Similar Figures.

Slides:

Advertisements

Similar presentations

Unit 6: Scale Factor and Measurement How will you measure up?

Advertisements

Introduction Recognizing and using congruent and similar shapes can make calculations and design work easier. For instance, in the design at the corner,

I can use proportions to find missing measures in similar figures

Landscape What is the name of the kind of trees in this picture?

SIMILAR FIGURES. Solve for x Similar Figures Similar figures have sides that are proportional. Scale Factor:

Proportions This PowerPoint was made to teach primarily 8th grade students proportions. This was in response to a DLC request (No. 228).

Children have to develop observation skills in order to compare the size of an object with its shadow; Children must realize and understand that objects.

Similar Shapes and Scale Drawings

Scale Drawings & Scale Factor

9.1 Properties of Similar Figures Learning Objective: To use ratios and proportions to find measures of similar figures and use scale models to find dimensions.

Scale Drawings & Scale Models

Similar Triangles and other Polygons

Similar Triangles/Polygons

Find the Perimeter and Area:

Similar Figures (Not exactly the same, but pretty close!)

Evaluating Algebraic Expressions 5-5 Similar Figures Preparation for MG1.2 Construct and read drawings and models made to scale. California Standards.

Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle.

Proportions & Similar Figures

Target: Use proportions to solve problems involving similar figures.

Problems of the Day 1) 2)Challenge: Two triangles are similar. The ratio of the lengths of the corresponding sides is If the length of one side of the.

More Applications of Proportions SIMILAR FIGURES.

Bell Work Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 1. x 30 m 7 m 70 m 3 m 2. 2 mm x 5 mm 27.5.

Using proportions for dimensional analysis and problem solving

Ch. 7 Learning Goal: Ratios & Proportions Learn to find equivalent ratios to create proportions (7-1) Learn to work with rates and ratios (7-2) Learn to.

Proportions. State of the Classes Chapter 4 Test2 nd 9 week average

Similar Figures and Scale Drawings

2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”

These men are concreting solid steel pillars to stop vehicles from parking on the pavement outside a sports bar downtown. They are cleaning up at the end.

I CAN UNDERSTAND RATIOS and PROPORTIONS. In this lesson you will use ratios and proportions in order to draw actual objects onto a paper.

Remember these!? Surface Area of a Prism = ph +2B

Ratio and Proportion Project Each student will create their own 3D cube with each face relating to each of the topics of ratios and proportions using real.

Lesson 8.4 Area of Triangles Pages How do you find the area of a triangle? Draw a triangle on the grid paper. Enclose the triangle in a rectangle.

Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.

Do Now Find the missing sides. 1) 15 5 y ) x – 2 32 y = 7x = 26.

 Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.

8.3 Similar Polygons How to identify similar polygons. How to use similar polygons to solve problems.

Trigonometry: Part 1 Similarity ReviewMenu Last semester, we spent a lot of time with similar shapes. We use the word similar to describe two figures that.

TEST REVIEW Stretching & Shrinking. 1. The ratio of two adjacent side lengths of a rectangle is Which of these could be the ratio of two adjacent side.

Circle the ways that Triangles can be congruent: SSS SAS SSA AAA AAS.

Geometry Chapter 7.  A ratio is a comparison of two quantities  Ratios can be written:  a to b, a:b or a/b  the fractional form is the most common.

Do Now Find the missing sides. y = 7 x = 26 2) 1) x – y

BIG IDEA Percent / / out of 100.

Provided by Dawn Williams WCMS

Learning Targets I can identify similar polygons. I can write similarity statements. I can find missing parts of similar figure.

Similar Polygons.

Perimeters and Areas of Similar Figures

11.6 Perimeters and Areas of Similar Figures

Scale Drawings & Scale Factor by Luther Allen, M.Ed

Using Proportions with Similar Figures

Overlapping Triangles and Proofs

Scale Drawings & Scale Factor by Luther Allen, M.Ed

11.3 Perimeters and Areas of Similar Figures

Face Collage Project For this project, you will be creating a collage of a person’s face. I am most interested on the correct proportions of the facial.

Stretching and Shrinking

Without using a calculator!

Similar Figures.

Similar Triangles Applied

Scale Drawings & Scale Factor

Similar Figures To find an unknown side length in similar figures:

Warm-Up New Seats After you find your seat take a worksheet from the front table and work on the sides with the triangles Take out blue sheet when finished.

Rates, Ratios and Proportions

Similar Figures.

7.2 Ratios and proportions

Scale Drawings & Scale Factor

Proportions This PowerPoint was made to teach primarily 8th grade students proportions. This was in response to a DLC request (No. 228).

Finding Missing Lengths of Similar Figures Guided Notes

Chapter 8 by david.

Rates, Ratios and Proportions

Proportions This PowerPoint was made to teach primarily 8th grade students proportions. This was in response to a DLC request (No. 228).

Using Similar Figures ABC is similar to DEF. Find the value of c. =

Presentation transcript:

Similar Figures

Similar Figures When two figures are “similar figures” they have the same ratio of comparison for each side.

Similar Figures When two figures are “similar figures” they have the same ratio of comparison for each side. To find a missing value set up a proportion.

Similar Figures When two figures are “similar figures” they have the same ratio of comparison for each side. To find a missing value set up a proportion. 10 5 x 6

Similar Figures 20 5 x 16

Similar Figures

Similar Figures

Similar Figures We can use similar figures to find out information in real life. Use a comparison between information you know. Shadows are a great way to use similar figures to calculate heights.

Finding out height: Get a partner. On a piece of paper draw a picture (stick figure) of yourself and then draw your shadow. On the same piece of paper draw a picture of the building and it’s shadow. Next to the picture of you, put your height. We are going to go outside and measure our shadow and then the shadow of the building, after you have done this, write the measurements next to their pictures. Set up a proportion to figure out the height of the building.