Free MCQs & Online Quiz Practice for Exams

Q: In ΔABC, m∠A=90°, m∠B=53°, m∠C=37°, which relation among the sides is correct?

A) AB<BC<CA

B) AC<BC<AB

C) AB<AC<BC

D) BC<AC<AB

Q: In the figure, P lies outside AB. mPR will be the shortest distance if m∠PRA is:

A) 180°

B) 45°

C) 100°

D) 90°

Q: Two sides of a triangle are 10 and 14. Which of the following can be the third side?

A) 2

B) 4

C) 22

D) 24

Q: In ΔABC, m∠A=50° and m∠B=30°. Which of the following is correct?

A) mBC>mAB

B) mAB>mCA

C) mBC<mCA

D) mAB<mCA

Q: What is the first step in constructing an angle bisector?

A) Draw a ray

B) Label the points of intersection

C) Measure the line

D) Place the compass point on the vertex

Q: What geometric construction is shown in the diagram below?

A) A line parallel to a given line

B) An angle bisector

C) An angle congruent to a given angle

D) A perpendicular

Q: A line segment joining the midpoint of one side of a triangle to its opposite vertex is called

A) Perpendicular bisector

B) Median

C) Altitude

D) Angle bisector

Q: You are looking at a triangle whose orthocenter, centroid and circumcenter are all the same point. What type of triangle are you looking at?

A) Scalene

B) Isosceles

C) Equilateral

D) Right

Q: The centroid of a triangle divides the medians into the ratio of

A) 2:1

B) 3:1

C) 4:1

D) 5:1

Q: A line which is perpendicular to a line segment at its mid-point is called a/an

A) Perpendicular bisector

B) Median

C) Altitude

D) Angle bisector

Q: The point of intersection of the bisectors of the angles of a triangle is equidistant from the

A) Vertices

B) Sides

C) Altitudes

D) Medians

Q: Altitudes of a triangle are

A) Equal in length

B) Equidistant from the vertices

C) Concurrent

D) Perpendicular bisectors

Q: The point of intersection of the perpendicular bisectors of the sides of a triangle is equidistant from the

A) Altitudes

B) Medians

C) Sides

D) Vertices

Q: Perpendicular distance between two lines is the same. The lines are

A) Perpendicular to each other

B) Parallel to each other

C) Intersecting

D) None of the above

Q: If two triangles have equal area then they will ________be congruent as well.

A) Not necessarily

B) Necessarily

C) Definitely

D) None of the above

Q: Perpendicular from a vertex of a triangle to its opposite side is called

A) Median

B) Perpendicular bisector

C) Altitude

D) Angle bisector

Q: Parallelograms having same base and same altitude are

A) Congruent

B) Equal in area

C) Similar

D) All of the above

Q: Two parallelograms have equal bases. They will have the same area if

A) Their altitudes are equal

B) Their altitude is the same

C) They lie between the same parallel lines

D) All of the above

Q: If two triangles have equal bases and equal altitudes, what else will they have equal?

A) Area

B) Perimeter

C) Size

D) Angles

Q: Suppose a triangle has a base length of 4 feet and a height of 4 feet. Its interior area is

A) 4 sq. ft

B) 8 sq. ft

C) 16 sq. ft

D) Impossible to determine