Section Name: Dilations

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Presentation transcript:

Section Name: Dilations Warm Up Name the type of transformation. Is the transformation isometric? Which is the image and which is the pre-image? Is it an enlargement or reduction? Section Name: Dilations

Let practice a little on dilations For the following tell me if it is an enlargement or an reduction, also preform the calculation: M is 6 is dilated where k = 4.5 M’ = enlargement/reduction A is 7 is dilated where k = 1 14 A’ = enlargement/reduction R is 50 is dilated where k = 1 4 R’ = enlargement/reduction C is 30 is dilated where k = 4 3 C’ = enlargement/reduction H is 9 is dilated where k = 8 9 H’ = enlargement/reduction

Skittle Activity You will work with your seated partners to complete this activity. Your will have ten minutes for everyone to complete their four dilations After the timer goes off you will have 1 minutes to tally your individual scores. (all score must be tallied or the entire team is disqualified) Prizes will then be awarded

Warm-Up Given the following coordination’s M( 4, 8) Dilate with a K = 5 M’( ) 2) Dilate with a k = ¼ M’’( )

B D A C

Exit Ticket

Warm Up: You will need a ruler and a colored pencil today Without graphing the given dilation answer the following questions: 1. Would this dilation be an enlargement or a reduction?    2. How do the following areas compare? Area of ABCD= 4 Area of A’B’C’D’=1 3. Find the distance between A’ and B’. Section Name: Identifying Dilations

Given the point and its image, determine the scale factor: A(3,6) A’(9, 18) G’(3,6) G(1.5,3) B(8,6) B’(2,1.5)

State whether the following is an enlargement or reduction and find the scale factor.

State whether the example is an enlargement or reduction Find the scale factor. How do the areas compare?

Exit Ticket Dilate the following triangle using a scale factor of 1/3 and a scale factor of 1.5 J R B O

How does an area of a dilation compare to its scale factor? Warm-Up Think About it Using the ratio of a dilation scale factor of 1:3 and the area ratio of 1:9 How does an area of a dilation compare to its scale factor?

Section Name: Dilations Quiz Warm Up: 1) When K is > 1 will the image an enlargement, reduction, or stays the same? 2) When 0<K<1 will the image an enlargement, reduction, or stays the same? 3) When K = 1 will the image an enlargement, reduction, or stays the same? Section Name: Dilations Quiz

Find the distance between A’ and B’ Warm Up: Find the distance between A’ and B’ A (4, 4), B (8, 12) scale factor of ¾

Given A is the pre-image and B is the image. Is the following dilation a reduction or an enlargement? What is the scale factor? How do the area’s compare?

Warm-Up Quiz Day Name a ll line to MH. Name a line to MH.

Dilate the following triangle using a scale factor of and a scale factor of 5 Give the measure of OJ = 4.5 OR = 2 OB = 7 What are the measures of OJ’ = OR’ = OB’ = J R B O