Measuring Dilations: IM Geo.3.3
1. Geo.3.3 Lesson
1. IM Geo.3.3 Lesson: Measuring Dilations
2. Geo.3.3 Practice
1. IM Geo.3.3 Practice: Measuring Dilations

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Measuring Dilations: IM Geo.3.3

GeoGebra Classroom Activities, Dec 28, 2020

[url=https://im.kendallhunt.com/HS/teachers/2/3/3/preparation.html]“Measuring Dilations”[/url] from IM Geometry © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.

Geo.3.3 Lesson
1. IM Geo.3.3 Lesson: Measuring Dilations
Geo.3.3 Practice
1. IM Geo.3.3 Practice: Measuring Dilations

1.

Geo.3.3 Lesson

1. IM Geo.3.3 Lesson: Measuring Dilations

1.1.

IM Geo.3.3 Lesson: Measuring Dilations

Dilate triangle FGH using center C and a scale factor of 3.

Here is a center of dilation and a triangle.

Measure the sides of triangle [math]EFG[/math] (to the nearest mm).[br]

Your teacher will assign you a scale factor. Predict the relative lengths of the original figure and the image after you dilate by your scale factor.[br]

Dilate triangle EFG using center C and your scale factor.

How does your prediction compare to the image you drew?[br]

Use tracing paper to copy point [math]C[/math], triangle [math]EFG[/math], and your dilation. Label your tracing paper with your scale factor.[br][br]Align your tracing paper with your partner’s. What do you notice?[br]

Here is the triangle FEG.

Dilate triangle [math]FEG[/math] using center [math]C[/math] and scale factor [math]\frac{1}{2}[/math].

Dilate triangle [math]FEG[/math] using center [math]C[/math] and scale factor [math]2[/math].

What scale factors would cause some part of triangle [math]E'F'G'[/math] to intersect some part of triangle [math]EFG[/math]?[br]

Dilate quadrilateral ABCD using center P and your scale factor.

Complete the table.

What do you notice? Can you prove your conjecture?[br]

Complete the table.

What do you notice? Does the same reasoning you just used also prove this conjecture?[br]

2.

Geo.3.3 Practice

1. IM Geo.3.3 Practice: Measuring Dilations

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Measuring Dilations: IM Geo.3.3

Table of Contents

1.

Geo.3.3 Lesson

1.1.

IM Geo.3.3 Lesson: Measuring Dilations

Dilate triangle FGH using center C and a scale factor of 3.

Here is a center of dilation and a triangle.

Dilate triangle EFG using center C and your scale factor.

Here is the triangle FEG.

Dilate quadrilateral ABCD using center P and your scale factor.

Complete the table.

Complete the table.

2.

Geo.3.3 Practice

2.1.

IM Geo.3.3 Practice: Measuring Dilations

Pentagon A'B'C'D'E' is the image of pentagon ABCDE after a dilation centered at F.

A polygon has perimeter 12 units.

Triangle ABC is taken to triangle A'B'C' by a dilation.

Dilate quadrilateral ABCD using center D and scale factor 2.

Dilate Figure G using center B and scale factor 3.

Polygon Q is a scaled copy of Polygon P.

Prove that segment AD is congruent to segment BC.

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