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WorksheetsGeometry Midterm Exam Review
Total questions: 120
Worksheet time: 18hrs 53mins
Polynomials:
A (a) is a number multiplied times a variable in an algebraic expression.
Polynomials:
A _____ ____ is a term that contains no variable, it is simply a number on its own.
(a)
Polynomials:
A (a) is a single term or sum of terms with these characteristic:
- all exponents are whole numbers
- coefficients are all real numbers
- no variable appears in a denominator
- no variable appears under a radical
Polynomials:
A polynomial is a single term or sum of terms with these characteristics.
All exponents are whole numbers
Coefficients are all real numbers
No variable appears in a denominator
No variable appears under a radical
Choose the polynomial.
x5 +2x
x4+5x3-7x-3x
7x3+9x-1+x2
32x2+43√x+17
Choose the polynomial written in standard form correctly.
-7x+9-4x2
-4x2-7x+9
9-7x-4x2
-7x-4x2+9
What is the degree of a polynomial?
The HIGHEST exponent in the polynomial.
The LOWEST exponent in the polynomial.
Classify the polynomial by degree:
2
(a)
Classify the polynomial by degree:
2x
(a)
Classify the polynomial by degree:
2x2
(a)
Classify the polynomial by degree:
2x3
(a)
Classify the polynomial by degree:
2x4
(a)
Classify the polynomial by degree:
2x5
(a)
Classify the polynomial by terms:
2x
(a)
Classify the polynomial by terms:
2x+1
(a)
Classify the polynomial by terms:
3x2+2x+1
(a)
Classify the polynomial by terms:
4x3+3x2+2x+1
(a)
Basic Terms & Key Ideas:
A (a) is a specific location. It has no dimension.
Basic Terms & Key Ideas:
A (a) is a connected straight path. It continues forever in 2 directions.
Basic Terms & Key Ideas:
A (a) is a flat surface. It has no thickness and extends forever in all directions.
Basic Terms & Key Ideas:
(a) points are points that lie on the same line.
Basic Terms & Key Ideas:
(a) points are points that lie on the same plane.
Polynomials:
Solve x2+2x-7 + x3-2x+9
x3+x2+2
2x3-x2-5x+27
-2x3-10x2-4x+18
Polynomials:
Solve x3-x2-3x+18 + 2x3+10x-x-4
-2x3-10x2-4x+18
2x3-x2-5x+27
4x3-10x2-1466
Polynomials:
Solve 3x3-5x+29 + x3-10x2-9x+37
4x3-10x2-14x+66
x3+x2+2
2x3-x2-5x+27
Polynomials:
Combine all like terms, write polynomial in standard form, classify, and identify leading coefficient and constant term.
17x3+9x-5
Cubic
Trinomial
17
-5
17x3+9x-5
Quartic
Polynomial
17
-5
17x3+9x-5
Quartic
Trinomial
17
9
17x3+10x-6
Cubic
Trinomial
17
-6
Triangles:
Find the value of x.
x=35
x=37
x=12
x=24
Triangles:
Find the value of x.
x=24
x=14
x=13.75
x=6
Triangles:
Find the value of x.
x=233
x=65
x=55
x=152
Triangles:
Find the value of x.
x=59
x=24
x=46
x=34
Triangles:
Find the value of x.
x=35
x=45.5
x=89
x=22
Triangles:
FInd the value of x.
x=76
x=12
x=2
x=23
Triangles:
Find the value of x.
x=116
x=127
x=89
x=64
Triangles:
Find the values of x, y, and z.
x=119
y=61
z=120
x=119
y=61
z=119
z=121
y=62
z=119
z=191
y=16
z=191
Lines:
A (a) is a line that crosses through two or more other lines.
Angle Names and Properties:
Corresponding Angles are congruent.
True
False
Angle Names and Properties:
Alternate interior angles are congruent.
True
False
Angle Names and Properties:
Alternate exterior angles are not congruent.
True
False
Angle Names and Properties:
Consecutive interior angles are supplementary.
