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WorksheetsSpring Break Review
Total questions: 160
Worksheet time: 2hrs 0mins
What is the slope of the line below?
5/3
3/5
-5/3
-3/5
What is the other endpoint?
Given the graph below, which statements are true?
DE || KS
DK ⊥ KS
DS ≅ KE
KD ≅ SE
mdpt DS = mdpt KE
The diagram above shows which special line?
Median
Midsegment
Altitude
Perpendicular bisector
Which shows the starting step of constructing a square?
Choose ALL the degrees of rotation that will map a regular hexagon onto itself.
90
120
150
240
300
In the image above, L is the image of G after a translation. What is the image of J after the same translation? (a)
Describe the transformation shown in the graph.
(Black shape is the pre-image)Reflect across x=−2
Translate 2 units right
Reflect across y=−2
Describe the transformation shown in the graph.
(Black shape is the pre-image)Reflect across y=1
Reflect across the y-axis
Reflect across the x-axis
Describe the transformation shown in the graph.
(Black shape is the pre-image)Reflect across x=−2
Reflect across x=2
Rotate 90 degrees
Describe the transformation shown in the graph.
(Black shape is the pre-image)Reflect across x=2
Reflect across x=1
Translate 4 units right
Describe the transformation shown in the graph.
(Gray shape is the pre-image)Reflect across x=−2
Reflect across y=−2
Translate 4 units down
Describe the transformation shown in the graph.
(Gray shape is the pre-image)Reflect across the x-axis
Reflect across the y-axis
Translate 4 units down
Which sequence of translations could result in the transformation shown in the graph? Select ALL that apply.
(Black shape is the pre-image)2 units down, 1 unit right
2 units down, 2 units left
1 unit right, 2 units down
1 unit right, 1 unit down
Which sequence of translations could result in the transformation shown in the graph? Select ALL that apply.
(Black shape is the pre-image)2 units down, 1 unit right
2 units down, 2 units left
1 unit right, 2 units down
1 unit right, 1 unit down
What do we call... The original object before geometric transformations.
(Hint: it is usually labeled using prime symbols, such as ABC)
pre-image
original
image
unique
What do we call... The object after geometric transformation(s) have occurred.
(Hint: it is usually labeled using prime symbols, such as A’B’C')
pre-image
original
image
unique
17
289
68
36
144
What is the measure of m<NLO?
40
22
118
74
62
You can prove ABCD is which kind of quadrilateral?
Square
Rhombus
Rectangle
Parallelogram
Quadrilateral LMNO has diagonals LN and MO. Which information is not sufficient to prove LMNO is a parallelogram?
LN and MO bisect each other.
LM = NO and MN = OL
LM=NO and LM || NO
LM = NO and MN || LO
Which of the following are properties of parallelograms?
Opposite sides are parallel and congruent
Opposite angles are congruent
Diagonals are congruent
Consecutive angles are congruent
Diagonals bisect each other
35
55
10
110
Find the measure of angle DCE.
109
15
71
94
40
80
100
120
Given line l is parallel to line m, find the measure of angle A.
70
30
40
10
Which value of y will make k||m?
115
65
5
90
What is the minimum information needed to show congruence through ASA?
C is the midpoint of EB
AB || ED
∠A ≅ ∠D
ED ≅ AB
35
55
10
110
In the diagram of ABCD above, DC is extended to E, and AE is drawn such that AE=AD. If m∠B=124, what is m∠EAD?
124
112
68
56
Which of the following is not a property of all parallelograms?
Opposite sides are congruent
Diagonals bisect each other
Diagonals are congruent
Opposite angles are congruent
m∠ABC = 94°, find m∠CBD.
The triangles above can be shown congruent through which criteria?
SSS
SAS
AAS
ASA
.01
The triangles above can be shown congruent through which criteria?
SSS
SAS
AAS
ASA
Which lines in the proof above contain errors? (Select all that apply)
1
2
3
4
Given ΔABC≅ΔXYZ, which statements are not always true?
BC = YX
m∠A = m∠X
area of ΔABC = area of ΔXYZ
perimeter of ΔABC= perimeter of ΔXYZ
m∠ACB = m∠XYZ
Reflect the shape over the line y = x. Where is A'?
(7, 2)
(-2, 7)
(2, -7)
(-7, -2)
Which would be the correct notation for the composition of transformations from blue to red to green?
<-4,0> then Ry axis
Ry axis then <0, -4>
<0, -4> then Ry axis
Rx axis then Ry axis
A square is a rhombus.
always true
sometimes true
never true
Two properties of a quadrilateral are listed below.
· The quadrilateral always has 4 congruent angles
· The quadrilateral does not always have 4 congruent sides
Which of the following quadrilaterals has both properties?
Parallelogram
Rectangle
Rhombus
Square
Which quadrilateral(s) have congruent diagonals? Select all that apply.
Parallelogram
Rectangle
Rhombus
Square
Solve for x.
If ABCD is a parallelogram, what is the length of BD?
14
12
10
5
If JOSE is a rhombus and the measure of angle ESO is 124, what is the measure of angle SEO?
28
56
62
90
If PN = 2x + 5, ON = x + 3, and OS = 3x - 2. Solve for PS.
7 units
10 units
17 units
19 units
Is this quadrilateral a parallelogram? If so, give a reason.
No
Yes. Opposite sides are parallel
Yes. Opposite sides are congruent
Yes. Opposite angles are congruent
Is the quadrilateral a parallelogram? If yes, state how you know.
Opposite sides parallel
Opposite sides equal
One pair of opposite sides are parallel AND equal
Not enough info
What are the properties of a parallelogram?
Opposite sides are parallel
Diagonals are congruent
Diagonals bisect each other
All sides are congruent
Consecutive angles are supplementary
What are the properties of a rectangle?
Four right angles
Opposite sides are parallel
Opposite sides are congruent
Diagonals bisect each other
Diagonals are congruent
What are the properties of a Rhombus?
All sides are congruent
Diagonals are perpendicular
Opposite angles are congruent
One pair of parallel sides
Consecutive angles are supplementary
Which quadrilateral(s) have opposite sides that are parallel?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have opposite sides that are congruent?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have opposite angles that are congruent?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have diagonals that bisect each other?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have four congruent sides?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have perpendicular diagonals?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have diagonals that bisect opposite angles?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have four right angles?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which quadrilateral(s) have one pair of parallel sides?
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Which of the following statements is false?
Quadrilaterals have four sides.
Squares are quadrilaterals.
All squares are rectangles.
All rectangles are squares.
Trapezoid
A parallelogram _____________
Select all shapes where the sum of the angles is 360o
MNKL is a square. Find the measure of angle MKN.
180 degrees
90 degrees
60 degrees
45 degrees
What are the lengths of LN and KM? Select all that apply.
14
32
48
16
Is this a parallelogram?
Yes, both pairs of opposite sides are parallel
Yes, both pairs of opposite sides are congruent
Yes, both pairs of opposite angles are congruent
Yes, one pair of sides is both congruent and parallel
No
Is this a parallelogram
Yes, both pairs of opposite sides are parallel
Yes, both pairs of opposite sides are congruent
Yes, both pairs of opposite angles are congruent
Yes, one pair of sides is both congruent and parallel
No
Is this a parallelogram
Yes, both pairs of opposite sides are parallel
Yes, both pairs of opposite sides are congruent
Yes, both pairs of opposite angles are congruent
Yes, one pair of sides is both congruent and parallel
Yes, the diagonals bisect each other
Is this a parallelogram
Yes, both pairs of opposite sides are parallel
Yes, both pairs of opposite sides are congruent
Yes, both pairs of opposite angles are congruent
Yes, one pair of sides is both congruent and parallel
No
Find the values of x and y that make the quadrilateral a parallelogram.
x = 4, y = 3
x = 3, y = -2
x = 1, y = 4
x = 3, y = 4
Show that the quadrilateral is a parallelogram. Select all that apply.
All of the angles are congruent.
All of the side lengths are congruent.
The opposite sides are parallel.
The opposite sides are congruent.
Which method will NOT prove the quadrilateral is a parallelogram.
Show that a pair of sides are congruent and parallel.
Show that both pairs of opposite sides are congruent
Show that both pairs of opposite sides are parallel
Show that a pair of sides are parallel
State which method we can use to show that the quadrilateral is a parallelogram.
Both pairs of opposite angles are congruent.
Both pairs of opposite sides are congruent.
Both pairs of diagonals bisect each other.
Both pairs of opposite sides are parallel.
Which is NOT a property of a parallelogram?
Diagonals bisect each other
Diagonals are congruent
Both pairs of opposite sides are parallel
Both pairs of opposite angles are congruent
Determine whether the figure is a parallelogram. If so, state the reason.
Yes, quadrilateral with 2 pairs of opposite sides ≅
Yes, quadrilateral with 2 pairs of opposite angles ≅
Yes, quadrilateral with diagonals bisecting each other
not a parallelogram
Is this a parallelogram? How do we know?
yes,opposite sides are congruent
no we can not prove it is a parallelogram
yes, one pair of sides are congruent and parallel
yes, opposite sides are parallel
yes, diagonals bisect each other
Is the quadrilateral a parallelogram? If yes, state how you know.
Opposite sides parallel
Opposite sides equal
Opposite sides parallel and equal
Not enough info
Is the quadrilateral a parallelogram?
Yes
No
Not enough information.
State which method we can use to show that the quadrilateral is a parallelogram.
Both pairs of opposite angles are congruent.
Both pairs of opposite sides are congruent.
Both pairs of diagonals bisect each other.
Both pairs of opposite sides are parallel.
How long is the side CD?
7
3
35
27
Is there enough information to determine that this quadrilateral is a parallelogram?
yes
no
Find the value of x that makes the quadrilateral a parallelogram.
29
42
78
11
Find the value of x that makes the quadrilateral a parallelogram.
41
12
14
This quadrilateral cannot be a parallelogram.
Find the value of x that makes the quadrilateral a parallelogram.
5
35
75
180
Can you show that this quadrilateral is a parallelogram?
Yes
No
Find the values of x and y that make the quadrilateral a parallelogram.
x=12, y=20
x=12, y=19.2
x=20, y=12
x=30, y=30
If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?
Length of AC = Length of BD, therefore Side AC is congruent to Side BD
Length of AC = Length of BD, therefore Side AC is parallel to Side BD
Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD
The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD
Find k: k+76=4k9
8.6
-3
9.5
4.2
Triangle ABC can be taken to a triangle A'B'C' using rigid motions and a dilation. Select ALL the equations that are true.
B′A′A′C′=BAAC
B′A′B′C′=BCBA
A′C′AC=BAB′A′
C′A′CA=C′B′CB
ABA′B′=CBC′B′
Is line BC parallel to line DE? Choose the best justification.
Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 3 from point A.
Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 2 from point A.
Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 34 from point A.
Line BC is not parallel to line DE because there is no dilation that sends triangle ADE to triangle ABC.
Triangle ABC is similar to triangle EFD. What scale factor is required to dilate triangle ABC so that its image , A'B'C' is congruent to triangle EFD?
3
512
125
31
Reorder the following so that the sequence of transformations takes square EFGH to square ABCD.
Translate square EFGH by directed line segement from point E to point A.
Rotate square EFGH about point A so that point F is collinear with points A & B.
Dilate square EFGH by a scale factor of 25
Select ALL true statements given that angle AED is congruent to angle ABC.
∠ACB=180−x
∠ACB=x
ΔACB∼ΔADE
AD=31AC
AD=21AC
SAS∆~
Not Similar
SSS∆~
AA∆~
Examine the diagram of the two triangles. Choose the facts that would make ΔDEF∼ΔMNL .
MNDE=MLDF
∠D=20°
∠N=100°
∠F=60°
∠D=60°
sin25=cos(x+11)
x=
(a)
Find the length of side W
186.86 m
75.50 m
28.28 m
.01 m
A rope is tied to the bottom of a hot air balloon as shown. The rope makes an angle of 350 with the ground and is 75ft. long. How far is the bottom of the balloon from the ground to the nearest foot?
43 ft.
53 ft.
61 ft.
131 ft.
