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6.3Parallel Lines
and Angles
6.4 Triangle Sum Theorem
6.5 Isosceles Triangles
6.6Parallelograms
Secondary Math 2 6.1/6.2Angles Pairs
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Credits
6.7Special
Parallelograms
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400
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600
6.1/6.2 - 100
Answer
Solve for x:
5x60
6.1/6.2 - 200
Answer
If <1 and <2 form a linear pair and m<2=96°, find m<1.
6.1/6.2 - 300
Answer
(4x)(5x – 27)
Solve for x:
6.1/6.2 - 400
Answer
Solve for x:
6.1/6.2 - 500
Answer
Given the angles are complementary, find mA, if mA = (7x + 4) and mB = (4x + 9).
6.1/6.2 - 600
Answer
Two angles are supplementary. One angle is 3 times bigger than the other. Find the measure of each angle.
6.1/6.2 - 100 Answer
Answer: x = 12
Solve for x:
5x60
6.1/6.2 - 200 Answer
Answer: 84º
If <1 and <2 form a linear pair and m<2=96°, find m<1.
6.1/6.2 - 300 Answer
Answer: x = 23
(4x)(5x – 27)
Solve for x:
6.1/6.2 - 400 Answer
Answer: x = 9
Solve for x:
6.1/6.2 - 500 Answer
Answer: 53º
Given the angles are complementary, find mA, if mA = (7x + 4) and mB = (4x + 9).
6.1/6.2- 600 Answer
Answer: 45° and 135°
Two angles are supplementary. One angle is 3 times bigger than the other. Find the measure of each angle.
6.3 - 100
Answer
1 2
3 4
5 6
7 8
What kind of angles are <6 and <3?
6.3 - 200
Answer
1 2
3 4
5 6
7 8
What kind of angles are <1and <5?
6.3 - 300
Answer
6.3 - 400
Answer
a
b
Find x so that a is parallel to b.
x
115°
6.3 - 500
Answer
a
b
Find x so that a is parallel to b.
3x105°
6.3 - 600
Answer
a
b
Find x so that a is parallel to b.
8x + 4
14x – 2
6.3 - 100 Answer
Answer: Alternate Interior Angles
1 2
3 4
5 6
7 8
What kind of angles are <6 and <3?
6.3 - 200 Answer
Answer: Corresponding Angles
1 2
3 4
5 6
7 8
What kind of angles are <1and <5?
6.3 - 300 Answer
Answer: x = 20
6.3 - 400 Answer
Answer: x = 65
a
b
Find x so that a is parallel to b.
x
115°
6.3 - 500 Answer
Answer: x = 35
a
b
Find x so that a is parallel to b.
3x105°
6.3 - 600 Answer
Answer: x = 1
a
b
Find x so that a is parallel to b.
8x + 4
14x – 2
Answer
Classify the triangle below using sides and angles:
Answer
Solve for x:
50
70
x
Answer
Solve for x:
Answer
x
(2x +21)
Solve for x:
Answer
Solve for x.
Answer
Solve for x:
Answer: right and scalene
Classify the triangle below using sides and angles:
Answer: 60°
Solve for x:
50
70
x
Answer: x = 58
Solve for x:
Answer: x = 23
x
(2x +21)
Solve for x:
Answer: x = 51
Solve for x.
Answer: x = 40
Solve for x:
6.5 – 100
Answer
Find the value of x:
6.5 - 200
Answer
Find the value of x:
6.5 – 300
Answer
If the vertex of an isosceles triangle is 30º, what is the measure of one of the base angles?
6.5 - 400
Answer
If one base angle of an isosceles triangle is 30º, what is the measure of one of the vertex angle?
6.5 - 500
Answer
Given that ∆ABC is isosceles with AC BC , solve for x.
6x 2x+12
5x+8 A B
C
6.5 - 600
Answer
Given <D = <F, find the value(s) of x:
6.5 - 100 Answer
Answer: 7
Find the value of x:
6.5 - 200 Answer
Answer: 75°
6.5 - 300 Answer
Answer: 75º
If the vertex of an isosceles triangle is 30º, what is the measure of one of the base angles?
6.5 - 400 Answer
Answer: 120º
If one base angle of an isosceles triangle is 30º, what is the measure of one of the vertex angle?
6.5 - 500 Answer
Answer: x = 3
Given that ∆ABC is isosceles with AC BC , solve for x.
6x 2x+12
5x+8 A B
C
6.5 - 600 Answer
Answer: x = 10 or 1
Answer
The opposite sides of a parallelogram are __________ and __________.
Answer
A B
CD
M
Given parallelogram ABCD, if AM = 8in find AC.
Answer
Solve for x and y.
70
x
y
Answer
A B
CD
M
In parallelogram ABCD, DB = 20 cm, find DM.
Answer
A B
CD
M
In parallelogram ABCD if <MCD = 42° and <MCB = 68° find m<ABC.
Answer
Determine if the quadrilateral is a parallelogram. Support your answer.
70°
110°
Answer: parallel and congruent
The opposite sides of a parallelogram are __________ and __________.
Answer : 16
A B
CD
M
Given parallelogram ABCD, if AM = 8in find AC.
Answer: x = 70, y = 110
Solve for x and y.
70
x
y
Answer: 10
A B
CD
M
In parallelogram ABCD, DB = 20 cm, find DM.
Answer: 70°
A B
CD
M
In parallelogram ABCD if <MCD = 42° and <MCB = 68° find m<ABC.
Answer: NO, one pair of opposite side is parallel while the other pair is congruent. This does not prove the quadrilateral is a parallelogram.
Determine if the quadrilateral is a parallelogram. Support your answer.
70°
110°
6.7 – 100
Answer
Identify the parallelogram as a rectangle, rhombus, square, or none of these.
6.7 – 200
Answer
6.7 – 300
Answer
Given ABCD is a rectangle, if AC = 16 find BD.
A B
CD
6.7 – 400
Answer
Given WXYZ is a rhombus, solve for a.
W
X
Y
Z
3a
6.7 -500
Answer
T U
VW
O
If TU = 22 find the perimeter of rhombus TUVW
6.7 - 600
Answer
If 5 5AG x and 11DG x find BD
6.7 -100 Answer
Answer: rhombus
Identify the parallelogram as a rectangle, rhombus, square, or none of these.
6.7 - 200 Answer
Answer: 5 2
6.7 - 300 Answer
Answer: 16
6.7 – 400 Answer
Answer: 30
6.7 – 500 Answer
Answer: 88
6.7 – 600 Answer
Answer: 30
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