Unit 8 Post-Assessment - Algebra: Concepts & Connections

Triangle KLM has vertices as shown. Which relationship between the slopes of triangle KLM proves that it is a right triangle?

• KL ⊥ KM because the product of the slopes of these segments is -1.

• KL ⊥ LM because the product of the slopes of these segments is -1.

• KL + LM because the sum of the slopes of these segments is less than 1.

• LK + KM because the sum of the slopes of these segments is greater than 1.

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A.GRS.3

A teacher is marking the location for a school field trip on a coordinate grid. The midpoint between the school at (3, 2) and museum at (-1, -6) is calculated to be (1, -2). Where should the endpoint of the field trip be marked?

• (-3, -10)

• (5, 6)

• (2, -4)

• (4, 0)

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A.GSR.3

The city council had a map of the city drawn up, with city hall located at the origin. If they are planning on building another street, perpendicular to Second Street, what would be a possible equation for the new street?

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A.GSR.3

During recess, three friends decide to play a game of catch in a field. If their locations on the field are drawn on a coordinate plane, where the x- and y-values represent the length, in feet, the friends' locations are as follows: Kylie is located (3,5) Jackson is located at (11, -3) Hailey is located at (3, -11). What is the area of the field between the three friends?

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A.GSR.3

Theo is a car salesman. Each month he earns a base salary plus an additional amount per car he sells. This relationship can be described by a linear function. - When he sells 8 cars, he earns a total of $4,300. - When he sells 11 cars, he earns a total of $4,975. Which statement is the best interpretation of the slope of the graph of this function?

• He earns $225.00 for each car he sells

• He earns $537.50 for each car he sells.

• His base monthly salary is $225.00.

• His base monthly salary is $537.50.

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A.GSR.3

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A.GSR.3.1

Myles wants to stop to eat on his way home from the train station. If Myles placed a map of the train station and his house on the coordinate grid, he would find that his favorite restaurant is exactly halfway between the two locations. If Jamie’s house lies at (7,6) and the train station is at (21,24), what are the coordinates of the restaurant?

• (7, 6)

• (28, 30)

• (21, 24)

• (14, 15)

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A.GSR.3.2

• The two lines are perpendicular.

• The two lines are parallel.

• The two lines intersect but are not perpendicular.

• The two lines coincide.

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A.GSR.3.1

Which of the following points is the greatest distance from the origin?

• (1, 6)

• (2, 6)

• (4, 5)

• (5, 1)

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A.GSR.3.2

A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on the graph represents one foot. How many feet of fencing will the homeowner need to build the pen?

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A.GSR.3