Multiple Choice Questions

A centroid is the intersection of three
  • less than 90°.
  • medians in a triangle
  • 12 inches
  • BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
In which figure is point G a centroid?
  • ∠MKL
  • 31°
  • A
  • 12 inches
Consider triangle WXY.Which statement about the angles is true?
  • longer than
  • Angle L is a base angle and measures 72°.
  • BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
  • Angle W is greater than angle Y.
Based on the diagram, which expresses all possible lengths of segment AB?
  • ZBM = ZCM
  • mY < mZ < mX
  • 27 < AB < 81
  • m∠A + m∠B = 155°
Point Z is the incenter of ΔSRT.What is mZTB?
  • 5.3 cm
  • 31°
  • ∠MKL
  • ZBM = ZCM
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
  • 8 cm and 8 cm
  • ZBM = ZCM
  • 27 < AB < 81
  • mY < mZ < mX
In the triangles, BC = DE and AC = FE. If the mC is greater than the mE, then AB is _________ DF.
  • 180 - 2a
  • 12 inches
  • longer than
  • less than 90°.
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
  • 5.3 cm
  • ∠MKL
  • 31°
  • 54°
Point H is the circumcenter of triangle DEF.Which must be true? Check all that apply.
  • 5.3 cm
  • Point H is the center of the circle that passes through points D, E, and F.HE = HDLH = NH
  • ZBM = ZCM
  • ∠DEC is an exterior angle.∠ABE and ∠EBC are supplementary angles.∠BEC is a remote interior angle to exterior ∠BCF.
What is the m∠ABC?
  • 4 units
  • m∠ABC = 60°
  • ZBM = ZCM
  • x = 22
Triangle KNM is shown.What is true about the sides of KNM?
  • KN = NM
  • 180 - 2a
  • ZBM = ZCM
  • 5.3 cm
If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
  • 27 < AB < 81
  • less than 90°.
  • mY < mZ < mX
  • m∠A + m∠B = 155°
Which angle is an adjacent interior angle to ∠JKM?
  • KN = NM
  • ∠MKL
  • 12 inches
  • 31°
In triangle TRS, VZ = 6 inches. What is RZ?
  • less than 90°.
  • 12 inches
  • KN = NM
  • 4 units
Point Z is the circumcenter of ΔLMN.Which must be true?
  • KN = NM
  • ZBM = ZCM
  • 5.3 cm
  • 31°
If triangle RST is an acute triangle, then m∠S must be
  • longer than
  • less than 90°.
  • KN = NM
  • 12 inches
Which statements regarding the diagram of ΔEBC are true? Check all that apply.
  • 27 < AB < 81
  • ∠DEC is an exterior angle.∠ABE and ∠EBC are supplementary angles.∠BEC is a remote interior angle to exterior ∠BCF.
  • Point H is the center of the circle that passes through points D, E, and F.HE = HDLH = NH
  • Angle W is greater than angle Y.
Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters. Given the angles in the diagram, who is closer to the treasure chest and why?
  • Point H is the center of the circle that passes through points D, E, and F.HE = HDLH = NH
  • ∠DEC is an exterior angle.∠ABE and ∠EBC are supplementary angles.∠BEC is a remote interior angle to exterior ∠BCF.
  • Mia is closer because her distance to the chest is opposite the smaller angle.
  • Angle L is a base angle and measures 72°.
Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
  • Angle W is greater than angle Y.
  • KN = NM
  • Angle L is a base angle and measures 72°.
  • 180 - 2a
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Multiple Choice Questions
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