M8 Dilations Similarity Slope Recap

Presentation

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Mathematics

•

8th Grade

•

Medium

•

CCSS

HSG.SRT.A.2, 8.EE.B.5, 8.G.A.3

Standards-aligned

Lesley Brantley

Used 40+ times

FREE Resource

13 Slides • 14 Questions

Unit 2 Recap

by Lesley Brantley

Dilations

What are they?

What makes a dilation bigger/smaller?

Scale Factor is 2. What are the coordinates of the image?

A (3,2)

B (-3, -4)

C (0, 3)

Scale Factor is 1/2. What are the coordinates of the image?

A ( 6, 4)

B (-4, 2)

C (0. -2)

Multiple Choice

Choose the correct scale factor:

1/3

1/2

Multiple Choice

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

(5,3), (6,2), (1,-2)

(6,0), (9,-3), (-6,-15)

(2/3,0), (1,-1/3), (-2/3,-5/3)

(-1,-3), (0,-4), (-5,-8)

Multiple Choice

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

(5,3)

(20,12)

(-20,-12)

(-5,-3)

Multiple Choice

What is the scale factor from ABCD to MNOP?

2/3

3/2

Similarity-- occurs as a result of a dilation

Shapes are similar if...

1. The angles are CONGRUENT

2. The side lengths are PROPORTIONAL!!!

Remember-- triangles have 180 degrees.

These triangles are similar because their angles measures are CONGRUENT!!!

Multiple Choice

Are the triangles similar?

Yes

Multiple Choice

Are the triangles similar?

Yes

Multiple Choice

The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰. A similar triangle is created by using a dilation with a scale factor of 2. What are the measures of the angles of this triangle?

53⁰,78⁰, and 49⁰

There is not enough information to answer this question.

106⁰,156⁰, and 98⁰

26.5⁰,39⁰, and 24.5⁰

Finding missing sides of similar shapes

1. Look to see if you can easily identify the scale factor.

2. set up the ratios and cross multiply to solve.

Multiple Choice

Solve for X.

2 ft

3 ft

4 ft

6 ft

Multiple Choice

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

3.75

9.75

Multiple Choice

What is the value of X?

X=4

X=6

X=3

X=2

Slope

How do we find slope?

Slope

vertical

horizontal

Multiple Choice

Find the slope:

3/4

4/3

-3/4

-4/3

Multiple Choice

Find the slope:

3/4

4/3

-3/4

-4/3

Multiple Choice

Find the slope of the line.

1/2

-1/2

-2

Multiple Choice

Find the slope of the line.

1/4

-1/4

-4

Unit 2 Recap

by Lesley Brantley

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