Download - Geometry 4
![Page 1: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/1.jpg)
Geometry 4
Level 1
![Page 2: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/2.jpg)
Are the lines parallel?
![Page 3: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/3.jpg)
![Page 4: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/4.jpg)
![Page 5: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/5.jpg)
![Page 6: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/6.jpg)
CorrespondingAngles are equal
![Page 7: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/7.jpg)
Corresponding angles
a
a
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.Corr∠' // s lines
![Page 8: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/8.jpg)
Vertically opposite angles are equal
a
a
a
![Page 9: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/9.jpg)
Alternate angles are equal
a
a
a
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. alt∠' // s lines
![Page 10: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/10.jpg)
Are these lines parallel?
![Page 11: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/11.jpg)
a + c = 180 ( )
€
∠' s on line
![Page 12: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/12.jpg)
a + c = 180 ( )
€
∠' s on line
These must addto 180
![Page 13: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/13.jpg)
a + c = 180 (co-interior angles)
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. coint∠' // s lines
![Page 14: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/14.jpg)
Are these lines parallel?
![Page 15: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/15.jpg)
a
a
a
a
a
b
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. corr∠' // s lines
€
. alt∠' // s lines
€
. coint∠’ // s lines
![Page 16: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/16.jpg)
a
a
b
b
c
c
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. corr∠' // s lines
€
. corr∠' // s lines
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. corr∠' // s lines
![Page 17: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/17.jpg)
aa
b
b
€
. alt∠' // s lines
€
. alt∠' // s lines
![Page 18: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/18.jpg)
a
b
a
b
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. coint∠' // s lines
€
. coint∠’ // s lines
![Page 19: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/19.jpg)
Match the corresponding angles
![Page 20: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/20.jpg)
Match the corresponding angles
![Page 21: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/21.jpg)
Match the corresponding angles
![Page 22: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/22.jpg)
Match the corresponding angles
![Page 23: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/23.jpg)
Match the corresponding angles
![Page 24: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/24.jpg)
Match the alternate angles
![Page 25: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/25.jpg)
Match the alternate angles
![Page 26: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/26.jpg)
Match the alternate angles
![Page 27: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/27.jpg)
Match the co-interior angles
![Page 28: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/28.jpg)
Match the co-interior angles
![Page 29: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/29.jpg)
Match the co-interior angles
![Page 30: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/30.jpg)
Are the lines parallel?
![Page 31: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/31.jpg)
Find all the angles
€
120°
![Page 32: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/32.jpg)
Find all the angles
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120°
€
120°
€
120°
€
120°
€
60°
€
60°
€
60°
€
60°
![Page 33: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/33.jpg)
Find value of x and give the reason
€
50°
€
x
![Page 34: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/34.jpg)
€
50°
€
50°
€
. corr∠' // s lines
![Page 35: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/35.jpg)
Find value of x and give the reason
€
130°
€
x
![Page 36: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/36.jpg)
€
130°
€
130°
€
. corr∠' // s lines
![Page 37: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/37.jpg)
Find value of x and give the reason
€
110°
€
x
![Page 38: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/38.jpg)
€
110°
€
110°
€
. alt∠' // s lines
![Page 39: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/39.jpg)
Find value of x and give the reason
€
55°
€
x
![Page 40: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/40.jpg)
€
55°
€
55°
€
. alt∠' // s lines
![Page 41: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/41.jpg)
Find value of x and give the reason
€
55°
€
x
![Page 42: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/42.jpg)
€
55°
€
125°
€
. coint∠' // s lines
![Page 43: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/43.jpg)
Find x, y, w, u and v and give reasons for your answers.
![Page 44: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/44.jpg)
x = 40, coint ∠’s // lines
![Page 45: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/45.jpg)
y = 20, coint ∠’s // lines
![Page 46: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/46.jpg)
w = 40, alt ∠’s // lines
![Page 47: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/47.jpg)
u = 140, coint ∠’s // lines
![Page 48: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/48.jpg)
u = 28, vert opp. ∠’s
![Page 49: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/49.jpg)
Find the value of y
![Page 50: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/50.jpg)
Corr. ∠’s // lines
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5y−5=90
![Page 51: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/51.jpg)
Corr. ∠’s // lines
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5y−5=90y=19°
![Page 52: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/52.jpg)
Find the values of x and y. Give reasons.
![Page 53: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/53.jpg)
Find the values of x and y. Give reasons.
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6x+14 =9x−10 Corr. ∠’s // lines
Take 6x from each side
![Page 54: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/54.jpg)
Find the values of x and y. Give reasons.
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14 =3x−10 Work backwards
![Page 55: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/55.jpg)
Find the values of x and y. Give reasons.
€
24 =3x8 =x
![Page 56: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/56.jpg)
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
€
⇒ 2y−2=62
![Page 57: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/57.jpg)
Find the values of x and y. Give reasons.
€
2y−2=9x−10
€
⇒ 2y−2=62 ⇒ 2y=64 ⇒ y=32°
![Page 58: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/58.jpg)
Why is AB is parallel to CD?
![Page 59: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/59.jpg)
Find x
![Page 60: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/60.jpg)
If AD is parallel to BC, and AC = CE, find all the other angles.
60
70
![Page 61: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/61.jpg)
Were you right?
60
70
6070
25 25859595
50
110
![Page 62: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/62.jpg)
Find x and y
![Page 63: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/63.jpg)
APR = RPQ = 20,
CQR = RQP, find ∠PRQ
![Page 64: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/64.jpg)
APR = RPQ = 20,
CQR = RQP, find ∠PRQ
€
90°
![Page 65: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/65.jpg)
Find all the angles.
130
![Page 66: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/66.jpg)
Find all the angles.
130
130
![Page 67: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/67.jpg)
Find all the angles.
130
130
50
![Page 68: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/68.jpg)
Find all the angles.
130
130
50
50
![Page 69: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/69.jpg)
Find all the angles.
130
130
50
5040
![Page 70: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/70.jpg)
Find all the angles.
130
130
50
5040
40
![Page 71: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/71.jpg)
Find all the angles.
130
130
50
5040
40 140
140
![Page 72: Geometry 4](https://reader035.vdocuments.net/reader035/viewer/2022062315/568159c4550346895dc715f3/html5/thumbnails/72.jpg)
Find as many angles as you can