Chapter 13
Standardized Test Practice
____
1. For which drawing can you use the given information and the SSS Congruence Theorem to prove that the
triangles are congruent?
a.
____
b.
a reflection over the x-axis
a reflection over the y-axis
a rotation 90 clockwise
a rotation 90 counterclockwise
3. What are the coordinates of each vertex if the figure is rotated
a.
b.
c.
d.
____
d.
2. A triangle has vertices at A (1, 3), B (4, 2), and C (3, 8). Which transformation would produce an image with
vertices
?
a.
b.
c.
d.
____
c.
4. If ∆ABC is rotated 90° counter clockwise find the point C’
(hint C= (-2, -9) Not multiple choice)
counterclockwise about the origin?
____
5. Which set of congruence statements show that
a.
____
b.
6. A triangle has vertices at F
is reflected over the x axis?
by the ASA Congruence
c.
d.
, G (2, 6), and H (3, 5). What are the coordinates of each vertex if the triangle
a.
b.
c.
d.
____
7. What is a triangle congruence statement that applies to this figure?
a.
b.
c.
d.
____
8. A triangle has vertices at
with vertices
a.
b.
c.
d.
____
. Which transformation would produce an image
?
a reflection over the x-axis
a reflection over the y-axis
a rotation
clockwise
a rotation
counterclockwise
9. A triangle has vertices at
is translated 4 units right and 6 units down?
a.
b.
c.
d.
____ 10. Which set of vertices describes a triangle congruent to
a.
b.
c.
d.
. What are the coordinates of each vertex if the triangle
____ 11. What are the coordinates of each vertex if the figure is rotated
clockwise about the origin?
a.
b.
c.
d.
____ 12. The image in this figure was formed by reflecting
describes these triangles?
over the x-axis. What is a congruence statement that
a.
b.
c.
d.
____ 13. What are the coordinates of each vertex if the figure is reflected over the y-axis?
a.
b.
c.
d.
____ 14. Which transformation would produce an image with vertices
a.
b.
c.
d.
a reflection over the x-axis
a reflection over the y-axis
a rotation
clockwise
a rotation
counterclockwise
?
____ 15. Which set of congruence statements show that
a.
b.
c.
____ 16. Which set of congruence statements shows that
a.
by the AAS Congruence Theorem?
d.
by the SAS Congruence Theorem?
b.
c.
d.
____ 17. The image in this figure was formed by rotating
that describes these triangles?
about the origin. What is a congruence statement
a.
b.
c.
d.
____ 18. What are the coordinates of each vertex if the figure is translated 3 units right and 2 units up?
a.
b.
c.
d.
Chapter 14
____
1. Determine the area of the rectangle.
a.
b.
c.
d.
____
2. A square in the coordinate plane has opposite vertices at (0, 0) and (0, 6). What is the area of the square?
a.
b.
c.
d.
____
2 units
3 units
4 units
7 units
110 square units
560 square units
990 square units
1,098 square units
5. Parallelogram ESTA has vertices E(10, 0), S(14, 3), T(6, 9), and A(2, 6). To find its area, Jamal will first find the
equation of the line through point E and perpendicular to ST. What is the equation of this line?
a.
____
, and C(4, 2). What is the height of the triangle?
4. Determine the area of the composite figure.
a.
b.
c.
d.
____
18 square units
24 square units
32 square units
36 square units
3. A triangle has vertices at A(1, 4),
a.
b.
c.
d.
____
10 square units
11 square units
16 square units
44 square units
b.
c.
d.
6. Which of the following would NOT have the effect of doubling the area of this triangle?
a.
b.
c.
d.
____
7. Penny translates a trapezoid so that one of the vertices is at the origin. If the pre-image has a perimeter of 44
units, what is the perimeter of the image?
a.
b.
c.
d.
a.
b.
c.
d.
____
22 units
44 units
88 units
There is not enough information.
8. Regular polygon ABCDE is graphed on the coordinate plane. The polygon has points
What is the perimeter of ABCDE?
a.
b.
c.
d.
____
Translating the vertex at (18, 0) to (36, 0)
Translating the vertex at (4, 14) to (4, 28)
Translating the vertex at (4, 14) to
Translating the vertex at (4, 0) to
and
.
28 units
32 units
40 units
48 units
9. Claire is trying to determine the area of parallelogram DEFG. She draws the perpendicular from vertex F to DE,
and labels the point of intersection P. Determine the area of parallelogram DEFG.
a.
b.
c.
d.
40 square units
48 square units
50 square units
63 square units
____ 10. A triangle on the coordinate plane has points located at A(2, 5), B(5, 9), and C(8, 5). Determine the area of the
triangle.
a.
b.
c.
d.
8 square units
10 square units
12 square units
24 square units
____ 11. Square PINT has vertices N(4, 2) and T(3, 8). What is the area of square PINT?
a. 37 square units
b.
square units
c. 49 square units
d. 70 square units
____ 12. Determine the approximate perimeter of the trapezoid.
a.
b.
c.
d.
40 units
48 units
56 units
62 units
____ 13. Cory translates triangle ABC up 5 units so point B now sits at the origin. Which statement is true regarding the
triangles?
a.
b.
c.
d.
Triangle ABC has the same area as triangle
.
Triangle ABC has double the area as triangle
.
Triangle
has double the perimeter as triangle ABC.
Triangle ABC is not congruent to triangle
.
____ 14. Which statement is NOT true about this polygon?
a. The polygon has a perimeter of 20 units.
b. The polygon has an area of 20 square units.
c. The polygon has 4 congruent angles.
d. The polygon is a regular polygon.
____ 15. The parallelogram is translated so that
is at the origin. What are the coordinates of
?
a.
b. (10, 20)
c. (20, 10)
d. (18, 14)
____ 16. Points A and D of the parallelogram are manipulated so that the area of the parallelogram is doubled. What are
the new coordinates of
and ?
a.
b.
c.
d.
and
and
and
and
____ 17. Determine the area of the trapezoid.
a.
b.
c.
d.
40.88
90.88
100
109
____ 18. Triangle ABC is shown with base AC and height BD. What is the
approximate height of triangle ABC?
a.
b.
c.
d.
3 units
4 units
4.24 units
6.68 units
____ 19. What is the perimeter of the rectangle?
a.
b.
c.
d.
9.75 units
13.5 units
16 units
60 units
____ 20. Determine the perimeter and area of the composite figure.
a.
b.
c.
d.
78 units
90 units
114.75 units
125.5 units