Mid Term Review A

Mid Term Review A

Multiple Select

Select all equations that are perpendicular to the line

𝑦−5=3(𝑥−2)

• 𝑥−3𝑥=6

• 3𝑥+𝑦=6

• 2𝑥+6𝑦=1

• 𝑥+3𝑦=6

• 6𝑥+3𝑦=1

Open Ended

What is the equation of a line perpendicular to the line represents by the equation 𝑦=−13𝑥−6 and passing through the point (−2,3)?

Multiple Choice

The equation of line 𝑚 is 𝑦=7/3𝑥 and the equation of line 𝑛 is 7𝑥+3𝑦=−6. Are the lines_______?

• parallel

• perpendicular

• the same lines

• intersecting lines but not perpendicular?

Open Ended

What is the equation of a line parallel to the line

𝑦=−4𝑥+5 and passing through the point (4,−3)?

Open Ended

A line segment 𝑃𝑄̅̅̅̅ with endpoints 𝑃(−2,4) and 𝑄(7,−2) is partitioned from 𝑃 to 𝑄 into a 1:2 ratio at point 𝑅. What are the coordinates of 𝑅?

Open Ended

Point 𝐶 is drawn on the line segment so that the ratio of 𝐴𝐶̅̅̅̅ to 𝐶𝐵̅̅̅̅ is 3:2. What are the coordinates of point 𝐶?

^

Multiple Choice

Suppose you want to create a perpendicular bisector to the line segment 𝐴𝐵 shown. What is your first step?

• Create an arc from 𝐴 with radius just over halfway on the line segment.

• Redraw the line segment 𝐴𝐵.

• Draw a point 𝐶 and connect it to points 𝐴 and 𝐵 to create a triangle.

• Draw two small circles around A and 𝐵.

Multiple Choice

What is the first step in constructing the angle bisector of angle A?

• Labeling the vertex point 𝐴 on the vertex on the original angle, drawing a straight line and putting a point labeled 𝐴 on the copy.

• Opening the compass to a random angle and drawing an arc through the original angle.

• Labeling points 𝐵 and 𝐶 on the original angle before drawing an arc with the compass through them.

• Using a straight edge to measure a random length from point 𝐴 on the original angle.

Open Ended

A line segment 𝐹𝐺̅̅̅̅ is partitioned from 𝐹(1,4) to 𝐺 in a 1/2 ratio at point 𝐻(2,6). What are the coordinates of point 𝐺?