Compound Statements Answers

0 verified answers1 views
1
Free Preview

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°
2
Free Preview

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)
3

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
4

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
5

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
6

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)
7

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)
8

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)
9

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5).

Question illustration
A
(–4, –5)
B
(4, 5)
C
(–5, 4)
D
(5, –4)
10

Which point would map onto itself after a reflection across the line y = –x?

A
(–4, –4)
B
(–4, 0)
C
(0, –4)
D
(4, –4)
11

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

Question illustration
A
(2, –8)
B
(–8, –2)
C
(–2, 8)
D
(8, 2)
12

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

A
(–4, 2)
B
(–2, 4)
C
(2, 4)
D
(4, –2)
13

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown.A (–1, 1)B (1, 1)C (1, 4) A' (–1, –1)B' (–1, 1)C' (–4, 1)

A
The transformation was a 90° rotation about the origin.
B
The transformation was a 180° rotation about the origin.
C
The transformation was a 270° rotation about the origin.
D
The transformation was a 360° rotation about the origin.
14

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

Question illustration
A
3
B
6
C
12
D
18
15

On a coordinate plane, a triangle has points F (3, 4), D (5, negative 3), and E (1, negative 2).

Question illustration
A
(5, 3)
B
(–5, –3)
C
(–3, 5)
D
(3, –5)
16

On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negative 4, 2). The second triangle has points L prime (negative 4, negative 2), M prime (negative 5, negative 4), and N prime (negative 2, negative 3).

Question illustration
A
rx-axis(x, y) → (–x, y)
B
ry-axis(x, y) → (–x, y)
C
rx-axis(x, y) → (x, –y)
D
ry-axis(x, y) → (x, –y)
17

The image of ΔABC after a reflection across is ΔA'B'C'.

Question illustration
A
F is the midpoint of AA' because bisects AA'.
Option A
B
F is the midpoint of EG because AA' bisects EG.
C
F is the midpoint of AA' because AA' bisects EG.
D
F is the midpoint of EG because bisects AA'.
Option D
18

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

Question illustration
A
RR' = 2SS'
B
RR' = 4SS'
C
RR' || SS'
D
RR' SS'
Option D
19

Which statements must be true about the image of ΔMNP after a reflection across ? Select three options.

Question illustration
A
The image will be congruent to ΔMNP.
B
The orientation of the image will be the same as the orientation of ΔMNP.
C
will be perpendicular to the line segments connecting the corresponding vertices.
Option C
D
The line segments connecting the corresponding vertices will all be congruent to each other.
E
The line segments connecting corresponding vertices will all be parallel to each other.
20

On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 2, 1), C (negative 4, 1), and B (negative 3, 4). The second triangle has points A prime (1, negative 2), B prime (4, negative 3), and C prime (1, negative 4).

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

Did you find these answers helpful?