WorksheetsGeometry Quiz
Total questions: 25
Worksheet time: 25mins
Line CD is the perpendicular bisector of segment AB. The lines intersect at point E. Which of these statements is true?
E is closer to A.
E is closer to B.
E is the same distance from A and B.
There is not enough information to be sure.
Priya followed a set of instructions to make quadrilateral ACBD. Which description is accurate for the shape she constructed?
2 congruent sides, but not all 4
4 congruent angles
4 congruent sides
4 congruent sides and 4 congruent angles
What is the definition of a circle?
A shape with four equal sides
The set of all points that are a distance "r" units from a center point.
A polygon with three sides
A shape with two parallel sides
Triangle ABC is isosceles. What does it mean for a triangle to be isosceles?
All sides are different lengths
All angles are different
Two sides are of equal length
All sides are equal
In the construction of quadrilateral ACBD, what is the significance of the intersection points of the circles?
They determine the length of the sides
They are the vertices of the quadrilateral
They are the midpoints of the sides
They are the centers of the circles
What is the result of drawing a circle centered at a point with a given radius?
A line segment
A triangle
A circle with all points equidistant from the center
A square
In the context of the document, what does 'congruent' mean?
Different in size
Equal in measure
Parallel
Perpendicular
Which statement is true?
Line i is perpendicular to line j.
i ⊥ j
Line i is parallel to j.
i ∥ j
Line g is parallel to line i.
i ∥ g
All three lines are parallel.
i ∥ g ∥ j
What is the relationship between circles a and b?
They are different sizes.
They are congruent.
They are tangent.
They are concentric.
What is the role of circle c in the construction?
It is congruent to circles a and b.
It is centered at an intersection point of a and b.
It is tangent to line j.
It is centered at an intersection point of h and k.
Which line is constructed last in the instructions?
Line g
Line j
Line i
Line h
The 3 circles in the diagram A, B, and C.
Why segments AB and AC have the same length?
What type of triangle is ΔABC ?
Mai wants to construct continue and construct a regular hexagon inscribed in the circle centered at C. Place the construction in the correct order.
Which statement is true about the diagram with centers A and B?
The length AB is equal to the length CD.
Segment AM is perpendicular to segment BM.
Point M is the midpoint of segment AB.
Line CD is perpendicular to segment AB.
Which statement is true about the diagram with centers A and C?
BC = CD
AB = BC
AB = BD
BD = CD
The diagram was constructed with straightedge and compass tools. Which two segments have the same length as segment AC?
AB
CB
CE
BE
Which triangle is equilateral in the given construction?
Triangle VWZ is equilateral.
Triangle STU is equilateral.
In a straightedge and compass construction of the bisector of angle BAC, which was the first step necessary?
Draw a circle centered at B.
Draw a perpendicular bisector of AB.
Draw a line parallel to AC.
Draw a circle centered at A.
In a construction where A is the center of one circle and B is the center of another, which segments have the same length as AB?
Segment AB
Segment CD
Segment BC
Segment AC
What is the purpose of constructing the perpendicular bisector of a segment?
To find the volume of the segment.
To find the area of the segment.
To find the midpoint of the segment.
To find the length of the segment.
What is the result of constructing the bisector of an angle?
The angle is halved.
The angle is doubled.
The angle is divided into two equal parts.
The angle is tripled.
Clare used a compass to make a circle with radius the same length as segment AB. She labeled the center C. Which statement must be true?
AB = CE
AB = CD
AB = CF
AB = EF
Which statement is true about line EF in the given construction?
Line EF is parallel to line CD.
Line EF is the perpendicular bisector of segment BA.
Line EF is the bisector of angle BAC.
In this diagram, line segment CD is the perpendicular bisector of line segment AB. Assume the conjecture that the set of points equidistant from A and B is the perpendicular bisector of AB is true.
Is point M closer to point A, closer to point B, or the same distance from both points?
Point M is the same distance from both points.
Point M is closer to point B.
Point M is not on the perpendicular bisector.
Point M is closer to point A.
