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Semester 2 Final Per 6 (Due 6/4/24)

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Last updated about 2 hours ago
21 questions
Required
20
Required
20
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20
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20
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30
Required
20
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8
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8
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21
Required
10
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20
Required
20
Required
10
Required
30
Required
20
Required
9
20
Required
20
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20
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20
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20
Question 1
1.

Solving Quadratics by Factoring


Solve this standard form quadratic expression.

Solution 1_______
Solution 2 _______
Question 2
2.

Imaginary Numbers


Solve using the square roots method. Write the answer in simplest form.

Solution 1_______
Solution 2 _______
Question 3
3.

Solving Equations by Taking Square Roots

Solve this quadratic equation by taking the square root.

Solution 1:_______
Solution 2:_______
Question 4
4.

Completing the Square


Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Solution 1:_______
Solution 2:_______
Question 5
5.

Using the Quadratic Formula


Solve this Quadratic Equation:
a=_______
b=_______
c=_______

Solution 1:_______
Solution 2:_______
Question 6
6.

Angle Basics


If m∠DEG = (10x – 7)°, m∠GEF = (16y – 7)°, m∠FEH = 43°, find the values of x and y.


x=_______

y=_______
Question 7
7.
Angles Formed by Parallel Lines

Name the angle relationship between the two indicated angles in the diagram:


These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________. If these lines were parallel then the indicated angles are__________
Question 8
8.
Angles Formed by Parallel Lines

Name the angle relationship between the two indicated angles in the diagram:


These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________. If these lines were parallel then the indicated angles are__________
Question 9
9.

Using Parallel Lines


If m∠1 = 57°, find each measure.



m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠6=_______
m∠7=_______
m∠8=_______
Question 10
10.
Given the 2 lines are cut by a transversal and are parallel:

Solve for x
x=_______




Question 11
11.

Interior and Exterior Angles of Polygons

Find the measures of the angles in each polygon.

13-gon

Sum of the interior angles
_______ degrees
Each interior angle is _______
Sum of the exterior angles
_______ degrees
Each exterior angle is_______


Question 12
12.
Find the values of x, y and z.

x=_______
y=_______
z=_______
Question 13
13.

Angles of a Triangle


Find the value:

x=_______



Question 14
14.

Dilations



Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
M': _______
N': _______
O': _______
P': _______
Question 15
15.

Triangle Proportionality


If △TLY~△CHK

x=_______

LY=_______
Question 16
16.

Trigonometric Functions


Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.

sin θ=_______
cos θ=_______
tan θ=_______
Question 17
17.

Properties of Parallelograms


▱JKLM is a parallelogram.

Solve for x.
_______
What is the length of KL?
_______

Question 18
18.

Rectangles

▱JKLM is a rectangle.

x=_______
m∠ABE=_______


Question 19
19.

Rhombi

If each quadrilateral below is a rhombus, use the given information to find the missing measures.

x=_______
Do not for get to use the degree symbol in your answers. ( ° )

m∠WZX=_______

WZ=_______
VY=_______



Question 20
20.

Squares


If the quadrilateral below is a square, solve for x and find the missing measures.



x=_______

Do not forget to use the degree symbol in your answers. ( ° )
m∠RQT=_______
m∠PTQ=_______
Question 21
21.

Midsegments of Trapezoid


Find ML.



x=_______
ML=_______