1. The dashed triangle is the image of the solid triangle.
The center of dilation is (−4, −4).
What is the scale factor used to create the dilation?
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2. What are the coordinates of the midpoint of the line
segment with endpoints R(4, −7) and S(−3, 5)?
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3.
Select from the drop-down menus to correctly complete the sentence.
The rule (x, y)→(x+2, y−4) represents a translation 2 units....and 4 units....
Word Bank: Left Right Up Down
4. What is the equation of a line that is parallel to
−3x+4y=4 and passes through the point (4, 0)?
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5. What is the equation of a line that is perpendicular to
−x+3y=9 and passes through the point (−3, 2)?
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6.
Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C.
What scale factor was used in the dilation?
Responses
A. - 4/3
B. - 3/4
C. 3/4
D. 4/3
7. Complete the coordinate proof of the theorem.
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The coordinates of parallelogram ABCD are A(0, 0), B(a, 0), C(, ), and D(c, b).
The coordinates of the midpoint of AC¯¯¯¯¯ are (,b2).
The coordinates of the midpoint of BD¯¯¯¯¯ are (a+c2, ).
The midpoints of the diagonals have the same coordinates.
Therefore, AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.