Free Printable Topic 2 Extra Cedit

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Topic 2 Extra Cedit

Total questions: 50

Worksheet time: 3hrs 30mins

Name

Class

Date

Determine where x' would be if you translated x 3 units to the left and 9 units down.

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

Which answer shows a reflection across the x-axis?

What type of rotation does this represent (from red to blue)?

270⁰ clockwise

360⁰

90⁰ counterclockwise

180⁰

How many lines of symmetry does this equilateral triangle have?

Identify the angles of rotation that maps the image to itself.

angle\ of\ rotation=\ \frac{360\degree}{number\ of\ sides}

multiples of 72°

multiples of 180°

multiples of 144°

multiples of 45°

What are the angles of rotation for a square?

multiples of 30

multiples of 45

multiples of 90

multiples of 180

∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?

B'(2, -3)

B'(-2, 3)

B'(-2, -3)

B'(2, 3)

Tell whether the transformation is a dilation. Explain.

No, scale factor isn't the same.

Yes, scale factor is the same.

A scale factor of less than one means

that the prime image will be larger than the pre-image.

That the prime image will be the same as the preimage.

That you need to subtract that amount off of each side.

That the prime image will be a reduction of the preimage.

10.

Which of the following are Dilations?

(x, y) → (x, 3y)

(x, y) → (3x, 3y)

(x, y) → (x, y - 3)

(x, y) → (.5x, .4y)

11.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Translated 5 units down and 5 units to the right

Translated 5 units down and 1 to the right

Translated 8 units down and 5 units to the right

Translated 5 units down and 4 units to the right

12.

How is triangle ABC being translated to triangle A'B'C'?

up 3, left 8

up 9, left 4

down 3, right 8

down 9, right 4

13.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Translated 5 units down and 5 units to the right

Translated 5 units down and 1 to the right

Translated 8 units down and 5 units to the right

Translated 5 units down and 4 units to the right

14.

Reflect the figure across the y-axis. What are the coordinates of A'?

(-2, -4)

(2, 4)

(-2, 4)

(2, -4)

15.

Translations, reflections and rotations are all known as ________________________.

Geometry

Transformations

Congruent

16.

Point K (4, 2) is translated using this rule:

(x, y)----> (x + 3, y - 1)

What are the coordinates of K'?

(6, 3)

(7, 3)

(7, 1)

(5, 3)

17.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

(5,3), (6,2), (1,-2)

(6,0), (9,-3), (-6,-15)

(2/3,0), (1,-1/3), (-2/3,-5/3)

(-1,-3), (0,-4), (-5,-8)

18.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

(-4,-3)

(-4,3)

(4,-3)

(3,4)

19.

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

(x,y)→(y, -x)

(x,y)→(x,y)

(x,y)→(-x,-y)

(x,y)→(-y,x)

20.

Rotate the point (7,8) around the origin 90 degrees counterclockwise.

State the image of the point.

(-7,-8)

(8,-7)

(-8,7)

(8,7)

21.

What is the rule for the following reflection?

Reflection across x-axis

Reflection across y-axis

Reflection across y = x

Reflection across y = −x

22.

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

reduction

enlargement

scale factor

center of dilation

23.

A line that extends from a point in one direction and travels forever is called a ... IMPORTANT

perpendicular line

line segment

ray

parallel line

24.

A(-2, 2) and B(3, 2)
Dilate k = 1

A' (-2, 2), B' (3, 2)

A' (-4, 4), B' (6, 4)

A' (2, -2), B' (-3, -2)

A' (2, -2), B' (2, 3)

25.

A(-2, 2) and B(3, 2)

Reflect over the x-axis

A' (-2, 2), B' (3, 2)

A' (-2, -2), B' (3, -2)

A' (2, -2), B' (-3, -2)

A' (2, -2), B' (2, 3)

26.

