CSS - PMS - CCE - PCS - Mathematics
Geometry
AD bisects ∠A. AB=10, AC=13, BD=4. Find DC.
A. 9.2
B. 3.2
C. 7.2
D. 5.2
Correct Answer: D
Angle-bisector theorem: BD/DC=AB/AC, so DC=5.2.
CSS - PMS - CCE - PCS - Mathematics
Geometry
AD bisects ∠A. AB=9, AC=12, BD=7. Find DC.
A. 11.33
B. 7.33
C. 9.33
D. 13.33
Correct Answer: C
Angle-bisector theorem: BD/DC=AB/AC, so DC=9.33.
CSS - PMS - CCE - PCS - Mathematics
Geometry
AD bisects ∠A. AB=8, AC=11, BD=6. Find DC.
A. 12.25
B. 10.25
C. 8.25
D. 6.25
Correct Answer: C
Angle-bisector theorem: BD/DC=AB/AC, so DC=8.25.
CSS - PMS - CCE - PCS - Mathematics
Geometry
AD bisects ∠A. AB=7, AC=10, BD=5. Find DC.
A. 7.14
B. 9.14
C. 5.14
D. 11.14
Correct Answer: A
Angle-bisector theorem: BD/DC=AB/AC, so DC=7.14.
CSS - PMS - CCE - PCS - Mathematics
Geometry
AD bisects ∠A. AB=6, AC=9, BD=4. Find DC.
A. 6
B. 8
C. 10
D. 4
Correct Answer: A
Angle-bisector theorem: BD/DC=AB/AC, so DC=6.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=38 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 21 cm
B. 19 cm
C. 17 cm
D. 23 cm
Correct Answer: B
Midpoint theorem: DE=½BC=19 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=36 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 20 cm
B. 18 cm
C. 16 cm
D. 22 cm
Correct Answer: B
Midpoint theorem: DE=½BC=18 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=34 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 21 cm
B. 17 cm
C. 15 cm
D. 19 cm
Correct Answer: B
Midpoint theorem: DE=½BC=17 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=32 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 14 cm
B. 20 cm
C. 16 cm
D. 18 cm
Correct Answer: C
Midpoint theorem: DE=½BC=16 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=30 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 19 cm
B. 15 cm
C. 13 cm
D. 17 cm
Correct Answer: B
Midpoint theorem: DE=½BC=15 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=28 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 12 cm
B. 14 cm
C. 16 cm
D. 18 cm
Correct Answer: B
Midpoint theorem: DE=½BC=14 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=26 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 13 cm
B. 15 cm
C. 11 cm
D. 17 cm
Correct Answer: A
Midpoint theorem: DE=½BC=13 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=24 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 12 cm
B. 16 cm
C. 14 cm
D. 10 cm
Correct Answer: A
Midpoint theorem: DE=½BC=12 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=22 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 13 cm
B. 11 cm
C. 9 cm
D. 15 cm
Correct Answer: B
Midpoint theorem: DE=½BC=11 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=20 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 10 cm
B. 8 cm
C. 14 cm
D. 12 cm
Correct Answer: A
Midpoint theorem: DE=½BC=10 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=18 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 9 cm
B. 13 cm
C. 11 cm
D. 7 cm
Correct Answer: A
Midpoint theorem: DE=½BC=9 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=16 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 10 cm
B. 12 cm
C. 6 cm
D. 8 cm
Correct Answer: D
Midpoint theorem: DE=½BC=8 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=14 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 9 cm
B. 7 cm
C. 11 cm
D. 5 cm
Correct Answer: B
Midpoint theorem: DE=½BC=7 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=12 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 4 cm
B. 10 cm
C. 8 cm
D. 6 cm
Correct Answer: D
Midpoint theorem: DE=½BC=6 cm.
CSS - PMS - CCE - PCS - Mathematics
Geometry
D and E are midpoints of AB and AC in triangle ABC. If BC=10 cm, find DE.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><text x="25" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">A</text><text x="225" y="163" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">B</text><text x="126" y="28" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">C</text></svg>
A. 3 cm
B. 9 cm
C. 5 cm
D. 7 cm
Correct Answer: C
Midpoint theorem: DE=½BC=5 cm.