7-3 Proving Triangles Similar

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

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. 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

LESSON 8.3: Similar Polygons

8-3 Proving Triangles Similar Learning Target: I will be able to prove triangles are similar. Goal 2.03.

“Why so serious?”.

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.

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

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 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.

4-3 Triangle Congruence by ASA and AAS. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

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)

Graph of the Day y = mx + b Rise = Run = m = b = y =

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.

Ratios in similar polygons

Prove triangles congruent by ASA and AAS

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

Similarity in Triangles

7.3 Proving Triangles Similar

Section 8.5 Proving Triangles are Similar

Objective: To use AA, SAS and SSS similarity statements.

5.3 Proving Triangles are congruent:

Other Methods of Proving Triangles Congruent

Are there shortcut postulates or theorems for similarity?

5.3 Proving Triangle Similar

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

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

Proving Triangles Similar Related Topic

Use Similar Polygons & AA Postulate

7.3 Proving Triangles 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

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)

6-3/6-4: Proving Triangles Similar

“Why so serious?”.

(AAS) Angle-Angle-Side Congruence Theorem

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

Agenda Investigation 8-3 Proving Triangles are Similar Class Work

How can you show that two 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.

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  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?