MCQ Questions
Q.1.
A centroid is the intersection of three
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    less than 90°.
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    medians in a triangle
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    12 inches
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    BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
Q.2.
In which figure is point G a centroid?
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    ∠MKL
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    31°
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    A
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    12 inches
Q.3.
Consider triangle WXY.Which statement about the angles is true?
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    longer than
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    Angle L is a base angle and measures 72°.
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    BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
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    Angle W is greater than angle Y.
Q.4.
Based on the diagram, which expresses all possible lengths of segment AB?
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    ZBM = ZCM
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    mY < mZ < mX
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    27 < AB < 81
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    m∠A + m∠B = 155°
Q.5.
Point Z is the incenter of ΔSRT.What is mZTB?
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    5.3 cm
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    31°
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    ∠MKL
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    ZBM = ZCM
Q.6.
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?
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    8 cm and 8 cm
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    ZBM = ZCM
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    27 < AB < 81
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    mY < mZ < mX
Q.7.
In the triangles, BC = DE and AC = FE. If the mC is greater than the mE, then AB is _________ DF.
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    180 - 2a
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    12 inches
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    longer than
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    less than 90°.
Q.8.
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?
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    5.3 cm
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    ∠MKL
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    31°
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    54°
Q.9.
Point H is the circumcenter of triangle DEF.Which must be true? Check all that apply.
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    5.3 cm
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    Point H is the center of the circle that passes through points D, E, and F.HE = HDLH = NH
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    ZBM = ZCM
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    ∠DEC is an exterior angle.∠ABE and ∠EBC are supplementary angles.∠BEC is a remote interior angle to exterior ∠BCF.
Q.10.
What is the m∠ABC?
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    4 units
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    m∠ABC = 60°
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    ZBM = ZCM
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    x = 22
Q.11.
Triangle KNM is shown.What is true about the sides of KNM?
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    KN = NM
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    180 - 2a
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    ZBM = ZCM
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    5.3 cm
Q.12.
If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
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    27 < AB < 81
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    less than 90°.
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    mY < mZ < mX
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    m∠A + m∠B = 155°
Q.13.
Which angle is an adjacent interior angle to ∠JKM?
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    KN = NM
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    ∠MKL
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    12 inches
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    31°
Q.14.
In triangle TRS, VZ = 6 inches. What is RZ?
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    less than 90°.
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    12 inches
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    KN = NM
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    4 units
Q.15.
Point Z is the circumcenter of ΔLMN.Which must be true?
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    KN = NM
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    ZBM = ZCM
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    5.3 cm
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    31°
Q.16.
If triangle RST is an acute triangle, then m∠S must be
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    longer than
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    less than 90°.
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    KN = NM
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    12 inches
Q.17.
Which statements regarding the diagram of ΔEBC are true? Check all that apply.
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    27 < AB < 81
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    ∠DEC is an exterior angle.∠ABE and ∠EBC are supplementary angles.∠BEC is a remote interior angle to exterior ∠BCF.
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    Point H is the center of the circle that passes through points D, E, and F.HE = HDLH = NH
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    Angle W is greater than angle Y.
Q.18.
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?
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    Point H is the center of the circle that passes through points D, E, and F.HE = HDLH = NH
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    ∠DEC is an exterior angle.∠ABE and ∠EBC are supplementary angles.∠BEC is a remote interior angle to exterior ∠BCF.
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    Mia is closer because her distance to the chest is opposite the smaller angle.
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    Angle L is a base angle and measures 72°.
Q.19.
Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
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    Angle W is greater than angle Y.
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    KN = NM
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    Angle L is a base angle and measures 72°.
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    180 - 2a