## Chapter 5 - Properties of Geometric Figures

**Prescribed Learning Outcomes:**

B2 Solve problems that involve: triangles, quadrilaterals, regular polygons.

## Chapter 5 key ideas:

- Use the Pythagorean theorem to solve for a side, either the hypotenuse or a leg, in a right triangle.
- Use sine, cosine or tangent to solve for a side or an angle in a right triangle.
- Classify a triangle according to its angle measurements, side lengths or both.
- Use the angles of parallel lines and the lines that cross or intersect with them to calculate more angles.
- Classify quadrilaterals according to parallel lines, angle measures, and side lengths.
- Calculate the size of angles and sides of regular polygons. Calculate the total angle sum for a regular polygon.

## 5.1 Triangles

This section reviews the Pythagorean theorem, trigonometry, and classifying triangles. You have been introduced to all of these topics before in different Math courses.

Please watch the Pythagorean review video and then do page 176 #1.

Please watch the trigonometry review video and then do page 178 #2.

Please watch the classifying triangles video and then do page 182 #4-6, page 185 #7-9, and page 187 #1-3.

Please watch the Pythagorean review video and then do page 176 #1.

Please watch the trigonometry review video and then do page 178 #2.

Please watch the classifying triangles video and then do page 182 #4-6, page 185 #7-9, and page 187 #1-3.

## 5.2 Quadrilaterals

This section starts by reviewing skills with parallel lines and transversals and then moves on to introduce quadrilaterals. Quadrilaterals are four-sided figures. They come in many different configurations, some with parallel lines and some without.

Please watch the quadrilaterals video and then do page 191 #1-2.

Please look at the quadrilateral chart on page 192. It is similar to the one on the video. Do page 194 #3-4, page 197 #5-7, and page 200 #1-3.

Please watch the quadrilaterals video and then do page 191 #1-2.

Please look at the quadrilateral chart on page 192. It is similar to the one on the video. Do page 194 #3-4, page 197 #5-7, and page 200 #1-3.

## 5.3 Regular Polygons

A polygon is a closed shape that has 3 or more sides. We can calculate the sum of all of the angles in a polygon. A regular polygon is a closed shape that has all equal sides and all equal angles. Because the angles are all equal, we can determine their size.

Please watch the regular polygons video and then do page 205 #1-3, page 207 #4-6, and page 210 #1-5.

Please watch the regular polygons video and then do page 205 #1-3, page 207 #4-6, and page 210 #1-5.

## Review for the test:

Read the key ideas at the top of this page and ensure that you understand them all.

Mark all of your homework with the answer key in the classroom.

Complete and mark the practice test on page 213.

Mark all of your homework with the answer key in the classroom.

Complete and mark the practice test on page 213.