Bell Ringer The vertices of figure ABCD are A(4,2), B(-1, 0), C(5, 5), and D(1, -3). This figure is translated 3 units to the right and 4 units up.

Slides:

Advertisements

Similar presentations

Lesson 4.2- Transformations on the Coordinate Plane, pg. 197

Advertisements

Adapted from Walch Education Investigating Scale Factors.

Dilations in the Coordinate Plane

Transformations on the Coordinate Plane

Congruence and Transformations

An operation that moves or changes a geometric figure (a preimage) in some way to produce a new figure (an image). Congruence transformations – Changes.

Dilations in the Coordinate Plane

4-4 Geometric Transformations with Matrices Objectives: to represent translations and dilations w/ matrices : to represent reflections and rotations with.

Lesson 2.7 Objective: To complete dilations on a coordinate plane.

CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4.

16 Using Matrices to Transform Geometric Figures Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Dilation OF A POLYGON. A TRANSFORMATION IN WHICH A POLYGON MAINTAINS ITS SHAPE BUT IS ENLARGED OR REDUCED BY A GIVEN FACTOR AROUND A CENTER POINT. AN.

TRANSFORMATIONS. DEFINITION  A TRANSFORMATION is a change in a figure’s position or size.  An Image is the resulting figure of a translation, rotation,

Algebra 4-2 Transformations on the Coordinate Plane

Algebra 4-2 Transformations on the Coordinate Plane

4-3 Warm Up Lesson Presentation Lesson Quiz

Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.

Congruence and Transformations on the coordinate plane

Warm Up – Tuesday, August 19th

Similarity and Transformations

Congruence and Transformations

Algebra 4-2 Transformations on the Coordinate Plane

Congruence and Transformations

8.2.7 Dilations.

7-2 Similarity and transformations

Warm-Up How many lines of symmetry do the figures have? Draw them!

Transformations.

Bell Ringer The vertices of figure ABCD are A(4,2), B(-1, 0), C(5, 5), and D(1, -3). This figure is translated 3 units to the right and 4 units up.

Identify the x coordinate in the following ordered pairs. #1. (3, 4) #2. (-4, 7) #3. (100, 2) #4. (4, 16) Bell Ringer.

What is the missing angle in the following triangles. #1. 17, 60, x #2

Congruence and Transformations

Similarity & Transformations

I can draw dilations in the coordinate plane.

Congruence and Transformations

Name the Ordered Pair for Each Point #1. S #2. H #3. D #4. B

Congruence and Transformations

Algebraic Representations of Dilations

4-4 Geometric Transformations with Matrices

A figure has vertices A(2,2), B(6,4), C(-2,3), and D(-1, 5)

In f(x) = -3x + 2, find each function value. 1. f(9) 2. f(12) 3

What is the missing angle in the following triangles. #1. 17, 60, x #2

Translations Lesson #4 Pg. 39.

Translations Lesson #4 Pg. 39.

Name the Ordered Pair for Each Point #1. S #2. H #3. D #4. B

Classify each angle as obtuse, acute, right, or straight.

In f(x) = -3x + 2, find each function value. 1. f(9) 2. f(12) 3

Algebra 4-2 Transformations on the Coordinate Plane

Bell Ringer Use the Distributive Property to solve #1 and #2.

Bell Ringer What is R’ ? What is S ’ ? What is T ’ ? What is V ’ ?

Congruence and Transformations

Algebra 4-2 Transformations on the Coordinate Plane

Find the measures of the angles in each triangle. #1. #2. #3.

Algebra 4-2 Transformations on the Coordinate Plane

4-3 Warm Up Lesson Presentation Lesson Quiz

Chapter 2: Transformations

Transformations Translation Reflection The FRAME Routine

Bell Ringer Use the Distributive Property to solve #1 and #2.

If f(x) = 4x – 7, find each function value.

A figure has vertices A(2,2), B(6,4), C(-2,3), and D(-1, 5)

Bell Ringer A figure has vertices A(2,2), B(6,4), C(-2,3), and D(-1,5). The image of this figure is a rotation of 90° clockwise. What is A’? What is.

Graphing Points on The Coordinate Plane

Bell Ringer What is R’ ? What is S ’ ? What is T ’ ? What is V ’ ?

Write an equation in slope-intercept form for each line.

Write an equation in slope-intercept form for each line.

If f(x) = 4x – 7, find each function value.

Find the measures of the angles in each triangle. #1. #2. #3.

Transformations on the Coordinate Plane

Presentation transcript:

Bell Ringer The vertices of figure ABCD are A(4,2), B(-1, 0), C(5, 5), and D(1, -3). This figure is translated 3 units to the right and 4 units up. 1. What is A’? 2. What is B’? 3. What is C’? 4. What is D’?

If you Haven’t Turned in Your Butterfly Reflection yet, Then You Need to Turn that in Now. Also, If you have any make-up work, you need to turn that in now as well

Quiz on Friday The quiz on Friday will cover Section 1.4 “Ordered Pairs and Relations” Section 2.6 “Graphing in Four Quadrants” Section 2.7 “Translations and Reflections” Section 6.8 “Dilations”

Section 6.8 Dilations R drive > Key > Week 14 > Wednesday > 6.8 PowerPoint File > Save As > P drive > Math > Week 14 > 6.8 PowerPoint

Vocabulary Dilation – A transformation that enlarges or reduces a figure by a scale factor

Notes When the center of a dilation is the origin, you can find the coordinates of the image by multiplying each coordinate of the figure by the scale factor. Use the notation (x, y) ⇨(kx, ky) to describe the dilation.

Example 1 Dilation in a Coordinate Plane

Example 2 Dilation in a Coordinate Plane A figure has vertices D(-4, 4), E(4, 8), F(8, 8), and G(4, 0). Graph the figure and the image of the polygon after a dilation with a scale factor of ¼.

Example 3 Dilation in a Coordinate Plane A figure has vertices R(-3, 6), S(3, 12), and T(3, 3). Graph the figure and the image of the figure after a dilation with a scale factor of 1/3.

Example 4 Dilations in a Coordinate Plane A triangle has vertices A(1, -2), B(0, 2), and C(-2, -1). Find the coordinates of the triangle after a dilation with a scale factor of 2.

Example 5 Dilations in a Coordinate Plane A figure has vertices X(-3, 6), Y(3, 0), and Z(3, 3). Find the coordinates of the figure after a dilation with a scale factor of 3.

Example 6 Dilations in a Coordinate Plane A triangle has vertices H(-1, -2), I(1, 4), and J(2, 1). Find the coordinates of the triangle after a dilation with a scale factor of 4.

Example 7 Find the Scale Factor

Example 8 Find the Scale Factor

In Summary

Homework Section 6.8 #1-6

Homework Section 6.8 #1-6

Homework Section 6.8 #1-6