Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)

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.

Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.

7-3 Proving Triangles Similar

Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Lesson: 9 – 3 Similar 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

4-2 Triangle Congruence by SSS and SAS. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another.

Drill Write your homework in your planner Take out your homework Find all angle measures:

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)

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

Geometry-Part 7.

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 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

Similarity in Triangles

Featuring ASA and AAS (angle-side-angle and angle-angle-side)

Homework Questions.

Proving Triangles Congruent: SSS and SAS

4-2 Triangle Congruence by SSS and SAS

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

Three ways to prove triangles congruent.

CHAPTER 4: CONGRUENT TRIANGLES

4-2 Triangle Congruence by SSS and SAS

Some 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.

4-2 Some Ways to Prove Triangles Congruent (p. 122)

7-4 and 7-5: Postulates and Theorems for Similar Triangles.

Proving Triangles Similar Related Topic

SSS and, AAS Triangle Congruence Theorems

Use Similar Polygons & AA Postulate

5.3 Proving Triangle Similar

Z Warm Up W U 5 V X Y 6 XYZ 5/

~ ≅ SIMILAR TRIANGLES SIMILAR SAME SHAPE, BUT NOT SAME SIZE CONGRUENT

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.

Lucas Dougherty.

Proving Triangles Congruent

Similar Triangles Panašūs trikampiai.

Lesson Similarity of Triangles

Proving Triangles Similar.

Week 5 Warm Up Add theorem 2.1 here next year.

Warmup Write a congruence statement for the triangles.

Objective We will analyze congruent triangles

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

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.

4-2 Triangle congruence by sss & sas

Module 16: Lesson 4 AA Similarity of Triangles

Presentation transcript:

Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)

There are 3 ways to prove triangles similar: 1) AA Similarity 2) SSS Similarity 3) SAS Similarity

AA Similarity Two triangles are similar if 2 pairs of corresponding angles are congruent.

SSS Similarity Two triangles are similar if 3 pairs of corresponding sides are in proportion to one another.

SAS Similarity Two triangles are similar if 2 pairs of corresponding sides are in proportion and the corresponding angles are congruent, in between the 2 sides.