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

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

Z Warm Up W U 5 V X Y 6 XYZ 6/
6.3 Congruent Triangles: SSS and SAS
8.5 Proving Triangles Similar
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.
7.3 Proving Triangles Similar
7-3 Proving Triangles Similar
8.3: Proving Triangles Similar
7-3 Proving Triangles Similar
Lesson 6-3 Similar Triangles. Ohio Content Standards:
LESSON 8.3: Similar Polygons
Benchmark 37 I can identify two triangles as similar using SSS, SAS, or AA triangle proportionality theorem.
Thursday, January 10, 2013 A B C D H Y P E. Homework Check.
Using Proportions to Solve Geometry Problems Section 6.3.
Sections 8-3/8-5: April 24, Warm-up: (10 mins) Practice Book: Practice 8-2 # 1 – 23 (odd)
Similarity Theorems.
U W VX Z Y XYZ 6/5 or Warm Up.
8-3 Proving Triangles Similar Learning Target: I will be able to prove triangles are similar. Goal 2.03.
Monday, October 22, 2012 Homework: p. 211 #28-34 even.
“Why so serious?”.
Similarity in Triangles Unit 13 Notes Definition of Similarity.
Similar Triangles Similar Triangles – Two triangles are similar if and only if there is a correspondence between their vertices such that their corresponding.
Warm-Up Since they are polygons, what two things must be true about triangles if they are similar?
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
Chapter 8 Lesson 3 Objective: Objective: To apply AA, SAS, and SSS similarity.
Solve the following proportions. a = 9 b = 7 c = 6 d = ±6.
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.
Drill Write your homework in your planner Take out your homework Find all angle measures:
U W VX Z Y XYZ 5/ Warm Up.
Similarity Exploration Use a protractor and a ruler to draw two noncongruent triangles so that each triangle has a 40 0 angle and a 60 0 angle. What can.
 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.
Similarity in Triangles Angle-Angle Similarity Postulate (AA~)- If two angles of one triangle are congruent to two angles of another triangle, then the.
Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed.
WARM UP:. I CAN USE THE AA ~ POSTULATE AND THE SAS ~ AND SS ~ THEOREMS. TO USE SIMILARITY TO FIND INDIRECT MEASUREMENTS Proving Triangles Similar.
Angle-Angle (AA) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.
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.
Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)
Proving Side-Side-Side. Proving Side-Angle-Side Create a 55 ° angle. Its two sides should be 3.5 and 5 inches long. Enclose your angle to make a triangle.
6.2 Similar Triangles or Not?
Prove triangles congruent by ASA and AAS
7.4 Showing Triangles are Similar: SSS and SAS
Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS
Similarity Postulates
7.3 Proving Triangles Similar
5.3 Proving Triangles are congruent:
Z Warm Up W U 5 V X Y 6 XYZ 5/
Proving Triangles Similar
Similar Figures Chapter 5.
7-3 Similar Triangles.
LT 7.4 Prove triangles are similar
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
Proving Triangles Similar.
8.3 Methods of Proving Triangles Similar
Proving Triangles Similar.
Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)
“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
Module 16: Lesson 4 AA Similarity of Triangles
Presentation transcript:

7-3 Proving Triangles Similar

Triangle Similarity Angle-Angle Similarity Postulate: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Side-Angle-Side Similarity Theorem: If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar. Side-Side-Side Similarity Theorem: If the corresponding sides of two triangles are proportional, then the triangles are similar.

Using the AA Similarity Postulate Are the two triangles similar?

 Are the two triangles similar?

Verifying Triangle Similarity Are the triangles similar? Explain. If so, write a similarity statement.

 Are the triangles similar? Explain. If so, write a similarity statement.

Finding Lengths in Similar Triangles You can use indirect measurement to find lengths that are difficult to measure directly. You want to know the height of a cliff, so you place a mirror on the ground and walk backwards until you can see the top of the cliff in the mirror. What is the height of the cliff?