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Collinear: G, H, I

Coplanar: G, H, F or H, I, F

2x – 13 = x – 3 2x = x – 10

x = 10

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4y + 7 + 9y + 4 = 180

13y + 11 = 180

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13y = 169

y = 13

∠𝟐=𝟗 𝒚+𝟒∠𝟐=𝟗(𝟏𝟑)+𝟒∠𝟐=𝟏𝟐𝟏

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3x + 3 = 2x + 9

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2x + 2 = 3x – 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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Midterm Review

34.

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35.

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Algebra Find the values of the variables.

36.

𝟓 𝒙+𝟕𝟒+𝟑 𝒙+𝟐=𝟏𝟖𝟎

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Algebra Find the values of the variables.

37. 𝟐 𝒙=𝟏𝟎

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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 60º

y – 10 = 60 x + 5 = 60

53.

54.

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5x = 10(2) 2(x – 8) = 35

Remember the mid-segment is half the base.

55. 56.

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𝟑 𝒙=𝟐 𝒙+𝟓𝟐 𝒙=𝒙+𝟑

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.

𝟏𝟎+𝟕>𝟓𝟏𝟕>𝟓𝒚𝒆𝒔

𝒀𝒆𝒔

𝟕+𝟓>𝟏𝟎𝟏𝟐>𝟏𝟎𝒚𝒆𝒔

𝟓+𝟏𝟎>𝟕𝟏𝟓>𝟕𝒚𝒆𝒔

Midterm ReviewAre the following the sides of a triangle.62.

𝟏𝟐+𝟖>𝟒𝟏𝟕>𝟓𝒚𝒆𝒔

𝟖+𝟒>𝟏𝟐𝟏𝟐≯� 𝟏𝟐𝒏𝒐

𝑵𝒐

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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𝒙+𝟖>𝟔𝒙>−𝟐

𝒙+𝟔>𝟖𝒙>𝟐

𝟖+𝟓>𝒙𝟏𝟑>𝒙

𝟐<𝒙<𝟏𝟑

Midterm ReviewFind the range of possible values for each variable.

64.

𝟑𝟔>𝟐𝒙 −𝟏𝟔𝟓𝟐>𝟐𝒙𝟐𝟔>𝒙

𝟐 𝒙−𝟏𝟔>𝟎𝟐 𝒙>𝟏𝟔𝒙>𝟖

𝟖>𝒙>𝟐𝟔

Midterm ReviewFind the range of possible values for each variable.

65.

𝟐𝟖>𝟐𝒙 −𝟒𝟑𝟐>𝟐𝒙𝟏𝟔>𝒙

𝟐 𝒙−𝟒>𝟎𝟐 𝒙>𝟒𝒙>𝟐

𝟐>𝒙>𝟏𝟔