AnswersOR-Integrated Mathematics I BUnit Test

Unit Test — Unit test Answers

0 verified answers
1
Free Preview

Triangle PQR has vertices , , and . It is translated according to the rule .What is the y-value of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
Free Preview

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

Question illustration
A
45º
B
90º
C
180º
D
270º
3

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).

Question illustration
A
(4, 2)
B
(2, 4)
C
(–4, –2)
D
(–2, –4)
4

The function rule T–4, 6(x, y) could be used to describe which translation?

A
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
B
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
C
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
D
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
5

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
6

On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant.

Question illustration
A
figure A
B
figure B
C
figure C
D
figure D
7

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?

A
14°
B
21°
C
35°
D
42°
8

A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal.

Question illustration
A
60°
B
90°
C
120°
D
180°
9

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
10

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

Question illustration
A
(–1, –3)
B
(3, –1)
C
(1, 3)
D
(–3, 1)
11

On a coordinate plane, a square and a point are shown. The square has points R prime (negative 8, 1), S prime (negative 4, 1), T prime (negative 4, negative 3), and U prime (negative 8, negative 3). Point S is at (3, negative 5).

Question illustration
A
(–5, –3)
B
(3, –3)
C
(–1, –6)
D
(4, –9)
12

Right triangle LMN has vertices L(7, –3), M(7, –8), andN(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

A
(x, y) → (x + 6, y – 5)
B
(x, y) → (x – 6, y + 5)
C
(x, y) → (x + 8, y – 11)
D
(x, y) → (x – 8, y + 11)
13

A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1), P'(–3, 1), and Q'(–3, 4). What is the location of Q?

A
(–4, –3)
B
(–3, –4)
C
(3, 4)
D
(4, 3)
14

Triangle ABC is rotated to create the image A'B'C'.

Question illustration
A
(x, y) → (x, –y)
B
(x, y) → (y, x)
C
(x, y) → (–x, –y)
D
(x, y) → (–y, –x)
15

Which statements are true about the reflectional symmetry of a regular heptagon? Select two options.

A
It has only 1 line of reflectional symmetry.
B
A line of symmetry will connect 2 vertices.
C
A line of symmetry will connect a vertex and a midpoint of an opposite side.
D
It has 7-fold symmetry.
E
A line of symmetry will connect the midpoints of 2 opposite sides.
16

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
17

The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?

A
a translation of 2 units down and 7 units to the right
B
a translation of 2 units down and 7 units to the left
C
a translation of 2 units to the right and 7 units up
D
a translation of 2 units to the left and 7 units up
18

A triangle is rotated 90° about the origin. Which rule describes the transformation?

A
(x, y) → (–x, –y)
B
(x, y) → (–y, x)
C
(x, y) → (–y, –x)
D
(x, y) → (y, –x)
19

For the transformation to be defined as a rotation, which statements must be true? Select three options.

A
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
B
The transformation is rigid.
C
Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
D
Segment CP is parallel to segment CP'.
E
If figure 1 is rotated 180° about point C, it will be mapped onto itself.
20

What is the smallest angle of rotational symmetry for a square?

A
45º
B
90º
C
180º
D
360º

Did you find these answers helpful?