CSS - PMS - CCE - PCS - Mathematics
Geometry
Both pairs opposite sides parallel means:
A. Different
B. Cannot be determined
C. 90°
D. Parallelogram
Correct Answer: D
Correct advanced theorem/fact: Parallelogram.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Exterior angles of convex polygon sum:
A. Cannot be determined
B. 360°
C. Different
D. 90°
Correct Answer: B
Correct advanced theorem/fact: 360°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Chord nearer center is:
A. Longer
B. 90°
C. Different
D. Cannot be determined
Correct Answer: A
Correct advanced theorem/fact: Longer.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Tangents from same external point have:
A. Cannot be determined
B. Different
C. Equal lengths
D. 90°
Correct Answer: C
Correct advanced theorem/fact: Equal lengths.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Centroid median ratio vertex:midpoint part:
A. 90°
B. Different
C. 2:1
D. Cannot be determined
Correct Answer: C
Correct advanced theorem/fact: 2:1.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Circumradius of right triangle equals:
A. 90°
B. Cannot be determined
C. Half the hypotenuse
D. Different
Correct Answer: C
Correct advanced theorem/fact: Half the hypotenuse.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Regular hexagon splits into equilateral triangles:
A. Different
B. 6
C. Cannot be determined
D. 90°
Correct Answer: B
Correct advanced theorem/fact: 6.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Interior-angle sum of a 20-gon:
A. Different
B. 3240°
C. Cannot be determined
D. 90°
Correct Answer: B
Correct advanced theorem/fact: 3240°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Two secants from same external point satisfy:
A. Cannot be determined
B. 90°
C. Different
D. External×whole products equal
Correct Answer: D
Correct advanced theorem/fact: External×whole products equal.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Intersecting chords theorem gives products that are:
A. Different
B. Cannot be determined
C. 90°
D. Equal
Correct Answer: D
Correct advanced theorem/fact: Equal.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 96°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">96°</text></svg>
A. 42°
B. 37°
C. 47°
D. 52°
Correct Answer: A
Each base angle=(180°−96°)/2=42°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 92°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">92°</text></svg>
A. 54°
B. 49°
C. 44°
D. 39°
Correct Answer: C
Each base angle=(180°−92°)/2=44°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 88°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">88°</text></svg>
A. 51°
B. 41°
C. 56°
D. 46°
Correct Answer: D
Each base angle=(180°−88°)/2=46°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 84°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">84°</text></svg>
A. 58°
B. 53°
C. 43°
D. 48°
Correct Answer: D
Each base angle=(180°−84°)/2=48°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 80°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">80°</text></svg>
A. 45°
B. 60°
C. 55°
D. 50°
Correct Answer: D
Each base angle=(180°−80°)/2=50°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 76°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">76°</text></svg>
A. 47°
B. 52°
C. 57°
D. 62°
Correct Answer: B
Each base angle=(180°−76°)/2=52°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 72°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">72°</text></svg>
A. 54°
B. 49°
C. 59°
D. 64°
Correct Answer: A
Each base angle=(180°−72°)/2=54°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 68°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">68°</text></svg>
A. 66°
B. 61°
C. 56°
D. 51°
Correct Answer: C
Each base angle=(180°−68°)/2=56°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 64°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">64°</text></svg>
A. 58°
B. 63°
C. 53°
D. 68°
Correct Answer: A
Each base angle=(180°−64°)/2=58°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Isosceles triangle vertex angle 60°. Find each base angle.<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><text x="52" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="187" y="132" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">?</text><text x="118" y="58" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">60°</text></svg>
A. 60°
B. 70°
C. 65°
D. 55°
Correct Answer: A
Each base angle=(180°−60°)/2=60°.