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Midterm Review
Collinear: G, H, I
Coplanar: G, H, F or H, I, F
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2x β 13 = x β 3 2x = x β 10
x = 10
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4y + 7 + 9y + 4 = 180
13y + 11 = 180
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13y = 169
y = 13
β π=π π+πβ π=π(ππ)+πβ π=πππ
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3x + 3 = 2x + 9
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2x + 2 = 3x β 63
2x + 20 + 6x + 63 = 180
Alternate Exterior Angles = Congruent
Same-Side Angles = Supplementary
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Step # 1 Find the slopeStep # 2 Point-slopeStep # 3 Solve for y.
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34.
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35.
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Algebra Find the values of the variables.
36.
π π+ππ+π π+π=πππ
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Algebra Find the values of the variables.
37. π π=ππ
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38.
39.
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40.
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41.
42.
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43.
44.
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45.
46.
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47.
48.
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49.
50.
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51.
52.
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Isosceles Triangle = Base angles are
Equilateral Triangle = All angles are 60ΒΊ
y β 10 = 60 x + 5 = 60
53.
54.
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5x = 10(2) 2(x β 8) = 35
Remember the mid-segment is half the base.
55. 56.
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π π=π π+ππ π=π+π
57. 58.
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Opposite to the longest side is the bigger angle.Opposite to the shortest side is the smallest angle.
Opposite to the bigger angle is the longest side.Opposite to the smallest angle is the shortest side .
59.
60.
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Midterm ReviewAre the following the sides of a triangle.61.
ππ+π>πππ>ππππ
πππ
π+π>ππππ>πππππ
π+ππ>πππ>ππππ
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Midterm ReviewAre the following the sides of a triangle.62.
ππ+π>πππ>ππππ
π+π>ππππβ―οΏ½ ππππ
π΅π
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63. The length of two sides of triangle are 8cm and 6 cm. Find the range of possible lengths of the third side.
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π+π>ππ>βπ
π+π>ππ>π
π+π>πππ>π
π<π<ππ
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Midterm ReviewFind the range of possible values for each variable.
64.
ππ>ππ βππππ>ππππ>π
π πβππ>ππ π>πππ>π
π>π>ππ
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Midterm ReviewFind the range of possible values for each variable.
65.
ππ>ππ βπππ>ππππ>π
π πβπ>ππ π>ππ>π
π>π>ππ