1) STATION #1 – Solve each proportion. Find all solutions. 2) 3) 4) 5)

Slides:



Advertisements
Similar presentations
Concept: Use Similar Polygons
Advertisements

7.4 A Postulate for Similar Triangles. We can prove that 2 triangles are similar by showing that all 3 corresponding angles are congruent, and all 3 sides.
Created by chris markstrum © Proving Quadrilaterals are Parallelograms California State Standards for Geometry 4: Prove basic theorems involving.
White Board Challenge!!!!!!. D E F B C A CB  ED AB  FD CA  EF The two triangles drawn below are not drawn to scale. Determine if the given information.
EXAMPLE 2 Find the scale factor Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor of ZYXW.
Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.
Determining Scale Factor We are learning to…use proportional reasoning to solve for missing side lengths of polygons. Wednesday, August 19, 2015.
Ratios, Proportions, and Similar Triangles. Ratios Ratios are like fractions The ratio 1:4 means 1 part to 4 parts and is equivalent to the fraction (part:part)
Aim: How can we review similar triangle proofs? HW: Worksheet Do Now: Solve the following problem: The length of the sides of a triangle are 9, 15, and.
Similar Triangles Today’s objectives l Understand how the definition of similar polygons applies to triangles. l Recognize similar triangles. l Use the.
Geometry Warm-Up1/13/11 1) In a triangle, the ratio of the measures of three sides is 3:4:5, and the perimeter is 42 feet. Find the measure of the longest.
7.2 Similar Polygons Similar figures – have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~ . Two.
Chapter 7 Similarity and Proportion
7-2 Similar Polygons Objective To identify and apply similar polygons.
1 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Ratios/ Proportions Similar.
6.3 – Use Similar Polygons Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. In.
Geometry 6.3 Big Idea: Use Similar Polygons
Similar Triangles Tutorial 12g.
Unit 6 Part 1 Using Proportions, Similar Polygons, and Ratios.
 Ratio: is the comparison of two numbers by division  Ratio of two numbers can be shown like this; a to b, a:b, or a/b  Proportion: equation that says.
Chapter 7 Quiz Review Lessons
Lesson 5-2: Similar Polygons
Objectives:  To identify congruent polygons and their corresponding parts  To use congruent polygons to determine missing measures.
Geometry Section 8.3 Similar Polygons. In very simple terms, two polygons are similar iff they have exactly the same shape.
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
8.3 Similar Polygons. Similar Polygons Definition : Similar polygons have congruent angles and sides in the same ratio (called Scale factor). Write the.
1 10/16/12 Triangles Unit Similar Polygons. 2 Definition:Two polygons are similar if: 1. Corresponding angles are congruent. 2. Corresponding sides are.
Warm Up Monday March What is the definition of a parallelogram? 2. What do we need to prove if we are trying to prove a parallelogram?
Ms. Drake 7th grade Math Fractions Lesson 44 Similar Figures and Proportions.
7-2 Similar Polygons Objectives Students will be able to:
Warm-Up If ∆QRS  ∆ZYX, identify all 3 pairs of congruent angles and all 3 pairs of congruent sides.
Unit 1 Transformations Day 5.  Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.
Proportions & Similarity Advanced Geometry Similarity Lesson 2.
Chapter 8 Lesson 2 Objective: To identify similar polygons.
 Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.
Hosted by Ms. Williams Properties of Quadrilaterals Properties of Parallelograms Properties of Trapezoids Similar Quadrilaterals.
TODAY IN GEOMETRY…  WARM UP: SRF and Rationalizing the Denominator  Learning Target: 6.3 Use properties of similar polygons to solve proportions.  Independent.
6.3.1 Use similar Polygons Chapter 6: Similarity.
Similar polygons. If two polygons are similar, then their corresponding angles are congruent or have equal measures, and the ratios of their corresponding.
Similar Polygons NOTES 8.1 Goals 1)Use Similarity Statements 2)Find corresponding lengths in similar polygons 3)Find perimeters & areas of similar polygons.
Sec. 6–2 Similar Polygons. Figures that are similar (~) have the same shape but not necessarily the same size. Angles are congruent, Sides are proportional.
6.2 Similar Polygons What you’ll learn: To identify similar figures.
8.3 Similar Polygons How to identify similar polygons. How to use similar polygons to solve problems.
7.2 Similar Polygons Pg 365 Objective: Students will use proportions to identify similar polygons.
Ratios in similar polygons
Objective To identify and apply similar polygons
Bell Work: Solve the proportion 9 = 18 3 d
Learning Targets I can identify similar polygons. I can write similarity statements. I can find missing parts of similar figure.
Similar Polygons.
7-2 Similar Polygons.
Ratios in Similar Polygons
Date: Topic: Similar Polygons (7.4)
Similar figures are figures that have the same shape but not necessarily the same size. The symbol ~ means “is similar to.” 1.
Similar Polygons & Scale Factor
7-3 Similar Triangles.
Similar Polygons & Scale Factor
Use Similar Polygons & AA Postulate
SIMILAR POLYGONS Two figures are similar if
Similar Polygons & Scale Factor
Similar Polygons & Scale Factor
Secondary Math 2 8.3/8.4 – Similarity
Exercise Compare by using >,
6-3/6-4: Proving Triangles Similar
7.2 Similar Polygons Two polygons are similar (~) if and only if their
Similar Figures The Big and Small of it.
Ratios, Proportions and Similarity
8.4 Similar Triangles This can be written from the similarity statement (without even looking at the picture!) In similar polygons, all corresponding angles.
Similar Polygons & Scale Factor
Similar Polygons & Scale Factor
7.2 : Similar Polygons Similar polygons have:
Presentation transcript:

1) STATION #1 – Solve each proportion. Find all solutions. 2) 3) 4) 5)

STATION #2 - Ratios 1) The angles of a triangle have a ratio of 1:3:1. Find the measures of each angle. 2) Four friends win a $30,000 prize, and they decide to split it between them, in a ratio of 8:3:7:2. Find the prize amount given to each friend. 3) Consecutive angles in a parallelogram have a ratio of 11:5. Find the measure of each angle. 4) At your job, you work for 4 weeks, and make a total of $7, About how much could you expect to make in 18 weeks? How much do you make per week?

STATION #3 – The below shapes are similar polygons. Find the scale factor, and then solve for x (and y). 1)2) 3)4) 4 6 x 6 y x 4 y x – x + 1 x x x

27 x + 10 x 18 STATION #4 – Solve for x. 5x – )2) 3)4) 12.5 x 8 10 x x

x STATION #5 – Solve for x. 1)2) 3)4) x 6 8 x x 18 – x

STATION #6 – Determine whether the given triangles are similar. If they are, write the similarity statement, support, and the reason. If they are not, write “not enough information” or “not similar.” A B C D E F H GJ PM N AB C E F D J HG ED ° 36°