CSS - PMS - CCE - PCS - Mathematics
Geometry
Dilate P(-4,-1) by factor 2 about origin.
A. (4,1)
B. (-4,-1)
C. (-1,-4)
D. (-8, -2)
Correct Answer: D
Multiply coordinates by 2: P′=(-8, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Rotate P(2,-2) 90° counterclockwise about origin.
A. None of these
B. (2, 2)
C. (-2,2)
D. (2,-2)
Correct Answer: B
(x,y)→(−y,x), so P′=(2, 2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Translate P(1,-3) by ⟨2,1⟩.
A. (-3,1)
B. (1,-3)
C. (3, -2)
D. (-1,3)
Correct Answer: C
Add components: P′=(3, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Dilate P(0,2) by factor 2 about origin.
A. (0,2)
B. (0,-2)
C. (0, 4)
D. (2,0)
Correct Answer: C
Multiply coordinates by 2: P′=(0, 4).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Rotate P(-1,1) 90° counterclockwise about origin.
A. None of these
B. (-1,1)
C. (-1, -1)
D. (1,-1)
Correct Answer: C
(x,y)→(−y,x), so P′=(-1, -1).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Translate P(-2,0) by ⟨3,1⟩.
A. (0,-2)
B. (1, 1)
C. (2,0)
D. (-2,0)
Correct Answer: B
Add components: P′=(1, 1).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Dilate P(-3,-1) by factor 2 about origin.
A. (-1,-3)
B. (-6, -2)
C. (3,1)
D. (-3,-1)
Correct Answer: B
Multiply coordinates by 2: P′=(-6, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Rotate P(-4,-2) 90° counterclockwise about origin.
A. (-4,-2)
B. (2, -4)
C. (4,2)
D. (-2,-4)
Correct Answer: B
(x,y)→(−y,x), so P′=(2, -4).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Translate P(2,-3) by ⟨4,1⟩.
A. (-3,2)
B. (-2,3)
C. (2,-3)
D. (6, -2)
Correct Answer: D
Add components: P′=(6, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Dilate P(1,2) by factor 2 about origin.
A. (1,2)
B. (2,1)
C. (2, 4)
D. (-1,-2)
Correct Answer: C
Multiply coordinates by 2: P′=(2, 4).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Rotate P(0,1) 90° counterclockwise about origin.
A. (1,0)
B. (0,-1)
C. (-1, 0)
D. (0,1)
Correct Answer: C
(x,y)→(−y,x), so P′=(-1, 0).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Translate P(-1,0) by ⟨5,1⟩.
A. (1,0)
B. (0,-1)
C. (-1,0)
D. (4, 1)
Correct Answer: D
Add components: P′=(4, 1).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Dilate P(-2,-1) by factor 2 about origin.
A. (2,1)
B. (-2,-1)
C. (-1,-2)
D. (-4, -2)
Correct Answer: D
Multiply coordinates by 2: P′=(-4, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Rotate P(-3,-2) 90° counterclockwise about origin.
A. (-2,-3)
B. (3,2)
C. (-3,-2)
D. (2, -3)
Correct Answer: D
(x,y)→(−y,x), so P′=(2, -3).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Translate P(-4,-3) by ⟨2,1⟩.
A. (-4,-3)
B. (-3,-4)
C. (-2, -2)
D. (4,3)
Correct Answer: C
Add components: P′=(-2, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Similar solids linear scale factor 2; smaller volume 110 cm³. Find larger volume.
A. 900 cm³
B. 920 cm³
C. 860 cm³
D. 880 cm³
Correct Answer: D
Volume factor=k³=8; larger volume=880 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Similar solids linear scale factor 4; smaller volume 100 cm³. Find larger volume.
A. 6440 cm³
B. 6420 cm³
C. 6400 cm³
D. 6380 cm³
Correct Answer: C
Volume factor=k³=64; larger volume=6400 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Similar solids linear scale factor 3; smaller volume 90 cm³. Find larger volume.
A. 2470 cm³
B. 2430 cm³
C. 2450 cm³
D. 2410 cm³
Correct Answer: B
Volume factor=k³=27; larger volume=2430 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Similar solids linear scale factor 2; smaller volume 80 cm³. Find larger volume.
A. 640 cm³
B. 660 cm³
C. 620 cm³
D. 680 cm³
Correct Answer: A
Volume factor=k³=8; larger volume=640 cm³.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Similar solids linear scale factor 4; smaller volume 70 cm³. Find larger volume.
A. 4480 cm³
B. 4460 cm³
C. 4500 cm³
D. 4520 cm³
Correct Answer: A
Volume factor=k³=64; larger volume=4480 cm³.