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Geometry 4. Level 1. Are the lines parallel?. Corresponding Angles are equal. Corresponding angles. a. a. Vertically opposite angles are equal. a. a. a. Alternate angles are equal. a. a. a. Are these lines parallel?. a + c = 180 ( ). a + c = 180 ( ). - PowerPoint PPT Presentation
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Geometry 4
Level 1
Are the lines parallel?
CorrespondingAngles are equal
Corresponding angles
a
a
€
.Corr∠' // s lines
Vertically opposite angles are equal
a
a
a
Alternate angles are equal
a
a
a
€
. alt∠' // s lines
Are these lines parallel?
a + c = 180 ( )
€
∠' s on line
a + c = 180 ( )
€
∠' s on line
These must addto 180
a + c = 180 (co-interior angles)
€
. coint∠' // s lines
Are these lines parallel?
a
a
a
a
a
b
€
. corr∠' // s lines
€
. alt∠' // s lines
€
. coint∠’ // s lines
a
a
b
b
c
c
€
. corr∠' // s lines
€
. corr∠' // s lines
€
. corr∠' // s lines
aa
b
b
€
. alt∠' // s lines
€
. alt∠' // s lines
a
b
a
b
€
. coint∠' // s lines
€
. coint∠’ // s lines
Match the corresponding angles
Match the corresponding angles
Match the corresponding angles
Match the corresponding angles
Match the corresponding angles
Match the alternate angles
Match the alternate angles
Match the alternate angles
Match the co-interior angles
Match the co-interior angles
Match the co-interior angles
Are the lines parallel?
Find all the angles
€
120°
Find all the angles
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120°
€
120°
€
120°
€
120°
€
60°
€
60°
€
60°
€
60°
Find value of x and give the reason
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50°
€
x
€
50°
€
50°
€
. corr∠' // s lines
Find value of x and give the reason
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130°
€
x
€
130°
€
130°
€
. corr∠' // s lines
Find value of x and give the reason
€
110°
€
x
€
110°
€
110°
€
. alt∠' // s lines
Find value of x and give the reason
€
55°
€
x
€
55°
€
55°
€
. alt∠' // s lines
Find value of x and give the reason
€
55°
€
x
€
55°
€
125°
€
. coint∠' // s lines
Find x, y, w, u and v and give reasons for your answers.
x = 40, coint ∠’s // lines
y = 20, coint ∠’s // lines
w = 40, alt ∠’s // lines
u = 140, coint ∠’s // lines
u = 28, vert opp. ∠’s
Find the value of y
Corr. ∠’s // lines
€
5y−5=90
Corr. ∠’s // lines
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5y−5=90y=19°
Find the values of x and y. Give reasons.
Find the values of x and y. Give reasons.
€
6x+14 =9x−10 Corr. ∠’s // lines
Take 6x from each side
Find the values of x and y. Give reasons.
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14 =3x−10 Work backwards
Find the values of x and y. Give reasons.
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24 =3x8 =x
Find the values of x and y. Give reasons.
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2y−2=9x−10 Vert. opp. ∠’s
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x=8
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⇒ 2y−2=62
Find the values of x and y. Give reasons.
€
2y−2=9x−10
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⇒ 2y−2=62 ⇒ 2y=64 ⇒ y=32°
Why is AB is parallel to CD?
Find x
If AD is parallel to BC, and AC = CE, find all the other angles.
60
70
Were you right?
60
70
6070
25 25859595
50
110
Find x and y
APR = RPQ = 20,
CQR = RQP, find ∠PRQ
APR = RPQ = 20,
CQR = RQP, find ∠PRQ
€
90°
Find all the angles.
130
Find all the angles.
130
130
Find all the angles.
130
130
50
Find all the angles.
130
130
50
50
Find all the angles.
130
130
50
5040
Find all the angles.
130
130
50
5040
40
Find all the angles.
130
130
50
5040
40 140
140
Find as many angles as you can
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