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

If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. Similar Polygons and Triangle Similarity Shortcuts. Explore the Polygons in GSP. You can also think of similar objects or shapes as scaled versions of each other. Use similar polygons to solve problems.

Midterm Exam Review Unit 7: Applications Using Similar Polygons: If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor. Recall that a polygon is a closed shape consisting of a finite number of line segments that do not cross each other. Make sure that all of your units are the same in the ratios that you set up. Check the angles and corresponding sides: Use any of the three methods we have just discussed.

Use similar polygons to solve problems.

Solving Problems with Similar Prooblem Given that two polygons are similar, there is a scale factor between the corresponding sides of the polygons, call the scale factor, k. Applications Using Similar Polygons: Solve and Prove Similar Polygons 50 minutes. All the angles in a rectangle are congruent to each other and now check that the sides are proportional to each other.

# Ninth grade Lesson Similarity Problem Solving and Proofs

Use any of the three methods we have just discussed. You can also think of similar objects or shapes as scaled versions of each other. In our notes, we differentiate between similar and congruent figures, using the polyvons of transformations to ground our discussion. When two shapes have the same shape but different sizes, we call the shapes similar.

Use any of the three methods we have just discussed. Click here to measure the side IK.

Since we have only discussed dilations informally up until this point, I take time to talk about the notion of a scale ratipsemphasizing that dilations scale lengths while preserving angle measures. Then they need to justify how they know before solving for mone of the side lengths. Similar Polygons and Triangle Similarity Shortcuts 10 minutes. We can use the relationship between two of the corresponding sides, to find the rest of the corresponding sides.

Explore the Polygons in GSP. Triangle Similarity and Trigonometric Ratios Unit Geometric Measurement and Dimension Unit If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor.

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

Now we will use the relationship between the sides of one polygon to find the lengths of the sides of the other polygons. Set up a proportion to find the missing side length. Polygons whose corresponding angles are congruent and whose corresponding sides are proportional are called similar polygons. Are the triangles similar?

Recall that two shapes are congruent if they have polyglns same shape and size.

Make sure that all of your units are polygoms same in the ratios that you set up. The Soda Can Task: Discovering and Proving Angle Relationships Unit 5: When groups of four have finished comparing their work, they may call me over to check their work against an answer key:.

## Similarity Problem Solving and Proofs

Like most warm-ups, Answesr 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.

Recall that two shapes are congruent if they have the same shape and size. A large flag flown in front of a school is 4ft. Explore these similar polygons in GSP see if the theorem holds: Use similar polygons to solve problems. 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.

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