'Similarity statement' presentation slideshows

Similar Polygons

Similar Polygons. Section 7-2. Objective. Identify similar polygons. Key Vocabulary. Similar polygons Similarity ratio Scale factor. Theorems. 7.1 Perimeters of Similar Polygons. Similar Triangles. What is Similarity?. Not Similar. Similar. Similar. Not Similar. NOT Similar.

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Chapter 8 Similarity

Chapter 8 Similarity. 232 Geometry BEHS Mrs. Prescott. Ratios. Ratio – a comparison of 2 numbers in the same unit of measure Example: 2 females to 3 males 2 to 3 2:3. Simplifying Ratios. Reduce using common factors as you would simplify any fraction Pages 461-462 12. 16. 22. 26.

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Splash Screen

Splash Screen. Five-Minute Check (over Chapter 7) CCSS Then/Now New Vocabulary Key Concept: Geometric Mean Example 1: Geometric Mean Theorem 8.1 Example 2: Identify Similar Right Triangles Theorems: Right Triangle Geometric Mean Theorems

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7-1 Ratios and Proportions

7-1 Ratios and Proportions. The ratios of the angles in ? ABC is 3:5:7. Find the measure of the angles. Triangle Angle Sum=180?. 36+60+84 = 180 true. The ratios of the angles in quadrilateral is 2:4:6:3 Find the measure of the angles. Quad. Angle Sum=360?. 48+96+144 +72= 360 true.

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7-3

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8-1

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8-1

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6.3 Use Similar Polygons

6.3 Use Similar Polygons. Use proportions to identify similar polygons. Vocabulary. Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. In the diagram, ? RST ~ ?XYZ . a. List all pairs of congruent. angles.

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Similar Triangles 8.3

Similar Triangles 8.3. homework. Identify similar triangles. Learn the definition of AA, SAS, SSS similarity. Use similar triangles to solve problems. homework. homework. homework. Explain why the triangles are similar and write a similarity statement.

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WELCOME

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Chapter 8 Lesson 3

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8-2 Similar Polygons

8-2 Similar Polygons. Two figures that have the same shape but not necessarily the same size are similar (~). 6. 2. Two polygons are similar if 1) corresponding angles are congruent 2) corresponding sides are proportional

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7-3

7-3. Triangle Similarity: AA, SSS, SAS. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Holt Geometry. Warm Up Solve each proportion. 1. 2. 3. 4. If ? QRS ~ ? XYZ , identify the pairs of congruent angles and write 3 proportions using pairs of corresponding sides.

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7-2 Similar Polygons

7-2 Similar Polygons. I CAN Use the definition of similar polygons to determine if two polygons are similar Determine the similarity ratio between two polygons. Create a similar figure using a similarity ratio. Figures that are similar (~) have the same shape

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6.3: Ratio Use Similar Polygons

6.3: Ratio Use Similar Polygons. Objectives: Identify Similar Polygons Apply Properties of Similar Polygons to Solve Problems. Common Core Objectives: G-SRT-2, G-SRT-5 Assessments Define all vocab for this section Do worksheet 6-3.

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Geometric Means and Similarity in Right Triangles

Geometric Means and Similarity in Right Triangles. Warm-ups. Geometric Means. The geometric mean of two numbers is the positive square root of their product. Example 1: Find the geometric mean of 5 and 20 Example 2: Find the geometric mean of 3 and 6. Similarity in Right Triangles.

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8-3 Proving Triangles Similar

8-3 Proving Triangles Similar. One Postulate Two Theorems. Postulate 8-1. Angle-Angle Similarity (AA~) Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Theorem 8-1. Side-Angle-Side Similarity (SAS~) Theorem

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Geometry 6-4 Big Idea: Prove triangles are similar by AA

Geometry 6-4 Big Idea: Prove triangles are similar by AA. Angle-Angle (AA) similarity postulate. If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Example: Show that the two triangles are similar. Write a similarity statement.

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MX AB . Explain why the triangles are similar. Write a similarity statement.

Because MX AB , ? AXM and ? BXK are both right angles, so ? AXM ? BXK. ? A ? B because their measures are equal. AMX ~ BKX by the Angle-Angle Similarity Postulate (AA ~ Postulate). Proving Triangles Similar. LESSON 7-3. Additional Examples.

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Warm Up

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