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The coordinates of the vertices of trapezoid EFGH are E(−8, 8) , F(−4, 12) , G(−4, 0) , and H(−8, 4) . The coordinates of the vertices oftrapezoid E′F′G′H′ are E′(−8, 6) , F′(−5, 9) , G′(−5, 0) , and H′(−8, 3) .

 

Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E′F′G′H′ ?

 

A. Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGHto trapezoid E′F′G′H′ .

 

B. Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.

 

C. Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by dilating it by a factor of 3/4 and then translating it 2 units left, which is a sequence of rigid motions.

 

D. Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions.

razark  Jan 24, 2018
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3+0 Answers

 #1
avatar+82687 
+2

C. Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by dilating it by a factor of 3/4 and then translating it 2 units left, which is a sequence of rigid motions.

 

 

cool cool cool

CPhill  Jan 24, 2018
 #2
avatar+6297 
+3

Wait a minute!!!

 

A. Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′ .

hectictar  Jan 24, 2018
 #3
avatar+82687 
+1

Ah, you are correct, hectictar....I missed the word "congruent '

 

 

 

cool cool cool

CPhill  Jan 24, 2018

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