Similarity in Triangles

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.
Honors Geometry Section 8.3 Similarity Postulates and Theorems.
3.4c: Identifying Similar Triangles p AA Similarity If 2 angles in 1 triangle are congruent to 2 angles in a 2 nd triangle, then the 2 triangles.
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Using Proportions to Solve Geometry Problems Section 6.3.
Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.
Lesson: 9 – 3 Similar Triangles
4.3 Triangle Congruence by ASA and AAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.
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.
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
Geometry 6.3 Big Idea: Use Similar Polygons
8-3 Proving Triangles Similar M11.C B
Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.
SIMILARITY: A REVIEW A REVIEW Moody Mathematics. Midsegment: a segment that joins the midpoints of 2 sides of a triangle? Moody Mathematics.
Section 8-3 Similar Triangles GEOMETRY. ENTRY TASK – TWO LEVELS Medium/Difficult F.
Drill Write your homework in your planner Take out your homework Find all angle measures:
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
The product of the means equals the product of the extremes.
Triangle Similarity Keystone Geometry. 2 Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding.
Warm-Up If ∆QRS  ∆ZYX, identify all 3 pairs of congruent angles and all 3 pairs of congruent sides.
Geometry Sections 4.3 & 4.4 SSS / SAS / ASA
Unit 1 Transformations Day 5.  Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.
Date: Topic: Proving Triangles Similar (7.6) Warm-up: Find the similarity ratio, x, and y. The triangles are similar. 6 7 The similarity ratio is: Find.
Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)
 Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.
4-1: Congruent Figures.  Congruent Polygons  Have congruent corresponding parts  Must list corresponding vertices in the same order when naming. Congruent.
Geometry. Congruent polygons have corresponding sides that are congruent and corresponding angles that are congruent.
Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
Prove triangles congruent by ASA and AAS
Geometry-Part 7.
7.4 Showing Triangles are Similar: SSS and SAS
Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS
Similarity Postulates
Take a warm-up from the ChromeBook, calculator, and compass
Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?
Homework Questions.
Date: Topic: Similar Polygons (7.4)
Proving Triangles Similar Same idea as polygons
Z Warm Up W U 5 V X Y 6 XYZ 5/
Proving Triangles Similar
Proving Triangles Similar Same idea as polygons
7-3 Similar Triangles.
Proving Triangles Similar Related Topic
Use Similar Polygons & AA Postulate
Unit 5: Triangles 4-1 Congruent Figures.
Unit 5: Triangles 4-1 Congruent Figures.
Proving Triangles Similar.
8.3 Methods of Proving Triangles Similar
Agenda Investigation 8-3 Proving Triangles are Similar Class Work
SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates.
6.3 AA Similarity Geometry.
Lucas Dougherty.
Learn to use the ASA and AAS tests for congruence.
Similar Triangles Panašūs trikampiai.
Lesson Similarity of Triangles
Proving Triangles Similar.
Warmup Write a congruence statement for the triangles.
Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)
6-3/6-4: Proving Triangles Similar
Z Warm Up W U 5 V X Y 6 XYZ 5/
Jeopardy Final Jeopardy Corr. Sides and Angles Complete The Statement
How can you show that two triangles
Congruent Triangles.
4-4/4-5 Proving Triangles Congruent
Proving Triangles Congruent
SSS SAS AA How do you use corresponding sides and angles to determine the similarity of triangles?
8.3 Methods of Proving Triangles are Similar Advanced Geometry 8.3 Methods of Proving 
  Triangles are Similar Learner Objective: I will use several.
Module 16: Lesson 4 AA Similarity of Triangles
Presentation transcript:

Similarity in Triangles AMSTI Geometry Year 1 Day 4

Counterexamples Revisited Homework #9 Statement 1 If two triangles have their corresponding angles equal, then the triangles are similar. Statement 3 corresponding sides proportional, then the triangles are similar. Day 9 Activity Statement 1 If two polygons have their corresponding angles equal, then the polygons are similar. Statement 2 corresponding sides proportional, True False False True

Homework #10

Are Triangles Similar? Corresponding sides are in proportion. (SSS) Two pairs of congruent triangles. (AA) Two pairs of corresponding congruent angles and the side between them in proportion (ASA)