3800 - 1 - Page 1
Name: ____________________________________________
1)
The best description of a dilation of a figure is
A) an enlargement or a reduction of the figure
B) a mirror image of the figure
2)
C) a turning of the figure about some fixed point
D) a slide of the figure
The graph of the equation y = 5 intersects the y-axis at the point whose coordinates are
A) (5,5)
B) (0,5)
C) (5,0)
D) (-5,5)
On graph paper, draw the graph of the equation y = x2 - 6x + 8 for all values of x in the interval 0 < x < 6.
On the same set of axes, draw the image of the graph drawn in part (a) after a translation of (x - 3,y + 1) and label it b.
Write the equation of the graph drawn in part (b).
3)
(a)
(b)
(c)
4)
The parabola shown in the diagram is reflected in the x-axis.
What is the image of the turning point after the reflection?
A) (5,2)
5)
B) (-2,-5)
C) (-2,5)
A rotation of a figure can be considered
A) a turning of the figure about some fixed point
B) an enlargement or a reduction of the figure
C) a mirror image of the figure
D) a slide of the figure
D) (2,-5)
3800 - 1 - Page 2
6)
Graph the line y = * x + 3 on a separate coordinate axis.
7)
The line that passes through the points (-2,3) and (5,y) has a slope of . Find y.
8)
If A(2,7) is reflected in the line y = 5, what are the coordinates of A1, the image of A?
9)
The y-intercept of the graph of the equation y = 2x - 3 is
A) -3
10)
B) II
D) 3
C) III
D) IV
What type of symmetry does a square have?
A) point symmetry, only
B) both point and line symmetry
12)
C) 2
In which quadrant does the image of (-4,1) lie after a reflection in the origin?
A) I
11)
B) -2
C) neither line nor point symmetry
D) line symmetry, only
In the accompanying diagram, what type of transformation makes hA1B1C1 the image of hABC?
A) translation
B) rotation centered at the origin
C) dilation
D) reflection in the x-axis
3800 - 1 - Page 3
13)
In the accompanying diagram, what type of transformation makes triangle 2 the image of triangle 1?
A) rotation centered at the origin
B) reflection in the y-axis
14)
If the points (3,5), (4,2) and (5,k) lie on a straight line, what is the value of k?
A) -1
15)
C) translation
D) dilation
B) -2
C) 1
What are the coordinates of the point where the graph of the equation x + 2y = 8 crosses the y-axis?
A) (4,0)
B) (0,8)
C) (0,4)
16)
Line l contains the points (0,3) and (-5,0). Show that the point (35,24) does or does not lie on line l.
17)
Graph the line y = x + 2 on a separate coordinate axis.
18)
If translation T maps point A(-3,1) onto point A1(5,5), what is the translation T?
A) T(8,4)
19)
D) 0
B) T(8,6)
D) (8,0)
C) T(2,4)
D) T(2,6)
C) translation
D) rotation
Under what type of transformation is size not preserved?
A) reflection
B) dilation
3800 - 1 - Page 4
20)
In the accompanying diagram, hA1B1C1 is the image of hABC.
What type of transformation is shown?
A) dilation
21)
C) translation
D) rotation
C)
D)
C) *
D) 2
Which one of the following letters has vertical line symmetry?
A)
22)
B) reflection
B)
What is the slope of the line whose equation is x + 2y = 6?
A) 6
B) 1
23)
If the slope of the line joining the points (2,4) and (5,k) is 2, find the value of k.
24)
Which one of the following figures does not have line symmetry?
25)
A)
C)
B)
D)
Which one of the following letters has only horizontal line symmetry?
A)
B)
C)
D)
3800 - 1 - Page 5
26)
What equation is represented by this graph of line l?
A) y = 4
B) x = y + 4
C) y = x + 4
27)
Graph the line y = -3x - 2 on a separate coordinate axis.
28)
What is an equation of the line that passes through the point (1,4) and has a slope of 3?
A) y = x + 4
B) y = 3x + 4
29)
What is the slope of the line whose equation is y = x + 4?
30)
What is the image of (-2,3) after the transformation T(3,-1)?
31)
What is the y-intercept of the line whose equation is y = 7x + 5?
32)
If the letter
A)
C) y = 3x + 1
D) x = 4
D) y = 3x - 1
is rotated 180 degrees, which of the following is the resulting figure?
B)
C)
D)
3800 - 1 - Page 6
33)
Which one of the following phrases describes the graph of y = -1 on the coordinate plane?
A) a line parallel to the y-axis and 1 unit to the right of it
B) a line parallel to the y-axis and 1 unit to the left of it
34)
Which one of the following letters does not have a line of symmetry?
A)
35)
D) 5
B) (6,0)
C) (4,0)
D) (0,4)
B) (0,0)
C) (2,-1)
D) (-2,1)
B) (3,4)
C) (-3,-4)
D) (3,-4)
B) 4
C) -4
D) -2
Which one of the following letters has both vertical and horizontal line symmetry?
A)
41)
C) 4
What is the slope of the line whose equation is y - 2x = 4?
A) 2
40)
B) 6
The coordinates of the image of P(3,-4) under a reflection in the x-axis are
A) (-3,4)
39)
D)
A translation maps A(1,2) onto A1(-1,3). What are the coordinates of the image of the origin under the same translation?