True
False
Name ∠3 and ∠6
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Name ∠6 and ∠8
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Linear Pair
Name ∠1 and ∠5
Linear Paire
Corresponding Angles
Alternate Exterior
Alternate Interior
Name ∠1 and ∠6
Vertical Angles
Linear Pair
Corresponding Angles
Alternate Exterior
Find the measure of the remaining angles.
m∠1= 72°
m∠2= 108°
m∠3= 108°
m∠4= 72°
m∠5= 108°
m∠6= 108°
m∠7= 72°
m∠1= 108°
m∠2= 72°
m∠3= 108°
m∠4= 72°
m∠5= 72°
m∠6= 108°
m∠7= 72°
Lines j and l are parallel. Use the given info to answer each question.
m∠7 = 117°
m∠8 = 31°
m∠6 = 60°
m∠2 = 101°
m∠5 = 157°
m∠2 = 126°
m∠7 = 117°
m∠8 = 117°
m∠6 = 60°
m∠2 = 101°
m∠5 = 60°
m∠2 = 126°
This is the correct equation for slope.
True
False
This is the correct equation for distance.
True
False
What is the slope of A (3, 5) and B (7, 6)?
1/2
4
What is the slope of B (7, 6) and C (6, 2)?
4
1/4
1/2
What is the slope of A (3, 5) and D (2, 1)?
4
1/4
1/2
What is the distance between A (3, 5) and B (7, 6)?
4.1
4
5.2
What is the distance between A (1, 1) and B (5, 4)?
(a)
What is the distance between B (5, 4) and C (7, 2)?
(a)
Which is true about a rhombus?
4 congruent sides
Diagonals are perpindicular
Diagonals bisect opposite angles
All of the above
Opposite sides are congruent and parallel, corner angles are perpindicular.
What shape is this?
Rectangle
Rhombus
Square
Parallelogram
Opposite sides are parallel and congruent, diagonals bisect.
What shape is this?
Square
Rectange
Rhombus
Parallelogram
If AB = 7 and DC = 31, find EF
(a)
If AB = 41 and EF = 47, find DC.
53
47.2
41
94
Find x.
10
12
24
6
Find x.
2
13
16
22
Find KJ.
35
6
25
19
True or False: These describe a parallelogram.
Opposite sides are congruent.
Opposite angles are congruent.
Consecutive angles are supplementary.
Diagonals bisect eachother.
True
False
Solve for x.
(a)
Find YZ.
(a)
(a)
What is the formula to translate horizontally?
R (x, y) → (x + #, y)
L (x, y) → (x - #, y)
R (x, y) → (x - #, y)
L (x, y) → (x + #, y)
R (x, y) → (x + #, y)
L (x, y) → (x + #, y)
R (x, y) → (x - #, y)
L (x, y) → (x - #, y)
What are the formulas to translate vertically?
Up (x, y) → (x, y + #)
Down (x, y) → (x, y - #)
Up (x, y) → (x, y - #)
Down (x, y) → (x, y - #)
Up (x, y) → (x, y + #)
Down (x, y) → (x, y + #)
Up (x, y) → (x, y - #)
Down (x, y) → (x, y + #)
What are the formulas to reflect?
Y-axis (x, y) → (-x, y)
X-axis (x, y) → (x, -y)
Y-axis (x, y) → (x, -y)
X-axis (x, y) → (x, -y)
Y-axis (x, y) → (x, -y)
X-axis (x, y) → (-x, y)
Y-axis (x, y) → (-x, y)
X-axis (x, y) → (-x, y)
What are the formulas to reflect across line y = x and y= -x
Across line y=x (x, y) → (y, x)
Across line y=-x (x, y) → (-y, -x)
Across line y=x (x, y) → (-y, -x)
Across line y=-x (x, y) → (-y, -x)
Across line y=x (x, y) → (-y, -x)
Across line y=-x (x, y) → (y, x)
What is the formula to rotate 90° CW (270° CCW)?
(x, y) → (y, -x)
(x, y) → (-y, -x)
(x, y) → (-y, x)
What is the formula to rotate 90° CCW (270° CW)?
(x, y) → (-y, x)
(x, y) → (y, x)
(x, y) → (y, -x)
This is the correct formula to rotate 180°:
(x, y) → (-x, -y)
True
False
Rotate the polygon 180°, then reflect the image in the y-axis.
A (-4, -4)
B (-2, -4)
C (-1, -1)
D (-3, -1)
A (-4, 4)
B (3, -4)
C (1, 1)
D (-4, 2)
Reflect across the line y = x, reflect across the y-axis, and rotate 90° counterclockwise about the origin.
A (-2, -4)
B (-1, 2)
C (-3, -2)
D (-7, -2)
A (-3, -4)
B (-1, 4)
C (3, -2)
D (-8, 2)
Is the triangle congruent? If so, why?
Yes
HL
No
∠A is congruent to ∠T
All right angles are congruent
Reflexive
Definition of a right triangle
Line MH id congruent to line MH.
Reflexive
All right angles are congruent
HL
CPCTC
Triangle MAH and triangle HTM are right angles
Definition of a right triangle
Given
All right triangles are congruent
HL
Triangle MAH is congruent to triangle HTM
HL
CPCTC
Reflexive
Given
Angle MHA is congruent to angle HMT
CPCTC
HL
Reflexive
Definition of a right triangle
Find m∠Y.
53°
48°
90°
60°
Find a.
3
15
13
53
Find m∠E.
58°
4°
36°
86°
Find m∠A.
36°
86°
58°
5°
Find x.
4
8
9
23
Find y.
8
4
5
9
Find x.
12
9
32
22
Find x.
19
16
20
5
Determine if line ST is parallel to line PR.
Yes
No
Find x.
11
120
60
52.2
If the figures below are similar with a scale factor of 2:3, find the value of x.
63
126
42
2
If PQRS ~ WXYZ, find the value of x.
Hint: 2nd method
60
2100
40
32
Find the length of each side.
8, 32, 36
10, 22, 34
32, 8, 16
Solve.
x = 5.1
19
78
5.4
Find x.
x = 8
x = -4.5
x = 9
x = 5
x = -5
x = 10
Find x.
x = 9.8
12
8
Find x.
x = 44.7
900
30
What method is this?
T method
V method
What method is this?
V method
T method
Find x.
25
624
26
24
Find x.
x = 7.7
60
12
5
Find x, y, and z.
x = 3.2
y = 21.5
z = 8.6
x = 3
y = 22.5
z = 8.6
x = 8
y = 21.5
z = 9
Find x, y, and z.
x = 30.4
y = 12.4
z = 13.9
x = 31
y = 13
z = 12
x = 12.4
y = 12.4
z = 22.9
Find x and y.
x = 3
y = 3√2
x = 3√2
y = 3
x = 2√2
y = 3
Find x and y.
x = 10
y = 10
x = 10
y = 10√2
x = 10√2
y = 10
What is the question mark?
Divide by √3
Multiply by √3
What is the question mark?
Divide by 2.
Multiply by 2
What is the question mark?
Multiply by √3.
Divide by √3.
What is the question mark?
Multiply by 2.
Divide by 2.
Find x and y.
x = 4√6
y = 8√2
x = 8√2
y = 4√6
x = 4√2
y = 8
Find x and y.
x = 4√3
y = 8√3
x = 12√3
y = 8√3
x = 4√3
y = 8√6
Find x and y.
x = 7√3
y = 14
x = 7√2
y = 6
x = 14√3
y = 12
Find x and y.
x = 10√3
y = 10
x = 10
y = 10
x = 10
y = 10√3
Find x.
x = 7.3
x = 16
x = 7
x = 8
Find x.
x = 11
x = 27
x = 11.5
x = 5
Find x.
x = 12.8
x = 54
x = 13
x = 14.4
What is the ordered pair at 90°?
(0, 1)
(1, 0)
(0, -1)
(-1, 0)
What is the radian at 300°?
5π/3
5π/4
6π/3
5π/6
(√3/2, 1/2) is the ordered pair at 30°.
True
False
Find the radian at 270°.
3π/2
3π/3
2π/2
2π/3
