MP1 Make sense of problems and persevere in solving them. In this check for understanding , my students must first determine if the triangles are similar. Use similar polygons to solve problems. Now we will have the same relationship between the other two sides: We know that a proportion is two ratios that are equal to each other, so you can use either ratio, the relative size or the scale factor, and find the missing side. Click here to measure the side IK. Use any of the three methods we have just discussed.

In this section we will just concentrate on similar polygons. Applications Using Similar Polygons: If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. Use any of the three methods we have just discussed. One of my goals in this discussion is for students to be able to generalize their thinking to discover something new; for example, students will be able to explain why any two regular polygons with the same number of sides will be similar, using precise mathematical vocabulary. The Soda Can Task: Make sure that all of your units are the same in the ratios that you set up.

Discovering and Proving Polygon Properties Unit 9: Recall that a polygon is a closed shape consisting of a finite number of line segments that do not cross each other.

Discovering and Proving Circles Properties Unit Toys cars and airplanes that are scaled down versions of the real objects. Solve and Prove Similar Polygons 50 minutes. If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

Explore the Polygons in GSP. Discovering and Proving Triangle Properties Unit 8: Use similar polygons to solve problems.

# Ratios and Proportions – Similar figures – First Glance

Check the angles and corresponding sides: Toys cars and airplanes that are scaled down versions of the real objects. Dilation and Similarity Unit Test. There are three ways to solve for a polygoms side length of a polygon when you are given a pair of similar polygons. Nikki Masson and Brook Buckelew.

Now we will use the relationship between the sides of one polygon to find the lengths of the sides of the other polygons. Now we will have the same relationship between the other two sides: When groups of four have finished comparing their work, they may call me over to check their work against an answer key:.

Suppose you want to make a scaled down version of the flag. Like most warm-ups, I ask students to work individually before sharing out in their group to ensure that all students have had an opportunity to think on their own.

# NikkiMasson_geometry_similar

You can also think of similar objects or shapes as scaled versions of each other. Given that two polygons are similar, there is a scale factor between the corresponding sides of the polygons, call the scale factor, k. Use any of the three methods we have just discussed. Similar Polygons 10 minutes. polgyons

## Similarity Problem Solving and Proofs

Triangle Similarity and Trigonometric Ratios Unit answeds Use similar polygons to solve problems. Introducing Geometry Unit 3: We know that a proportion is two ratios that are equal to each other, so you can use either ratio, the relative size or the scale factor, and find the missing side.

Explore these similar polygons in GSP see if the theorem holds: Use any of the three methods we have just discussed. Solving Problems with Similar Polygons: Unit 12 Unit 1: Recall that a polygon is a closed shape consisting of a finite number of line segments that do not cross each other. To keep the conversation growing, I will ask pairs to then compare their thinking as a group of four with their table partners.

Now we will have the same relationship between the other two sides: One of my goals in this discussion is for students to be able to generalize their thinking to discover something new; for example, students will be able to explain why any two regular polygons with the same number of sides will be similar, using precise mathematical vocabulary. If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor.