Yearlong M1 Unit 4 Practice

Three vertices of quadrilateral ABCD are A(-4,3), B(-1,5), and D(4,-1). In order for ABCD to be a parallelogram, what must be the coordinates of point C?

• (-1,-7)

• (1.5,2)

• (2,-4)

• (7,1)

The midpoint of a line segment is (–3, 4). The endpoints of the line segment are (x, 9) and (–4, –1). What is the value of x?

• -7/2

• -1/2

• -2

• -10

The line 3x + y = 2 is ____________________the line 6x + 2y = 14.

• parallel to

• perpendicular to

• identical to

• neither parallel nor perpendicular to

Point P(5, 7) and Q(–4, –5) are the endpoints of a diameter of a circle. What are the coordinates of point O, the center of the circle?

• (-4.5,-6)

• (1,2)

• (0.5,1)

• (0.5,-1)

The vertices of quadrilateral RSTU are located at R(–3, 4), S(1, 6), T(2, 3), andU(–2, 1). Which best describes quadrilateralRSTU?

• square with side length 4.47

• square with side length 3.16

• rectangle with side lengths 4.47 and 3.16

• rectangle with side lengths 4.47 and 2.83

When graphed on a coordinate plane, Main Street runs from (–3, 8) to (7, –2). Contractors are designing a sidewalk that will run parallel to Main Street through the ordered pair (6, 4). Which is an equation of the line that would represent the sidewalk?

• y = –x + 10

• y = –x + 5

• y = –x – 2

• y = x – 2

A line segment has the endpoints at X(–6, 7) and Y(4, 9). Which coordinates are endpoints for a line segment perpendicular to XY?

• (3, 10) and (4, 5)

• (2, 7) and (1, 2)

• (1, 3) and (6, 4)

• (12, 3) and (7, 4)

A map is drawn on a coordinate grid. The post office is located at (–1, 4) and a school is located at (–5, 6). A bus stop is located halfway between the post office and the school. Where is the bus stop located on the map?

• (–1.5, 0.5)

• (–2, 1)

• (–3, 5)

• (–6, 10)

Line segment FG has a midpoint of (–3, 18). Point F is located at (–16, 14). What are the coordinates of point G?

• (13, 4)

• (10, 22)

• (–9.5, 16)

• (–29, 10)

When graphed on a coordinate plane, Main Street runs from (8, 11) to (4, 16). Oak Street runs perpendicular to Main Street and passes through (8, 12). Which equation represents Oak Street?

• y = -5/4x + 9

• y = ⅘x + 5⅗

• y = -⅘x + 5⅗

• y = 5/4x + 9