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General Information

Related Standards: MAFS.912.G-SRT.1.1
Reporting Category: Geometry: Similarity, Right Triangles, & Trigonometry
Type: MS: Multiselect
Difficulty: N/A
Question:

Quadrilateral MATH is shown.

Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1,1) to create quadrilateral M'A'T'H'. Select all the statements that are true about the dilation.

Answer Options:

A. begin mathsize 12px style stack M A with bar on top space approximately equal to stack M apostrophe A apostrophe with bar on top end style

B. begin mathsize 12px style stack A apostrophe T apostrophe with bar on top end style will overlap begin mathsize 12px style stack A T with bar on top end style

C. begin mathsize 12px style stack M apostrophe A apostrophe with bar on top end style will overlap begin mathsize 12px style stack M A with bar on top end style

D. The slope of begin mathsize 12px style stack H T with bar on top end style is equal to the slope of begin mathsize 12px style stack H apostrophe T apostrophe with bar on top end style

E. The area of M'A'T'H' is equal to 2.5 times the area of MATH.

Answer Key:
B,C,D

Aligned Standards

Code Description
MAFS.912.G-SRT.1.1: Verify experimentally the properties of dilations given by a center and a scale factor:
  1. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
  2. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.


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