Coordinate Geometry Benchmark

How do you prove a quadrilateral is a parallelogram?

• Both pairs of opposite sides are congruent
• Diagonals are congruent
• One pair of opposite sides are congruent 
• Both pairs of opposite sides are congruent and diagonals are congruent

Tags

CCSS.HSG.C.A.3

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

• slope

• distance

• midpoint

• Pythagorean Theorm

Tags

CCSS.6.G.A.3

If I want to prove that a quadrilateral is a square, how many times will you have to use the distance formula?

• 1

• 2

• 3

• 4

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

How do you show the diagonals are congruent?

• Measure them with a ruler
• Use the midpoint formula
• Use the slope formula
• Use the distance formula

Tags

CCSS.HSG.GPE.B.7

What is the slope of the line parallel to y=1/4x+6

• 1/4

• -1/4

• -4

• 4

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

What is the slope of the line perpendicular to y=-2x+1

• -1/2

• 1/2

• -2

• 2

Tags

CCSS.7.G.B.5

Which line is parallel to y=3x+2

• y=-3x+2

• y=3x+6

• y=-1/3x+5

• y=2x+3

Write an equation for a line parallel to
y = 5/4x + 4 through (-4, -3)

• y = 5/4x +2
• y = -5/4x + 2
• y = 2x - 5/4
• y = 3/4x + 2

Tags

CCSS.HSG.GPE.B.5

Find the point P that partitions the line segment AB given the ratio.
A (7, -2) B(4, 0) with the ratio 1:4

• (32/5, -8/5)
• (32/5, 22/5)
• (17/5, 2/5)
• (-13/5, 2/5)

Tags

CCSS.HSG.GPE.B.6

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3. 

• (1,5)
• (3,7)
• (4,4)
• (5,8)

Tags

CCSS.HSG.GPE.B.6