Agenda Investigation 8-3 Proving Triangles are Similar Class Work

Slides:

Advertisements

Similar presentations

Concept: Use Similar Polygons

Advertisements

Geometry Warm ups.

7.3 Proving Triangles Similar

7-3 Proving Triangles Similar. Triangle Similarity Angle-Angle Similarity Postulate: If two angles of one triangle are congruent to two angles of another.

7-3 Proving Triangles Similar

8.3: Proving Triangles Similar

7-3 Proving Triangles Similar

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

Lesson: 9 – 3 Similar Triangles

Agenda Investigation 8-3 Proving Triangles are Similar Class Work

8-3 Proving Triangles Similar M11.C B

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

WARM UP:. I CAN USE THE AA ~ POSTULATE AND THE SAS ~ AND SS ~ THEOREMS. TO USE SIMILARITY TO FIND INDIRECT MEASUREMENTS Proving Triangles Similar.

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

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)

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

4-2 Triangle Congruence by SSS and SAS

8.3 Methods of Proving Triangles Similar

7.4 Showing Triangles are Similar: SSS and SAS

Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS

Warm up… checkpoint quiz page 429 #’s 1 – 10.

Take a warm-up from the ChromeBook, calculator, and compass

Similarity in Triangles

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

7.3 Proving Triangles Similar

Proving Triangles Similar Same idea as polygons

3.2 Three Ways To Prove Triangles Congruent

7-3 Triangle Similarity: AA, SSS, SAS Warm Up Lesson Presentation

Three ways to prove triangles congruent.

Similarity Theorems.

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

Proving Triangles Similar

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

7.3 Proving Triangles Similar

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

7-3 Proving Triangles Similar

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

Unit 5: Triangles 4-1 Congruent Figures.

Proving Triangles Similar.

8.3 Methods of Proving Triangles Similar

7.3: Similar Triangles Similar triangles have congruent corresponding angles and proportional corresponding sides Z Y A C X B angle A angle X angle.

SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates.

Lucas Dougherty.

Similarity Theorems.

7.2 Two Proof-Oriented Triangle theorems

Similar Triangles Panašūs trikampiai.

Lesson Similarity of Triangles

Review of Triangle Congruence Figures and PROOFS

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

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

“Why so serious?”.

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

Congruent Triangles.

Warm Up 1 ( Write a congruence statement

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.

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Module 16: Lesson 4 AA Similarity of Triangles

Presentation transcript:

Agenda Investigation 8-3 Proving Triangles are Similar Class Work Homework

Warm Up 1. State if the following figures are similar If so, Write the similarity statement. 2. The two triangles are similar. Solve for x.

Homework Check

Investigation: Triangles with Two Pairs of Congruent Angles With a partner, complete the Investigation Worksheet. Answer both questions

8-3 Proving Triangles are Similar 3 ways to prove Triangles are Similar: AA ~ If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar Similarity Statement:

2. SAS ~ If 2 sides of a triangle are proportional to two sides of another triangle AND the included (in between) angles are congruent, then the triangles are similar. Similarity Statement:

3. SSS ~ If all 3 corresponding sides of two triangles are proportional, then the triangles are similar Similarity Statement:

Indirect Measurement using similar triangles often uses one of these two facts: Light reflects off a mirror at the same angles at which it hits the mirror. Similar By:

2. Similar Triangles are formed by figures and their shadows Similar By:

Examples: For each of the following, explain why the triangles are similar and write a similarity statement

Class Work 8-3 Practice in Book Problems 1-9

Homework Complete the worksheet