Geometry Semester 2 Final Exam Questions
With Correct Answers Rated A+
Which of the following are among the five basic postulates of Euclidean geometry? - CORRECT
ANSWER -1) Any straight line segment can be extended indefinitely
2) All right angles are equal
3) A straight line segment can be drawn between any two points
True or False: The ancient Greeks could bisect an angle using only a compass and straightedge -
CORRECT ANSWER -True
True or False: Since a regular hexagon contains no circles, it can be drawn using only a straight
edge - CORRECT ANSWER -False
There are six __________ triangles in a regular hexagon - CORRECT ANSWER -equilateral
True or False: the ancient Greeks were able to construct a perpendicular bisector for a given line
segment using only a straightedge and compass - CORRECT ANSWER -True
In a straightedge and compass construction of an equilateral triangle, which of the following
reasons can you use to prove that AB and AC are congruent? - CORRECT ANSWER -AC and AB
are both radii of the circle A
Which of the following are tools that allowed the greeks to use five basic postulates of
euclidean geometry/ - CORRECT ANSWER -- Straightedge
- compass
True or False: using a straightedge and compass, the ancient Greeks were able to construct
many geometric object - CORRECT ANSWER -True
, Which of the following are among the five basic postulates of euclidean geometry? - CORRECT
ANSWER -1) A straight line segment may be drawn from any given point to any other.
2) A straight line may be extended to any finite length.
3) A circle may be described with any given point as its center and any distance as its radius.
4) All right angles are congruent.
5) If a straight line intersects two other straight lines, and so makes the two interior angles on
one side of it together less than two right angles, then the other straight lines will meet at a
point if extended far enough on the side on which the angles are less than two right angles.
What kind of angle is created by the intersection of two perpendicular lines, rays, or line
segments? - CORRECT ANSWER -Right Angle
True or False: To find the midpoint of a segment, first mark a point not on the segment and then
fold the paper so that the point you marked and a point on the line are included in the fold -
CORRECT ANSWER -False
True or False: You can find a perpendicular line segment from a point to a line using the paper
folding technique - CORRECT ANSWER -True
True or False: to find the bisector of a given angle using a paper folding construction, fold the
paper so that the crease goes through the vertex and the sides of the angles match up -
CORRECT ANSWER -True
True or False: the midpoint of a line can be found using either a compass and straight edge or a
straight edge and tracing paper construction - CORRECT ANSWER -True
Which of the following are techniques used in geometric constructions with paper folding? -
CORRECT ANSWER -- drawing line segments
With Correct Answers Rated A+
Which of the following are among the five basic postulates of Euclidean geometry? - CORRECT
ANSWER -1) Any straight line segment can be extended indefinitely
2) All right angles are equal
3) A straight line segment can be drawn between any two points
True or False: The ancient Greeks could bisect an angle using only a compass and straightedge -
CORRECT ANSWER -True
True or False: Since a regular hexagon contains no circles, it can be drawn using only a straight
edge - CORRECT ANSWER -False
There are six __________ triangles in a regular hexagon - CORRECT ANSWER -equilateral
True or False: the ancient Greeks were able to construct a perpendicular bisector for a given line
segment using only a straightedge and compass - CORRECT ANSWER -True
In a straightedge and compass construction of an equilateral triangle, which of the following
reasons can you use to prove that AB and AC are congruent? - CORRECT ANSWER -AC and AB
are both radii of the circle A
Which of the following are tools that allowed the greeks to use five basic postulates of
euclidean geometry/ - CORRECT ANSWER -- Straightedge
- compass
True or False: using a straightedge and compass, the ancient Greeks were able to construct
many geometric object - CORRECT ANSWER -True
, Which of the following are among the five basic postulates of euclidean geometry? - CORRECT
ANSWER -1) A straight line segment may be drawn from any given point to any other.
2) A straight line may be extended to any finite length.
3) A circle may be described with any given point as its center and any distance as its radius.
4) All right angles are congruent.
5) If a straight line intersects two other straight lines, and so makes the two interior angles on
one side of it together less than two right angles, then the other straight lines will meet at a
point if extended far enough on the side on which the angles are less than two right angles.
What kind of angle is created by the intersection of two perpendicular lines, rays, or line
segments? - CORRECT ANSWER -Right Angle
True or False: To find the midpoint of a segment, first mark a point not on the segment and then
fold the paper so that the point you marked and a point on the line are included in the fold -
CORRECT ANSWER -False
True or False: You can find a perpendicular line segment from a point to a line using the paper
folding technique - CORRECT ANSWER -True
True or False: to find the bisector of a given angle using a paper folding construction, fold the
paper so that the crease goes through the vertex and the sides of the angles match up -
CORRECT ANSWER -True
True or False: the midpoint of a line can be found using either a compass and straight edge or a
straight edge and tracing paper construction - CORRECT ANSWER -True
Which of the following are techniques used in geometric constructions with paper folding? -
CORRECT ANSWER -- drawing line segments
