### 7-2 PROBLEM SOLVING RATIOS IN SIMILAR POLYGONS ANSWERS

Are the triangles similar? Now we will use the relationship between the sides of one polygon to find the lengths of the sides of the other polygons. Applications Using Similar Polygons: When we debrief the warm-up, I call on student volunteers who are willing to share out and defend their answers. Recall that two shapes are congruent if they have the same shape and size. If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor. MP1 Make sense of problems and persevere in solving them.

Unit 12 Unit 1: Check the angles and corresponding sides: Toys cars and airplanes that are scaled down versions of the real objects. The Soda Can Task: Below are a few examples of polygons:

# Solve similar triangles (basic) (practice) | Khan Academy

Then they need to justify how they know before 7- for mone of the side lengths. When two shapes have the same shape but different sizes, we call the shapes similar. Click here to measure the side IK. Students will be able to apply the definition of similarity to determine whether snswers, triangles in particular, are similar and solve for sides and angles when possible.

If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

Click here to measure the side IK. Introducing Geometry Unit 3: A large flag flown in front of a school is 4ft. We can use the relationship between two of the corresponding sides, to find the rest of the corresponding sides. Use any of the three methods we have just discussed. Below are a few examples of polygons: When groups of four have finished comparing their work, they may call me over to check their work against an answer key: Check the angles and corresponding sides: Polygons whose corresponding angles are congruent and whose corresponding sides are proportional are called similar polygons.

## Similarity Problem Solving and Proofs

Recall that two shapes are congruent if they have the same shape and size. Now that I have presented several key ideas around similarity, I want to give students an opportunity to apply their understanding by solving problems and writing proofs.

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. Suppose you want to make a scaled down version of the flag. Similar Polygons and Triangle Similarity Shortcuts.

All the angles in a rectangle are congruent to each other and now check that the sides are proportional to each other. Solving Problems with Similar Polygons: Sign Up Log In.

Midterm Exam Review Unit 7: There are three ways to solve for a missing side length of a polygon when you are given a pair of similar polygons. The Pythagorean Theorem Unit Toys cars and airplanes that are scaled down versions of the real objects.

Similar Polygons and Triangle Similarity Shortcuts 10 minutes. Are the triangles similar? Use similar polygons to solve problems.

In this check for understandingmy students must first determine if the triangles are similar.

Since we prblem only discussed dilations informally up until this point, I take time to talk about the notion of a scale factoremphasizing that dilations scale lengths while preserving angle measures. If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. Check the angles and corresponding sides: MP1 Make sense of problems and persevere in solving them.

You can also think of similar objects or shapes as scaled versions of each other. If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor. Suppose you want to make a scaled down version of the flag.