Module 16: Lesson 4 AA Similarity of Triangles

Slides:



Advertisements
Similar presentations
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.
Advertisements

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.
Lesson: 9 – 3 Similar Triangles
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm up 1.What is the ratio of the corresponding side lengths for two congruent triangles?
(AA, SSS, SAS). AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar.
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
8-3 Proving Triangles Similar M11.C B
Question about homework? Any questions on the homework? (choose random problems)
Drill Write your homework in your planner Take out your homework Find all angle measures:
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.
 There are 3 ways to show two triangles are similar to each other. Those 3 ways are: 1. Angle-Angle Similarity Postulate. (AA~) 2. Side-Angle-Side Similarity.
Angle-Angle (AA) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
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)
 Students will apply the SSS & SAS Similarity Theorems to determine similarity in triangles.  Why? So you can show that triangles are similar, as seen.
Prove triangles congruent by ASA and AAS
4-2 Triangle Congruence by SSS and SAS
Proving Triangles are Congruent
8.3 Methods of Proving Triangles Similar
7.4 Showing Triangles are Similar: SSS and SAS
Proving Triangles Similar
Congruent and Similar Figures
Proving Triangles are Similar
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
Bellwork Determine whether the two triangles are similar
Similarity in Triangles
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.
Objective: To use AA, SAS and SSS similarity statements.
Proving Triangles Congruent: SSS and SAS
Other Methods of Proving Triangles Congruent
Proving Triangles Congruent
Three ways to prove triangles congruent.
4-4 and 4-5: Congruent Triangle Theorems
5.3 Proving Triangle Similar
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.
LT 7.4 Prove triangles are similar
7-4 and 7-5: Postulates and Theorems for Similar Triangles.
Proving Triangles Similar Related Topic
SSS and, AAS Triangle Congruence Theorems
Identifying types and proofs using theorems
5.3 Proving Triangle Similar
Z Warm Up W U 5 V X Y 6 XYZ 5/
Proving Triangles Similar.
8.3 Methods of Proving Triangles Similar
Agenda Investigation 8-3 Proving Triangles are Similar Class Work
APK…..5 minute check.
Get out your Module 4 quiz and
Learn to use the ASA and AAS tests for congruence.
Similar Triangles Panašūs trikampiai.
Proving Triangles Similar.
Week 5 Warm Up Add theorem 2.1 here next year.
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/
Agenda Investigation 8-3 Proving Triangles are Similar Class Work
Jeopardy Final Jeopardy Corr. Sides and Angles Complete The Statement
How can you show that two 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.
7.3 Similar Triangles (~s)
Presentation transcript:

Module 16: Lesson 4 AA Similarity of Triangles Angle-Angle (AA) Triangle Similarity Theorem If 2 angles of one triangle are congruent to 2 angles of another triangle, then the 2 triangles are similar. See example #2 on page 863

Side-Side-Side (SSS) Triangle Similarity Theorem If all 3 sides of one triangle are proportional to all 3 corresponding sides of another triangle, then the 2 triangles are similar. See example #3B on page 865

Side-Angle-Side (SAS) Triangle Similarity Theorem If 2 sides of one triangle are proportional to 2 corresponding sides of another triangle AND the included angles are congruent, then the 2 triangles are similar. See example #3A on page 865

Homework pages 867-871 #’s 1-15, 17-18 (all)