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Warm UP Given that the following two pentagons are similar, find x. x
Objective SWBAT use the AAA, SAS and SSS similarity postulates to decide which triangles are similar and find unknowns.
Homework P. 433 – 434: # 5 – 9, 12 – 19
Congruence vs. Similarity The match of the century! Who will win?
Congruence vs. Similarity Congruence implies that all angles and sides are equal/identical whereas...
Congruence vs. Similarity Similarity implies that only the angles are congruent and the sides are proportional
Congruence vs. Similarity What can be congruent? What can be similar?
Back to Triangles Since we talked about congruent triangles so much, we should mention similar triangles.
Back to Triangles How could triangles be congruent? SSS SAS ASA AAS HL
SSS Similarity Postulate Two triangles are similar if all three pairs of corresponding sides are proportional.
SSS Similarity Postulate A B C D E F
SSS Similarity Postulate ABC ~ EDF
SAS Similarity Postulate Two triangles are similar if two pairs of corresponding sides are proportional and the included angle is congruent
SAS Similarity Postulate A B C D E F
SAS Similarity Postulate ABC ~ FED
AAA Similarity Postulate Two triangles are similar if two pairs of corresponding angles are congruent
AA Similarity Postulate A B C D E F
ABC ~ FED
Example APE ~ DOG. If the perimeter of APE is 12 and the perimeter of DOG is 15 and OG = 6, find the PE.
Conclusion Congruence vs. Similarity AAA~ SAS~ SSS~
Practice 10-2 Answer Example sets 2 and 3. Be sure to include the similarity statement.
GT Geometry 3/2/11 Turn in CW/HW from yesterday by the time the bell rings. Pick up a ditto and complete 1-6.
Triangle Similarity Keystone Geometry. 2 Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding.
Drill Write your homework in your planner Take out your homework Find all angle measures:
Applied Geometry Lesson: 9 – 3 Similar Triangles Objective: Learn to use AA, SSS, and SAS similarity tests for triangles.
Mrs. Rivas Lesson 4-1. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. Yes; corresponding sides and corresponding.
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
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 Objective: Use SSS, SAS, ASA & AAS to prove triangle congruence.
Hypotenuse – Leg Congruence Theorem: HL. Hypotenuse-Leg Theorem (HL) If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and.
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)
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.
6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.
Thursday, January 10, 2013 A B C D H Y P E. Homework Check.
Proving Triangles are Congruent: SSS and SAS Sec 4.3 GOAL: To prove triangles are congruent by using the SSS and SAS Congruence Postulates.
Chapter 9, Section 5 Congruence. To be congruent: –corresponding parts (sides/ angles) have the same measure.
DO NOW!!! Solve for “x”.. Triangle Congruence SSS: Side Side Side If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles.
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.
Blue – 3/9/2015 Gold – 3/10/2015. Last 2 classes, we talked about 3 ways we can determine triangle congruence. CPCTC – All 3 sides and 3 angles of.
Warm Up P NMRB W ∆PRB~ ∆WNM PR = 20 PB =18RB = 22WN =12 Find NM and WM 20/12 = 18/WM = 22/NM WM = 10.8 and NM = 13.2.
Students will apply the SSS & SAS Similarity Theorems to determine similarity in triangles. Why? So you can show that triangles are similar, as seen.
Unit 1 1 CCGPS Analytic Geometry Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Warm Up Check homework answers with each other!. Ch : Congruence and Triangles Students will prove triangles congruent using SSS, SAS, ASA, AAS,
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
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.
7-3 Proving Triangles Similar Objective To use the AA ~ Postulate and the SAS ~ and SSS ~ Theorems To use similarity to find indirect measurements.
Lesson 4-3: SSS, SAS, ASA 1 Lesson 4-3 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Warm Up For both right triangles, find the value of x. x x
Holt Geometry 7-3 Triangle Similarity: AA, SSS, and SAS 7-3 Triangle Similarity: AA, SSS, and SAS Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Warm Up Solve each proportion If ∆QRS ~ ∆XYZ, identify the pairs of congruent angles and write 3 proportions using pairs of corresponding.
Congruent Triangles. Standard 25: Identify interior and exterior angles of a triangle and identify the relationships between them. Standard 26: Utilize.
WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)
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.
4-4 Using Corresponding Parts of Congruent Triangles I can determine whether corresponding parts of triangles are congruent. I can write a two column proof.
Do Now #28:. 5.4 Hypotenuse-Leg (HL) Congruence Theorem Objective: To use the HL Congruence Theorem and summarize congruence postulates and theorems.
8-3 Proving Triangles Similar M11.C B Objectives: 1) To use and apply AA, SAS and SSS similarity statements.
Holt Geometry 4-5 Triangle Congruence: ASA, AAS, and HL Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent.
Triangle Congruence by SSS & SAS Objective: To Determine whether triangles are congruent using SSS and SAS postulate.
Chapter 7 Quiz Review Lessons You need to know: How to write and reduce a ratio How to write and solve a proportion How to write a similarity.
Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.
Proving Triangles Congruent. Angle-Side- Angle (ASA) 1. A D 2. AB DE 3. B E ABC DEF B A C E D F included side.
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.
Triangle Congruence. 3 line segments (dried spaghetti sticks – make three different sizes) Take 3 line segments Make a triangle Mark the vertices Draw.
1 Objectives Prove that two triangles are similar using AA, SAS, and SSS.
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
Triangle Congruence Postulates T.2.G.1 Apply congruence (SSS …) and similarity (AA …) correspondences and properties of figures to find missing parts of.
Methods of Proving Triangles Similar Lesson 8.3. Postulate: If there exists a correspondence between the vertices of two triangles such that the three.
TODAY IN GEOMETRY… REVIEW: SSS, SAS, HL, ASA, AAS WARM UP: PROOF-A-RAMA 1 Learning Goal: 4.6 Use CPCTC to prove congruent parts of a triangle Independent.
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