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9-12 Integrated Math 2 Unit 2 Lesson 3

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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Lesson 1 Lesson 2 •Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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Unit 2, Lesson 3

Measuring Dilations

$Course Icon$

Integrated Math 2

Practice

Problem 1

Pentagon \(A’B’C’D’E’\) is the image of pentagon \(ABCDE\) after a dilation centered at \(F\). What is the scale factor of this dilation?

<p>2 Pentagons.</p>

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Problem 2

A polygon has a perimeter of 12 units. It is dilated with a scale factor of \(\frac{3}{4}\). What is the perimeter of its image?

9 units
12 units
16 units
It cannot be determined.

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Problem 3

Triangle \(ABC\) is taken to triangle \(A’B’C’\) by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?

\(\frac{3}{5}\)
\(\frac{13}{17}\)
1
\(\frac{4}{3}\)

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Problem 4

ForLesson 2: Scale of the Solar System

Dilate quadrilateral \(ABCD\) using center \(D\) 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>

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Problem 5

ForLesson 2: Scale of the Solar System

Dilate Figure \(G\) using center \(B\) 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>

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Problem 6

ForLesson 1: Scale Drawings

Polygon \(P\) is a scaled copy of Polygon \(Q\).

<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 \(x\) is 6, what is the scale factor?

\(\frac34\)
\(\frac43\)
3
4

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Problem 7

from an earlier course

Prove that segment \(AD\) is congruent to segment \(BC\).

<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> — \(\overline{AD} \parallel \overline{BC}, \overline{AB} \parallel \overline{DC}, \overline{AE} \cong \overline{EC}\)

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Lesson 3 Resources

Student Materials