A) (-1,2)
38)
C)
The graph of the equation 3x + 2y = 12 intersects the y-axis at the point whose coordinates are
A) (0,6)
37)
B)
If the points (3,2) and (x,-5) lie on a line whose slope is * , then x equals
A)
36)
C) a line parallel to the x-axis and 1 unit below it
D) a line parallel to the x-axis and 1 unit above it
B)
C)
D)
Under a dilation with respect to the origin, the image of A(1,2) is A1(5,10). Under the same dilation, what are the coordinates of
B1, the image of B(0,-3)?
3800 - 1 - Page 7
42)
In the accompanying diagram, the faces are congruent.
What type of transformation is illustrated?
A) a reflection in line l
B) a rotation
C) a dilation
D) a translation
43)
Find the slope of the line that passes through points L(4,5) and N(3,-4).
44)
What is the total number of lines of symmetry for the letter
A) 0
B) 1
?
C) 3
D) 2
45)
The line whose equation is y = -3 is reflected in the x-axis. Write an equation of the image of that line.
46)
If a translation maps (x,y) ‚ (x + 2,y + 3), what are the coordinates of B1, the image of point B(-3,5) after this translation?
47)
Under what type of transformation can the image be a different size than the original figure?
A) translation
48)
B) rotation
C) dilation
Given points A(-4,-2), B(16,8), and C(8,4), which one of the following statements is true?
A) A, B, and C are vertices of a triangle.
C) AACB is an acute angle.
B) AB is perpendicular to BC.
D) A, B, and C are collinear.
D) reflection
3800 - 1 - Page 8
49)
Triangle A1B1C1 is the image of hABC under a dilation such that A1B1 = AB. Triangles ABC and A1B1C1 are
A) both congruent and similar
B) neither congruent nor similar
C) congruent but not similar
D) similar but not congruent
50)
Graph the line y = 2x on a separate coordinate axis.
51)
Which one of the following figures always has exactly one line of symmetry?
A) circle
B) rectangle
C) trapezoid
D) isosceles right triangle
52)
Graph the line y = x - 1 on a separate coordinate axis.
53)
In the accompanying diagram, hR1S1T1 is the image of hRST.
What type of transformation is shown in this diagram?
A) reflection
B) rotation
C) dilation
54)
Find the slope of the line whose equation is y = -2x - 4.
55)
Write an equation of the line of reflection which maps A(1,5) onto A1(5,1).
D) translation
3800 - 1 - Page 9
56)
Graph the line y = -3x on a separate coordinate axis.
57)
The points (k,10), (2,7) and (1,4) lie on a straight line. Find k.
58)
Which one of the following graphs represents a line that has a negative slope?
A)
C)
B)
D)
59)
What is the image of (4,-3) after a reflection in the x-axis?
60)
Which of the following is the graph of the equation y = 2?
A)
C)
B)
D)
3800 - 1 - Page 10
61)
Which one of the following statements is true of the graph of the equation x = -4?
A) It has a slope of -4.
B) It is parallel to the y-axis.
C) It has a slope of 1.
D) It is parallel to the x-axis.
62)
Two points whose coordinates are (4,17) and (2,a) determine a line whose slope is 6. Find the value of a.
63)
What type of transformation is represented by the illustration?
A) translation
64)
C) reflection
D) rotation
C) (-2,1)
D) (3,2)
A point on the line whose equation is 3x - 2y = 7 is
A) (1,-2)
65)
B) dilation
B) (0,-3)
A line is represented by the equation y = 3x - 7. Which one of the following statements about the line is true?
A) The slope of the line is .
B) Point (1,4) lies on the line.
C) The y-intercept is -7.
D) This line is parallel to the line whose equation is y = 2x - 7.
66)
Which one of the following shapes has the greatest number of lines of symmetry?
A) parallelogram
67)
B) square
C) rhombus
D) rectangle
Triangle ABC is drawn in Quadrant III. If hABC is reflected in the y-axis, its image will lie in Quadrant
A) I
B) II
C) III
D) IV
3800 - 1 - Page 11
68)
In the accompanying diagram of right triangle ABC with the right angle at C, line l is drawn through C and is parallel to AB.
If hABC is reflected in line l, forming the image hA1B1C1, which one of the following statements is not true?
A) Line l is equidistant from A and A1
B) mAABC = mAA1B1C1
C) C and C1 are the same point.
D) The area of hA1B1C1 is twice the area of hABC.
69)
What are the coordinates of A1, the image of A(2,3) after a reflection in the x-axis?
70)
What is the y-intercept of the line whose equation is 3y = 6x + 12?
A) 4
71)
C) 3
D) 1
The graph of which one of the following equations contains the point (3,1)?
A) 3y = x
72)
B) 2
B) y - 3x = 0
C) y = x
Which one of the following graphs represents the graph of the equation x = 2?
A)
C)
B)
D)
D) y = 3
3800 - 1 - Page 12
73)
Graph the line y = -x on a separate coordinate axis.
74)
Which one of the following statements describes the graph of the equation x = 3?
A) It is parallel to the y-axis.
B) It has a slope of 3.
C) It passes through the origin.
D) It is parallel to the x-axis.
75)
In the diagram below, point A has coordinates (-4,-2) and point B has coordinates (3,7). What is an equation of the line?
76)
A translation maps (1,4) onto (7,-3). Write the image of (5,10) under the same translation.