HG U4D2 Executing Dilations Sept19 - Ali Yasseri | Library

Vocabulary:

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How is a dilation different from a reflection, rotation, and translation?

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What does it mean for two figures to be similar?

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How do you determine if a dilation is an enlargement or reduction?

Compare Figure 1 to each of the other figures and answer the following questions.

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Which figures are similar to figure 1?

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Use the definition of similar figures to justify your response.

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How do the coordinates of Figure 2 compare to the coordinates of Figure 1?

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How do the coordinates of Figure 4 compare to the coordinates of Figure 1?

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Is having the same angle measurement enough to make two figures similar? Why or why not?

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Match the diagrams below with the best name or phrase that describes the angles.

Draggable item		Corresponding Item
		Vertical Angles
		Same Side Interior Angles or Consecutive Interior Angles
		Triangle Sum Theorem
		Complementary Angles
		Linear Pair
		Alternate Interior Angles

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Pentagon A'B'C'D'E' is the image of pentagon ABCDE after a dilation centered at F.
What is the scale factor?
The scale factor to dilate pentagon ABCDE to pentagon A'B'C'D'E' is _______. 

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A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3. What is the perimeter of its image?
_______ units

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Another polygon has a perimeter of 12 units. It is dilated with a scale factor of 3/4. What is the perimeter of its image?
_______ units

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Triangle ABC is taken to triangle A'B'C' by dilation. Which of these scale factors for the dilation would result in an image that was LARGER than the original figure?

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Are these rectangles similar?

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Explain how you know.

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How can we prove the two triangles are similar?

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How could you justify the statement?
Triangle P'Q'R' is congruent to triangle STU.
Angle Q' is congruent to _______.
Segment Q'R' is congruent to segment _______.
Angle R' is congruent to _______. 
Therefore, triangle P'Q'R' is congruent to triangle STU by _______ .

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How could you justify the statement?
Triangle PQR is similar to triangle STU.
Angle Q is congruent to _______.
Angle R is congruent to _______. 
Therefore, triangle PQR is similar to triangle _______  by _______  .

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Explain how you know the triangles are similar.

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If the small triangle increased in size to become the larger one, what is the scale factor?
Scale factor = _______ 

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Use the scale factor to find the value of x and y.
x = _______ 
y = _______ 

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Solve the proportion.
x = _______ 

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Solve the proportion.
x = _______ 

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Solve the proportion.
c = _______ 

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Solve the proportion.
a = _______ 

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Solve for b.
b = _______ 