Unit 5 Review Game

The Rules Goal: To get the most points by collecting cards that add up to 15 Black = Positive numbers Red = Negative Numbers Aces are worth 1 Jacks, Queens, and Kings are worth 10 How to Play: A question and 1 card per group will be put on the board. When each group finishes the problem, they will send their runner to the front to get it checked. If it is correct, they get a card. If it is incorrect, the runner must return to his/her team to solve the problem again. The round cannot end until every group has the correct answer. Once a group has cards that add up to 15, the runner must bring them up to claim the team’s point.

Question A Given the figure, m∠8=52˚, determine the m∠4 and provide the theorem or postulate you used. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

52˚ Alternate Interior Angles Theorem Answer: Question A 52˚ Alternate Interior Angles Theorem Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question B Caroline draws line segment LM with coordinates of L(-5,2) and M(1,7). She translates the line segment 7 units right. She names this line segment L'M'. Identify the new coordinates of 𝐿 ′ and 𝑀′. Describe how a horizontal translation changes the coordinates of the endpoints. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question B L’(2, 2) & M’(8, 7) Horizontal translations change the x-value by adding (right) or subtracting (left) the translation Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question C Calculate the midpoint of a line segment with the endpoints (19,7) and (3,15). Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question C (11, 11) Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question D Marcos bisects angle ABC. He labels a point on the bisector as D. Angle ABC is 82˚. What is the measure of angles ABD and DBC? Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question D 41˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question E In the figure, line a is parallel to line b and m∠2=84˚. Determine the m∠3 and provide the postulate or theorems used. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

96˚ Same Side Interior Angles Theorem Answer: Question E 96˚ Same Side Interior Angles Theorem Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

The measure of angle 𝑈 is 47˚. Question F The measure of angle 𝑈 is 47˚. What is the measure of an angle that is complementary to ∠𝑈? What is the measure of an angle that is supplementary to ∠𝑈? Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question F 43˚ & 133˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question G In the figure, line a is parallel to line b and 𝑚∠1=107˚. Determine the 𝑚∠5 and provide the postulate or theorems used. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

107˚ Alternate Exterior Angles Theorem Answer: Question G 107˚ Alternate Exterior Angles Theorem Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Find the value of x and the measurement of all of the angles. Question H Find the value of x and the measurement of all of the angles. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

x = 12 48˚, 77˚, 55˚ Answer: Question H Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Find the measurement of the missing leg length. Question I Find the measurement of the missing leg length. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question I 2√55 Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Determine the distance between points (11,-9) & (-7, 5). Question J Determine the distance between points (11,-9) & (-7, 5). Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question J 2√130 Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Solve for x and find the measure of the exterior angle. Question K Solve for x and find the measure of the exterior angle. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question K x = 7 83˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question L Given the figure, m∠4=73˚, determine the m∠3 and provide the theorem or postulate you used. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

107˚ Same Side Interior Angles Theorem Answer: Question L 107˚ Same Side Interior Angles Theorem Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question M Calculate the midpoint of a line segment with the endpoints (-7, 4) and (13,12). Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question M (3, 8) Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question N Tim draws line segment 𝑅𝑆 with coordinates of 𝑅(3, 7) and 𝑆 8, 1 . He translates the line segment 2 units down. He names this line segment 𝑅′𝑆′. Identify the new coordinates of 𝑅 ′ and 𝑆′. Describe how a vertical translation changes the coordinates of the endpoints. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question N R’(3, 5) & S’(8, -1) Vertical translations change the y-value by adding (up) or subtracting (down) the translation Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

The measure of angle 𝑊 is 36˚. Question O The measure of angle 𝑊 is 36˚. What is the measure of an angle that is complementary to ∠𝑊? What is the measure of an angle that is supplementary to ∠𝑊? Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question O 54˚ & 144˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question P Julie bisects angle KLM. She labels a point on the bisector as N. Angle KLN is 37˚. What is the measure of angle KLM? Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question P 74˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Determine the distance between points (-7,-3) & (6,-12). Question Q Determine the distance between points (-7,-3) & (6,-12). Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question Q 5√10 Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question R In the figure, line a is parallel to line b and m∠5 = 98˚. Determine the m∠7 and provide the postulate or theorems used. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

98˚ Corresponding Angles Postulate Answer: Question R 98˚ Corresponding Angles Postulate Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Solve for x and find the measure of the exterior angle. Question S Solve for x and find the measure of the exterior angle. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question S x = 9 132˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Find the measurement of the missing leg length. Question T Find the measurement of the missing leg length. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question T 3√5 Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Find the value of x and the measurement of all of the angles. Question U Find the value of x and the measurement of all of the angles. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

x = 11 9˚, 25˚, 146˚ Answer: Question U Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Find the measurement of the missing leg length. Question V Find the measurement of the missing leg length. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question V √29 Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Solve for x and find the measure of the exterior angle. Question W Solve for x and find the measure of the exterior angle. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question W x = 7 107˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Determine the distance between points (-1, -15) & (6, 4). Question X Determine the distance between points (-1, -15) & (6, 4). Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question X √410 Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Find the value of x and the measurement of all of the angles. Question Y Find the value of x and the measurement of all of the angles. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

x = 9 58˚, 90˚, 32˚ Answer: Question Y Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question Z Calculate the midpoint of a line segment with the endpoints (5, -8) and (-21, 14). Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question Z (-8, 3) Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

The measure of angle 𝑃 is 71˚. Question AA The measure of angle 𝑃 is 71˚. What is the measure of an angle that is complementary to ∠𝑃? What is the measure of an angle that is supplementary to ∠𝑃? Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

19˚ & 109˚ Answer: Question AA Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question AB Janet bisects angle PQR. She labels a point on the bisector as S. Angle PQR is 146˚. What is the measure of angles PQS and SQR? Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question AB 73˚ Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question AC Given the figure, m∠1=117˚, determine the m∠7 and provide the theorem or postulate you used. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

117˚ Corresponding Angles Postulate Answer: Question AC 117˚ Corresponding Angles Postulate Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Question AD Daryl draws line segment DE with coordinates of D(-6,2) and E(-3,4). He translates the line segment 5 units up and 4 units right. He names this line segment D'E'. Identify the new coordinates of 𝐷 ′ and 𝐸′. Describe how a vertical translation and a horizontal translation change the coordinates of the endpoints. Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10

Answer: Question AD D’(-2, 7) & E’(1, 9) Horizontal translations change the x-value by adding (right) or subtracting (left), while vertical translations change the y- value by adding (up) or subtracting (down) Black = Positive numbers; Red = Negative Numbers; Ace = 1; Jack = 10; Queen = 10; King = 10