# Edgenutiy Work

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question
What is the length of a leg of the pre-image, triangle RST?
16 units
question
Which best explains why all equilateral triangles are similar?
All equilateral triangles can be mapped into each other using dilations
question
We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the
AA similarity theorem
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To prove that the triangles are similar by the SAS similarity theorem, it needs to be SHOWN that
AC/GI, BC/HI
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Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Yes, because both figures are rectangles and all rectangles are similar
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Which value of x would make T V II QS
10
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To prove that △DFE ~ △GFH by the SAS similarity theorem, it can be stated that and
DFE is congruent to GFH
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What are the coordinates of vertex J of the pre-image?
(0, -4)
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Which value of y would make OP II LN?
36
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If CA = 8, what is C'A'?
10 Units
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Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?
because one pair of congruent corresponding angles is sufficient to determine similar triangles
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Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
RS/VU = ST/UT and S congruent U
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If the triangles are similar, which must be true?
RY/RS = RX/RT = XY/TS
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If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?
1
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Is triangle A'B'C' a dilation of triangle ABC? Explain.
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
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What is the perimeter of ΔWXY?
14.50 Cm
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What is the scale factor of the dilation?
4
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What is the length of AC?
18 Ft
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What are the coordinates of the endpoints of the segment T'V'?
T'(-3, 6) and V'(0, 3)
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Which transformations could have occurred to map △ABC to △A"B"C"?
a dilation and a rotation
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Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?
2.4 Units
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To prove that the triangles are similar by the SSS similarity theorem, which other sides or angles should be used? MN and SR