Unit 1: Transformations and Geometric Figures

Other

100

Question 2: How many of each geometric figure is shown below?

D. 6 points, 4 rays, and 2 line segments.

200

Question 3: Looking at the figure shown below, which two sides are parallel to each other?

B.

300

Question 13: The following rule is provided: (x,y)->(x,[1/2]y). What is the resulting transformation?

C. The original object is shrunk vertically.

400

Question 4: Name the angle that is marked in the figure shown below.

B.

500

Question 1: Which statement is NOT true about perpendicular lines?

B. Two lines that have the same slope.

Translations

100

Question 11: A polygon is transformed according to the rule (x,y)->(x, y-4). Every point of the polygon moves four units in which direction?

D. Down

200

Question 25: What is the difference between dilation and translation?

A. Dilation = larger/smaller; Translation = slides to another position.

300

Question 12: If (x,y) is (2,3), which point represents the translation (x,y)->(x+2,y-4)?

B (4,-1)

400

Question 16: Describe the following translation from ABC to A'B'C'.

C. (x,y) to (x+6,y-2)

500

Question 20: Suppose RSTV is transformed so that T' is (4,2). Write a general rule that describes the transformation.

A. (x,y)->(x-3,y-4)

Reflections

100

Question 8: The right figure is a transformation of the left figure. Tell whether their orientations are the same or opposite. Then classify the transformation.

B. Opposite orientation, reflection.

200

Question 7: Write a rule to describe the transformation that is a reflection over the x-axis.

A. (x,y)->(x,-y)

300

Question 18: Use the graph below to complete the sentence. Figure C'D'E' is the image of figure CDE under a...

D. Reflection over y-axis

400

Question 19: The following chart shows the coordinates for quadrilateral and its image. Which single transformation was performed?

B. Quadrilateral is reflected across the x-axis.

500

Question 24: Graph the reflection of WXYZ across the x-axis.

C.

Reflections and Compositions

100

Question 15: A transformation of a polygon that does not preserve orientation is...

D. Reflection

200

Question 5: the vertices of a quadrilateral are G(-4,3), O(2,3), A(2,-4), T(-4,-4). Name the vertices of the image reflected over the y-axis.

C. G(4,3), O(-2,3), A(-2,-4), T(4,-4)

300

Question 21: In each figure m||n. Determine whether the 3rd image is a rotation of the 1st image. Write yes or no. Explain.

A. No, it is a reflection followed by a reflection.

400

Question 22: Which sequence of transformations maps C(-3,4), A(-4,1), T(-2,1) to C''(2,-1), A''(3,-4), T''(1,-4)?

A. Translate 1 unit right and 5 units down, then reflect across the y-axis.

500

Question 14: Find the image of A(1,3) after two reflections. First over the line y=2, and then over the line x=2.

D. A(3,1)

Dilations or Rotations

100

Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)

What is L'(6,-1), M'(12,0), N'(9,5)?

200

raph rectangle DEFG after a reflection over the line y=x. D(5,5) E(5,8) F(8,8) G(8,5)

What is D'(5,5), E'(8,5), F'(8,8), G'(5,8)?

300

Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)

What is J(-5,-6), L(-7,-9), L(-1,-2)?

400

Graph ∆DEF after a dilation with a scale factor of 0.5. D(2,8) E(2,2) F(6,2)

What is D'(1,4), E'(1,1), F'(3,1)?

500

Describe the translation for this notation: (x,y) --> (x + 8, y + 4)

What is a translation of 8 units to the right and 4 units up?