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High school geometry

Course: High school geometry > Unit 2

Lesson 2: Dilation preserved properties
Math
High school geometry
Transformation properties and proofs
Dilation preserved properties
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Dilations and properties

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Problem

Triangle triangle, A, prime, B, prime, C, prime is the result of dilating triangle, A, B, C about point P by a scale factor of start fraction, 1, divided by, 4, end fraction.
The first quadrant of a coordinate plane. The x- and y-axes both scale by one. The Triangle A B C has point A at two, two, point B at eight, six, and Point C at six, ten. A point P is at ten, ten.
Determine whether each claim about the properties of triangle, A, B, C and triangle, A, prime, B, prime, C, prime is true or false.
The lengths of start overline, A, B, end overline and start overline, A, prime, B, prime, end overline are equal.
The measures of angle, C and angle, C, prime are equal.
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