Unit 3, Lesson 3

Measuring Dilations

Geometry

Practice

Problem 1

Pentagon is the image of pentagon after a dilation centered at . What is the scale factor of this dilation?

Practice

Problem 2

A polygon has a perimeter of 12 units. It is dilated with a scale factor of . What is the perimeter of its image?

9 units
12 units
16 units
It cannot be determined.

Problem 3

Triangle is taken to triangle by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?

Problem 4

ForLesson 2: Scale of the Solar System

Dilate quadrilateral using center and scale factor 2.

<p>Quadrilateral A B C D on isometric grid. Side A B is 2 diagonal units long, side B C is 2 diagonal units long, and side C D is 3 diagonal units long.</p>

Problem 5

ForLesson 2: Scale of the Solar System

Dilate Figure using center and scale factor 3.

<p>Figure G has almost half of the top of a circle with three points The endpoints are connected to another point below the half circle. Point B is to the left of figure G.</p>

Problem 6

ForLesson 1: Scale Drawings

Polygon is a scaled copy of Polygon .

<p>2 4-sided polygons, P and Q. 1 side in polygon P is 4 and its corresponding side in Q is 3. Another side in polygon P is x, and its corresponding side in Q is y.</p>

The value of is 6, what is the scale factor?

Problem 7

ForLesson 10: Practicing Proofs

Prove that segment is congruent to segment .

<p>Quadrilateral A B C D, with point E in the middle. Diagonals D B and A C drawn through E. Opposite sides are marked with arrows in the middle. Segments A E and E C have 1 tick mark.</p>

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Measuring Dilations

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7