.

## Extend

Return to your art and label all of your triangles. One a separate piece of paper, prove that all of your congruent triangles are equal. Be sure to provide complete explanations for each.