CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(4,6) in the x-axis. Find image P′.
A. (4, 6)
B. (4, -6)
C. (-4, -6)
D. (6, 4)
Correct Answer: B
Reflection changes the sign of the coordinate perpendicular to the x-axis. P′=(4, -6).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(3,5) in the y-axis. Find image P′.
A. (-3, -5)
B. (5, 3)
C. (3, 5)
D. (-3, 5)
Correct Answer: D
Reflection changes the sign of the coordinate perpendicular to the y-axis. P′=(-3, 5).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(2,4) in the x-axis. Find image P′.
A. (4, 2)
B. (2, 4)
C. (-2, -4)
D. (2, -4)
Correct Answer: D
Reflection changes the sign of the coordinate perpendicular to the x-axis. P′=(2, -4).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(1,3) in the y-axis. Find image P′.
A. (3, 1)
B. (-1, -3)
C. (1, 3)
D. (-1, 3)
Correct Answer: D
Reflection changes the sign of the coordinate perpendicular to the y-axis. P′=(-1, 3).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(0,2) in the x-axis. Find image P′.
A. (0, 2)
B. (0, -2)
C. None of these
D. (2, 0)
Correct Answer: B
Reflection changes the sign of the coordinate perpendicular to the x-axis. P′=(0, -2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(-1,6) in the y-axis. Find image P′.
A. (-1, 6)
B. (1, -6)
C. (1, 6)
D. (6, -1)
Correct Answer: C
Reflection changes the sign of the coordinate perpendicular to the y-axis. P′=(1, 6).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(-2,5) in the x-axis. Find image P′.
A. (-2, 5)
B. (5, -2)
C. (2, -5)
D. (-2, -5)
Correct Answer: D
Reflection changes the sign of the coordinate perpendicular to the x-axis. P′=(-2, -5).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(-3,4) in the y-axis. Find image P′.
A. (-3, 4)
B. (3, -4)
C. (3, 4)
D. (4, -3)
Correct Answer: C
Reflection changes the sign of the coordinate perpendicular to the y-axis. P′=(3, 4).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(-4,3) in the x-axis. Find image P′.
A. (-4, 3)
B. (4, -3)
C. (-4, -3)
D. (3, -4)
Correct Answer: C
Reflection changes the sign of the coordinate perpendicular to the x-axis. P′=(-4, -3).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Reflect P(-5,2) in the y-axis. Find image P′.
A. (5, 2)
B. (-5, 2)
C. (2, -5)
D. (5, -2)
Correct Answer: A
Reflection changes the sign of the coordinate perpendicular to the y-axis. P′=(5, 2).
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(12,0), C(0,7): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="339" cy="105" r="4" fill="#2563eb"/><text x="344" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(12,0)</text><circle cx="135" cy="-14" r="4" fill="#2563eb"/><text x="140" y="-20" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,7)</text><line x1="135" y1="105" x2="339" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="339" y1="105" x2="135" y2="-14" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="-14" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 39 square units
B. 48 square units
C. 42 square units
D. 45 square units
Correct Answer: C
Area=½×base×height=½×12×7=42 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(11,0), C(0,6): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="322" cy="105" r="4" fill="#2563eb"/><text x="327" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(11,0)</text><circle cx="135" cy="3" r="4" fill="#2563eb"/><text x="140" y="-3" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,6)</text><line x1="135" y1="105" x2="322" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="322" y1="105" x2="135" y2="3" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="3" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 39 square units
B. 30 square units
C. 33 square units
D. 36 square units
Correct Answer: C
Area=½×base×height=½×11×6=33 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(10,0), C(0,5): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="305" cy="105" r="4" fill="#2563eb"/><text x="310" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(10,0)</text><circle cx="135" cy="20" r="4" fill="#2563eb"/><text x="140" y="14" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,5)</text><line x1="135" y1="105" x2="305" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="305" y1="105" x2="135" y2="20" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="20" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 28 square units
B. 25 square units
C. 22 square units
D. 31 square units
Correct Answer: B
Area=½×base×height=½×10×5=25 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(9,0), C(0,4): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="288" cy="105" r="4" fill="#2563eb"/><text x="293" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(9,0)</text><circle cx="135" cy="37" r="4" fill="#2563eb"/><text x="140" y="31" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,4)</text><line x1="135" y1="105" x2="288" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="288" y1="105" x2="135" y2="37" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="37" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 21 square units
