Foundations for Geometry

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Presentation transcript:

Foundations for Geometry Chapter 1 Review Foundations for Geometry

Question 1 A plane containing E, D, and B. A pair of opposite rays Name the following: A plane containing E, D, and B. A pair of opposite rays The intersection of plane N and T The intersection of AC and BD

Question 1 A plane containing E, D, and B. A pair of opposite rays The intersection of plane N and T. The intersection of AC and BD

Question 2 E is between D and F. DE = 3x + 9 EF = 5x – 7 DF = 10x – 22 Find EF.

Question 2 E is between D and F. DE = 3x + 9 EF = 5x – 7 DF = 10x – 22 Find EF.

Question 3 Given: S is the midpoint of TV TS = 4x – 7 SV = 5x – 15 Find: TS, SV, and TV.

Question 3 Given: S is the midpoint of TV TS = 4x – 7 SV = 5x – 15 Find: TS, SV, and TV.

Question 4 Given: LH bisects GK at M. GM = 2x + 6 GK = 24 Find: x

Question 4 Given: LH bisects GK at M. GM = 2x + 6 GK = 24 Find: x

Question 5 If m XTU = 125˚, find the measure of m XTW. What type of angle is STU?

Question 5 If m XTU = 125˚, find the measure of m XTW. What type of angle is STU?

Question 6 BD bisects ABC m ABD = 1 2 𝑥+10 ˚ m DBC = 𝑥+4 ˚ Find m ABC

Question 6 BD bisects ABC m ABD = 1 2 𝑥+10 ˚ m DBC = 𝑥+4 ˚ Find m ABC

Question 7 m WYZ = 2𝑥−5 ˚ m XYW = 3𝑥+10 ˚ Find the value of x.

Question 7 m WYZ = 2𝑥−5 ˚ m XYW = 3𝑥+10 ˚ Find the value of x.

Question 8 If an angle has a measure of 𝑥˚, what is the measure of its complement? Its supplement?

Question 8 If an angle has a measure of 𝑥˚, what is the measure of its complement? Its supplement?

Question 9 The measure of an angle is 6 more than twice the measure of the supplement. Find the measure of the supplement of the angle.

Question 9 The measure of an angle is 6 more than twice the measure of the supplement. Find the measure of the supplement of the angle.

Question 10 The measure of the supplement of an angle is 4 less than 3 times the measure of the complement. Find the measure of the complement.

Question 10 The measure of the supplement of an angle is 4 less than 3 times the measure of the complement. Find the measure of the supplement.

Question 11 A is the midpoint of BC, the midpoint A has coordinates (3, -4) and endpoint C has coordinates (5, -2). Find the coordinates of endpoint B.

Question 11 A is the midpoint of BC, the midpoint A has coordinates (3, -4) and endpoint C has coordinates (5, -2). Find the coordinates of endpoint B.

Find the distance between (3, -4) and (5, -2). Question 12 Find the distance between (3, -4) and (5, -2).

Find the distance between (3, -4) and (5, -2). Question 12 Find the distance between (3, -4) and (5, -2).