+11 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?
Enter your answer as an integer or decimal in the box.
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.
Enter your answers in the boxes.
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.