B. 24 square units
C. 18 square units
D. 15 square units
Correct Answer: C
Area=½×base×height=½×9×4=18 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(8,0), C(0,9): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="271" cy="105" r="4" fill="#2563eb"/><text x="276" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(8,0)</text><circle cx="135" cy="-48" r="4" fill="#2563eb"/><text x="140" y="-54" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,9)</text><line x1="135" y1="105" x2="271" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="271" y1="105" x2="135" y2="-48" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="-48" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 33 square units
B. 42 square units
C. 36 square units
D. 39 square units
Correct Answer: C
Area=½×base×height=½×8×9=36 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(7,0), C(0,8): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="254" cy="105" r="4" fill="#2563eb"/><text x="259" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(7,0)</text><circle cx="135" cy="-31" r="4" fill="#2563eb"/><text x="140" y="-37" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,8)</text><line x1="135" y1="105" x2="254" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="254" y1="105" x2="135" y2="-31" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="-31" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 31 square units
B. 34 square units
C. 25 square units
D. 28 square units
Correct Answer: D
Area=½×base×height=½×7×8=28 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(6,0), C(0,7): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="237" cy="105" r="4" fill="#2563eb"/><text x="242" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(6,0)</text><circle cx="135" cy="-14" r="4" fill="#2563eb"/><text x="140" y="-20" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,7)</text><line x1="135" y1="105" x2="237" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="237" y1="105" x2="135" y2="-14" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="-14" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 24 square units
B. 27 square units
C. 21 square units
D. 18 square units
Correct Answer: C
Area=½×base×height=½×6×7=21 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(5,0), C(0,6): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="220" cy="105" r="4" fill="#2563eb"/><text x="225" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(5,0)</text><circle cx="135" cy="3" r="4" fill="#2563eb"/><text x="140" y="-3" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,6)</text><line x1="135" y1="105" x2="220" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="220" y1="105" x2="135" y2="3" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="3" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 12 square units
B. 21 square units
C. 15 square units
D. 18 square units
Correct Answer: C
Area=½×base×height=½×5×6=15 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(4,0), C(0,5): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="203" cy="105" r="4" fill="#2563eb"/><text x="208" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(4,0)</text><circle cx="135" cy="20" r="4" fill="#2563eb"/><text x="140" y="14" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,5)</text><line x1="135" y1="105" x2="203" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="203" y1="105" x2="135" y2="20" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="20" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 13 square units
B. 7 square units
C. 10 square units
D. 16 square units
Correct Answer: C
Area=½×base×height=½×4×5=10 square units.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Triangle A(0,0), B(3,0), C(0,4): find area.<br/><svg xmlns="http://www.w3.org/2000/svg" width="270" height="210" viewBox="0 0 270 210" role="img"><line x1="18" y1="105" x2="252" y2="105" stroke="#6b7280"/><line x1="135" y1="12" x2="135" y2="198" stroke="#6b7280"/><text x="254" y="100" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">x</text><text x="140" y="17" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">y</text><circle cx="135" cy="105" r="4" fill="#2563eb"/><text x="140" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A(0,0)</text><circle cx="186" cy="105" r="4" fill="#2563eb"/><text x="191" y="99" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B(3,0)</text><circle cx="135" cy="37" r="4" fill="#2563eb"/><text x="140" y="31" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C(0,4)</text><line x1="135" y1="105" x2="186" y2="105" stroke="#1f2937" stroke-width="2"/><line x1="186" y1="105" x2="135" y2="37" stroke="#1f2937" stroke-width="2"/><line x1="135" y1="37" x2="135" y2="105" stroke="#1f2937" stroke-width="2"/></svg>
A. 3 square units
B. 9 square units
C. 6 square units
D. 12 square units
Correct Answer: C
Area=½×base×height=½×3×4=6 square units.