9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically...

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Similarity in Shapes 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Transcript of 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically...

Page 1: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Similarity in Shapes

9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Page 2: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Lesson Objective: IWBAT to recognize

similar figures.

Similarity: 1. Corresponding Angles are

congruent 2. Corresponding sides have a

common ratio.

Guiding Question: What does it mean for 2 things to be

similar?

Page 3: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Guiding Question: What does it mean for 2 things to be similar?

Similarity = same shape but different sizes

The common ratio between the top rectangle and the bottom rectangle would be 2 because

The scale factor would then be ½ .

Similar Rectangles have a common ratio between sides

Page 4: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Guiding Question: What does it mean for 2 things to be similar?

Scale Factor- the number you multiply sides by to get from one shape to the other.

What would the scale factor here be?

Page 5: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Guiding Question: What does it mean for 2 things to be similar?

Every equilateral triangle is similar to every other equilateral triangle.

You are guaranteed to have a common ratio and corresponding angles are congruent.

Page 6: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Guiding Question: What does it mean for 2 things to be similar?

Are both the rectangle and the pentagon similar?

Page 7: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Guiding Question: What does it mean for 2 things to be similar?

Page 8: 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

Assignment: Similarity Packet (Skip

geometric mean question)

Guiding Question: What does it mean for 2 things to be similar?


Triangles. Classifying Triangles by Sides ScaleneNo sides congruent Isosceles2 sides congruent EquilateralAll 3 sides congruent.

Triangles. Classifying Triangles by Sides ScaleneNo sides congruent Isosceles2 sides congruent EquilateralAll 3 sides congruent.

Agents that Reason Logically

Agents that Reason Logically

Families of Congruent and Non-congruent Numbers

Families of Congruent and Non-congruent Numbers

4-1 Congruent Figures - Wikispacesresources+KEY.pdf · Congruent polygons have congruent corresponding parts—their matching sides and angles. When you name congruent polygons, you

4-1 Congruent Figures - Wikispacesresources+KEY.pdf · Congruent polygons have congruent corresponding parts—their matching sides and angles. When you name congruent polygons, you

 · Are the diagonals congruent? Justify your answer. 2. Do the diagonals bisect each other? Justiíÿ your answer. yes I Find x. Assume that any segment that appears to be tangent

 · Are the diagonals congruent? Justify your answer. 2. Do the diagonals bisect each other? Justiíÿ your answer. yes I Find x. Assume that any segment that appears to be tangent

Congruent and similar shapes Congruent shapes Similar shapes.

Congruent and similar shapes Congruent shapes Similar shapes.

7-2 Review Conditions are given. Will all triangles satisfying the same conditions be congruent? Use one of the four theorems to justify your answer. 1.

7-2 Review Conditions are given. Will all triangles satisfying the same conditions be congruent? Use one of the four theorems to justify your answer. 1.

Web viewCorresponding parts of congruent triangles are congruent. 4) Alternate interior angles in congruent triangles are congruent. ... isosceles. 4) equilateral. 9

Web viewCorresponding parts of congruent triangles are congruent. 4) Alternate interior angles in congruent triangles are congruent. ... isosceles. 4) equilateral. 9

be the width of the copy. - Brewton City Schools / … whether each quadrilateral is a parallelogram. Justify your answer. 62/87,21 From the figure, all 4 angles are congruent. Since

be the width of the copy. - Brewton City Schools / … whether each quadrilateral is a parallelogram. Justify your answer. 62/87,21 From the figure, all 4 angles are congruent. Since

11-1 Lines that Intersect Circles · angles have congruent chords. (2) Congruent chords have congruent arcs. (3) Congruent arcs have congruent central angles. Theorem 11-2-3 In a

11-1 Lines that Intersect Circles · angles have congruent chords. (2) Congruent chords have congruent arcs. (3) Congruent arcs have congruent central angles. Theorem 11-2-3 In a

Congruent Triangles - HILLGROVE HIGH SCHOOL · Web viewMore Practice with Proving Triangles Congruent Determine whether the triangles are congruent. If they are congruent fill in

Congruent Triangles - HILLGROVE HIGH SCHOOL · Web viewMore Practice with Proving Triangles Congruent Determine whether the triangles are congruent. If they are congruent fill in

5 Congruent Triangles - Big Ideas · PDF file5.2 Congruent Polygons ... no congruent sides at least 2 congruent sides 3 congruent sides ... 238 Chapter 5 Congruent Triangles

5 Congruent Triangles - Big Ideas · PDF file5.2 Congruent Polygons ... no congruent sides at least 2 congruent sides 3 congruent sides ... 238 Chapter 5 Congruent Triangles

CHAPTER 4- PART 2 Congruent Triangles. CPCTC (4-4) Definition of Congruent Triangles Corresponding Parts of Congruent Triangles are Congruent.

CHAPTER 4- PART 2 Congruent Triangles. CPCTC (4-4) Definition of Congruent Triangles Corresponding Parts of Congruent Triangles are Congruent.

LOGICALLY DETERMINED DESIGN

LOGICALLY DETERMINED DESIGN

PRESENTING THE LOGICALLY ADVANCED

PRESENTING THE LOGICALLY ADVANCED

Unit 6 - Congruent Triangles Congruent Triangles …content.njctl.org/courses/math/geometry-2015-16/... ·  · 2015-10-02Unit 6 - Congruent Triangles Congruent Triangles ... 3. 4.

Unit 6 - Congruent Triangles Congruent Triangles …content.njctl.org/courses/math/geometry-2015-16/... ·  · 2015-10-02Unit 6 - Congruent Triangles Congruent Triangles ... 3. 4.

F2.PC - Proving with Triangle Congruence Progress Check (F1-F2) · 2. State the postulate, if any that show the two triangles below are congruent. If we can justify they are congruent

F2.PC - Proving with Triangle Congruence Progress Check (F1-F2) · 2. State the postulate, if any that show the two triangles below are congruent. If we can justify they are congruent

Page 1 Page 2srochester.weebly.com/.../0/6/...congruent_figures.pdf · Congruent Figures EFGII Congruent Figures: Congruent polygons have congruent corresponding parts (matching sides

Page 1 Page 2srochester.weebly.com/.../0/6/...congruent_figures.pdf · Congruent Figures EFGII Congruent Figures: Congruent polygons have congruent corresponding parts (matching sides

Mrs. Rivas Lesson 4-1. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. Yes; corresponding sides and corresponding.

Mrs. Rivas Lesson 4-1. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. Yes; corresponding sides and corresponding.

CONGRUENT TRIANGLES First, let’s start with congruent polygons (general). What makes two polygons congruent? ALL of the parts of one polygon are congruent.

CONGRUENT TRIANGLES First, let’s start with congruent polygons (general). What makes two polygons congruent? ALL of the parts of one polygon are congruent.