ΔA''B''C'' is a glide reflection of ΔABC, as shown in the graph at the right. Which statement represents the glide reflection in this situation?

(x, y) → (x, -y) then (x, y) → (x – 5, y)

(x, y) → (-x, y) then (x, y) → (x + 5, y)

(x, y) → (x + 5, y) then (x, y) → (x, -y)

27.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

a reflection followed by a rotation

a reflection followed by a translation

a translation followed by a rotation

a translation followed by a reflection

28.

Which statement is correct?

Rigid transformations have the same size but different shape.

Rigid transformations have the same shape but different size.

Rigid transformations have different size and shape.

Rigid transformations have the same size and shape.

29.

Use rigid motions to explain why ∆ABC ≅ ∆XYZ.

If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

If ∆ABC is translated, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

If ∆ABC is reflected across the y-axis, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

If ∆ABC is rotated around the origin 90 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

30.

What word matches the definition?

A measurable part of a line consisting of two end points.

Line Segment

Line

Point

Ray

31.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

y=1/6x +25/6

y = 1/6x + 4

y = -6x - 2

y = -6x + 4

32.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

y = 5x - 2

y = -2x + 7

y = 5(x - 2)

y = -1/5x - 2

33.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an x-intercept of -2?

y = 4x - 2

y = 4x + 8

y = 7/2x + 7

y = -1/4x + 1/2

34.

Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?

-2x + 3y = 10

2x + y = 6

3x + 2y = -4

-3x - 2y = 2

35.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

y = 2x + 13

y = 2x + 5

y = -1/2x + 3

y = -1/4x + 11/2

36.

Two lines that are parallel will have ...

Slope that is opposite reciprocals

No slope

Slope that is the same

none of the above

37.

Two lines that are perpendicular lines have ...

Slope that is opposite reciprocals

No Slope

Slope that is the same

none of the above

38.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

$y=-6x+5$

$y=-\frac{1}{6}x-3$

$y=6x+1$

$y=\frac{1}{6}x-3$

39.

Find the equation of the line that has a slope of 3 and passes through (-4, 1).

y = 3x - 11

y = 3x + 13

y = -4x - 13

y = x + 11

40.

What is the slope between these points?
(-3, -1) and (1, -9)

8/3

1/2

-2

-4/9

41.

What is the slope between these points?
(5, 7) and (3, 10)

-3/2

2/3

-2/3

3/2

42.

Find the equation of the line with a slope of 3/4 and passes through (4, -2).

y = 4x - 2

y = 3/4x - 2

y = 3/4x + 1

y = 3/4x - 5

43.

Find the equation of the line that is parallel to the line y = 2x - 1 and passes through the points (4, 6)

y = 2x - 2

y = -1/2x + 8

y = 2x + 8

y = -2x + 2

44.

Find the equation of the line that is perpendicular to the line y = 1/3x - 7 and passes through (1, -1).

y = 1/3x - 1

y = 3x - 4

y = -3x + 2

y = -3x - 1

45.

Find the equation of the line that passes through the points (-2, 3) and (-1, 7)

y = 1/4x + 2

y = -4x - 5

y = 4x + 5

y = 4x + 11

46.

Find the equation of the line that passes through the points (2, -6) and (0, -3)

$y=-\frac{3}{2}x-3$

$y=\frac{3}{2}x+3$

$y=\frac{2}{3}x-6$

$y=-\frac{3}{2}x-6$

47.

Find standard form for the equation $y=\frac{3}{2}x-6$

3x - y = 12

2x - 3y = -12

3x - 2y = 12

3x + 2y = -6

48.

The equation of the following line is

x = 5

x = 3

x = 4

x =7

49.

The equation of the line is :

y = 4

x = 1

y = -1

x = -1

50.

The slope of a line that is perpendicular to the following equation
y = -5x + 7

-5

-1/5

1/5

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Topic 2 Extra Cedit

Total questions: 50

Worksheet time: 3hrs 30mins

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