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Worksheets8A Transformations and Special angles
Total questions: 30
Worksheet time: 2hrs 50mins
Two angles whose sum equals 180° are called...
supplementary angles.
obtuse angles.
complementary angles
a straight line.
The image shows what type of transformation?
Rotation
Translation
Reflection
What kind of transformation is this?
Reflection
Translation
Rotation
Describe the transformation:
(x, y) -> (x+3, y)
Translation 3 units to the left
Translation 3 units up
Translation 3 units to the right
Translation 3 units down
Describe the transformation:
(x, y) -> (x, y-2)
Translation 2 units to the left
Translation 2 units up
Translation 2 units to the right
Translation 2 units down
Describe the transformation:
(x, y) -> (x-2, y+7)
Translation 2 units to the left & 7 units up
Translation 2 units to the left & 7 units down
Translation 2 units to the right & 7 units up
Translation 2 units to the right & 7 units down
If point H(–6, 2) is translated 4 units up and 3 units right, what are the coordinates of the translated image?
(-2, 5)
(-3, 6)
(-9, -2)
(-9, 6)
Point N(6, –5) is reflected across the
x-axis. What are the coordinates of the image?
(-6, -5)
(-5, 6)
(5, -6)
(6, 5)
Suppose triangle RST shown on the
coordinate grid is reflected across the y-axis. Which ordered pair does not represent a vertex of the reflected triangle?
(5, 1)
(-4, -2)
(2, -4)
(-2, 4)
Triangle LMN has vertices L(–1, 4), M(–2, 4), and N(–1, –1). What are the coordinates of the image of point M after a dilation with a scale factor of 3?
(-6, 12)
(-6, 4)
(-2, 12)
(12, -6)
If the figure is rotated 90 degrees clockwise, what are the coordinates of R?
(-3, 3)
(3, -3)
(-3, -3)
(3, 3)
Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?
R'(–5, 1), S'(–1, 1), and T'(–1, –4)
R'(–5, –1), S'(3, –1), and T'(–1, –4)
R'(–1, –1), S'(3, –1), and T'(3, –6)
R'(–5, –1), S'(–1, –1), and T'(–1, –6)
Point A(3, 5) was dilated, and the point after dilation was A’(6, 10). What was the scale factor used?
1/2
2
1
3
What scale factor was used for the dilation shown?
1/2
1
2
3
The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?
(-3, 4)
(3, -4)
(-3, -4)
(3, 4)
(x-2, y+9)
Angle 6 and Angle 7 are examples of which type of angle pair?
Alternate exterior angles
Alternate interior angles
Vertical angles
Corresponding angles
Which of the following angles would NOT be congruent to the measure of ∠7 ?
∠2
∠3
∠6
∠8
Find the value of x if the m∠3 = −4x+5° and the m∠5 = −13x+39° .
-3.8
3.8
-8
8
Find the value of x if the m∠1 = 12x+19° and the m∠2 = 22x−9° .
-2.8
2.8
-5
5
If the m∠1 = 57°, find the measure of ∠6.
123°
57°
180°
Cannot be determined
If the m∠5 = 63°, find the measure of ∠3.
63°
117°
180°
Cannot be determined
Find the value of x and y.
x = 20 and y = 94
x = 67 and y = 40
x =117 and y = 63
