For questions 1 through 6, please use each of the following terms only once:
- Rectangle
- Kite
- Parallelogram
- Square
- Trapezoid
- Rhombus
Question 1
1.
A quadrilateral with both pairs of opposite sides parallel can best be described as a __________ .
Question 2
2.
A quadrilateral with all sides congruent can best be described as a __________ .
Question 3
3.
A quadrilateral with exactly one pair of parallel sides can best be described as a __________ .
Question 4
4.
A quadrilateral with opposite sides congruent and four right angles can best be described as a __________ .
Question 5
5.
A quadrilateral with two pairs of consecutive congruent sides with opposite sides not congruent can best be described as a __________.
Question 6
6.
A quadrilateral with four right angles and all sides congruent can best be described as a __________.
Question 7
7.
Question 8
8.
Question 9
9.
Use the space below to draw or describe the situations in which the diagonals of a trapezoid are congruent.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Each interior angle of a regular polygon is equal to 160 degrees. Determine the number of sides of the polygon.
Question 14
14.
Chelsea draws a 16-sided polygon. What is the sum of all interior angles of this 16-gon?
Question 15
15.
If the 16-gon that Chelsea drew is a regular polygon, then what is the measure of each interior angle?
Question 16
16.
A quadrilateral ABCD is graphed using the points A(-2,1), B(0,5), C(3,4), and D(1,0). Is this a parallelogram or a rectangle? (Show your work here. Select your answer in the next problem.)
Question 17
17.
Question 18
18.
Question 19
19.
Question 20
20.
Question 21
21.
Question 22
22.
Question 23
23.
Question 24
24.
Question 25
25.
Cyrus plots the following points: A(-3,-2), B(3,-1), C(3, 1). Where should Cyrus plot point D so that the figure formed is a parallelogram? (Show your work here. Select your answer in the next problem.)
Question 26
26.
Question 27
27.
Michael plots and connects the following points: A(-3,2), B(1,1), C(-3,4), and D(-5,1). Which best describes the quadrilateral? (Show your work here. Select your answer in the next problem.)
Question 28
28.
Question 29
29.
Question 30
30.
Explain your response from the question above.
Michael draws a rectangle. Alexis thinks it might be a square. What would need to be true of the diagonals if the rectangle is also a square? (select all choices that would need to be true)
The diagonals would need to be parallel.
The diagonals would need to be perpendicular.
The diagonals would need to bisect the vertex angles.
The diagonals would need to be not congruent.
The diagonals of a trapezoid are always congruent.
True
False
In some quadrilaterals thediagonals bisect ALL vertex angles. Select the quadrilaterals that have this property.
square
rectangle
parallelogram
rhombus
trapezoid
kite
If both pairs of opposite sides are parallel, then the quadrilateral is a rhombus.
True
False
If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral could be... (select all that apply)
square
rectangle
parallelogram
rhombus
trapezoid
kite
A quadrilateral ABCD is graphed using the points A(-2,1), B(0,5), C(3,4), and D(1,0). Is this a parallelogram or a rectangle?
parallelogram
rectangle
A trapezoid and a rhombus are both what type of shape?
square
parallelogram
quadrilateral
kite
Which of the following is NOT a parallelogram?
rhombus
kite
square
rectangle
Which property is true of ALL parallelograms?
Consecutive angles are congruent.
The diagonals bisect each other.
Consecutive sides are parallel.
Opposite sides are perpendicular.
Which of the following is a property of ALL squares?
No sides are parallel.
Opposite sides are not congruent.
Opposite vertex angles are not congruent.
The diagonals bisect each other.
Which of the following has congruent base angles?
all trapezoids
all isosceles trapezoids
all kites
all quadrilaterals
Which of the following is a property of all rectangles?
The diagonals are perpendicular.
The diagonals bisect the vertex angles.
Opposite sides are congruent.
Only one pair of opposite sides is parallel.
Which of the following has four congruent sides?
rectangle
kite
rhombus
trapezoid
Cyrus plots the following points: A(-3,-2), B(3,-1), C(3, 1). Where should Cyrus plot point D so that the figure formed is a parallelogram?
(-3,1)
(-3,0)
(-2,1)
(-2,0)
Michael plots and connects the following points: A(-3,2), B(1,1), C(-3,4), and D(1,5). Which best describes the quadrilateral?
rectangle
rhombus
square
trapezoid
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