ScienceMathAlgebraEdgenutiy Work
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Edgenutiy Work

Finnian Jackson avatar Finnian Jackson
8 September 2022
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25 test answers

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question
What is the length of a leg of the pre-image, triangle RST?
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16 units
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Which best explains why all equilateral triangles are similar?
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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
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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
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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?
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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
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10
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To prove that â–³DFE ~ â–³GFH by the SAS similarity theorem, it can be stated that and
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DFE is congruent to GFH
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What are the coordinates of vertex J of the pre-image?
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(0, -4)
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Which value of y would make OP II LN?
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36
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If CA = 8, what is C'A'?
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10 Units
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Why is the information in the diagram enough to determine that â–³LMN ~ â–³PON using a rotation about point N and a dilation?
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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?
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RS/VU = ST/UT and S congruent U
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If the triangles are similar, which must be true?
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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?
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1
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Is triangle A'B'C' a dilation of triangle ABC? Explain.
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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?
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14.50 Cm
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What is the scale factor of the dilation?
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4
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What is the length of AC?
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18 Ft
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What are the coordinates of the endpoints of the segment T'V'?
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T'(-3, 6) and V'(0, 3)
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Which transformations could have occurred to map â–³ABC to â–³A"B"C"?
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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?
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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
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MN and QR
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ΔRST was _____________, then dilated, to create ΔZXY.
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translated
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What is the perimeter of AEB?
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18.5 ft
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To prove that the triangles are similar by the SAS similarity theorem, it needs to be PROVEN that
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I measures 60