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

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.

4-4 & 4-5: Tests for Congruent Triangles

Test For Congruent Triangles. Test 1 3 cm 4 cm 3 cm Given three sides : SSS Two triangles are congruent if the three sides of one triangle are equal to.

7-4A Similar Figures and Proportions Learning Objective: To determine whether two given figures are similar, and to use similarity to find missing lengths.

Similarity in Triangles. Similar Definition: In mathematics, polygons are similar if their corresponding (matching) angles are congruent (equal in measure)

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.

7-3 Proving Triangles Similar

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

Similar Triangles Section 6-3. AA Similarity If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar.

Thursday, January 10, 2013 A B C D H Y P E. Homework Check.

Lesson: 9 – 3 Similar Triangles

Objective: After studying this section, you will be able to use several methods to prove triangles are similar. 8.3 Methods of Proving Triangles Similar.

Triangles and Lines – Congruent Triangles Congruent triangles are triangles that share equal corresponding parts.

(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

SIMILARITY: A REVIEW A REVIEW Moody Mathematics. Midsegment: a segment that joins the midpoints of 2 sides of a triangle? Moody Mathematics.

Question about homework? Any questions on the homework? (choose random problems)

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.

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.

U W VX Z Y XYZ 5/ Warm Up.

The product of the means equals the product of the extremes.

 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.

Proving Triangles Similar by AA , SAS, & SSS

Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.

Warm Up Solve each proportion If ∆QRS ~ ∆XYZ, identify the pairs of congruent angles and write 3 proportions using pairs of corresponding.

Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.

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)

Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.

CONGRUENT TRIANGLES. Congruence We know… Two SEGMENTS are congruent if they’re the same length. Two ANGLES are congruent if they have the same measure.

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

8.3 Methods of Proving Triangles Similar

7.4 Showing Triangles are Similar: SSS and SAS

Proving Triangles Similar

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

Homework Questions.

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.

Similarity, Congruence, & Proofs

Proving Triangles Similar Related Topic

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

Similar Figures.

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)

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

Proving Triangles Congruent

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:

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

Homework

Find all missing side lengths and angle measures:

Proving Triangles Similar SAS: If an angle of a triangle is congruent to an angle in another triangle and the lengths of the sides including this angle are proportional, then the two triangles are similar.

Proving Triangles Similar SSS: If the corresponding sides of two triangles are proportional, then the two triangles are similar.

Proving Triangles Similar AA (also AAA): If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.

Prove the triangles similar: