Topic 1-3 Midpoint and Distance Formulas Quiz

What is the midpoint formula?

• Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
• Midpoint = (x1 + y1, x2 + y2)
• Midpoint = ((x1 - x2) / 2, (y1 - y2) / 2)
• Midpoint = (x1 + x2, y1 + y2)

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of each segment with the given endpoints: A(–4, 6) and B(10, –10).

(a)  

• (3, -2)
• (-2, 3)
• (0, 0)
• (5, -8)

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of each segment with the given endpoints: C(–3, –8) and D(–6.5, –4.5).

(a)  

• (-4.75, -6.25)
• (-2.25, -6.4)
• (-5.5, -5)
• (-7.35, -4.75)

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of each segment with the given endpoints: E(3, 7) and F(–8, –10).

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of each segment with the given endpoints: G(–6, –13) and H(–6.4, –3.8).

• (-3.2, -5.4)

• (6.2, 8.4)

• (-8.4, -6.2)

• (-6.2, -8.4)

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of each point described in relation to line segment CD: partitions segment CD in the ratio 1:2.

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of each point described in relation to line segment CD: partitions segment CD in the ratio 5:1.

(a)  

• (5.3, 1.3)
• (4.5, 1.5)
• (6.2, 0.8)
• (3.8, 1.7)

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of each point described in relation to line segment CD: 2/3 of the way from C to D.

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of each point described in relation to line segment CD: 1/3 of the way from D to C.

Tags

CCSS.HSG.GPE.B.6

What is the distance formula?

• d = √((x2 - x1)² + (y2 - y1)²)
• d = |x2 - x1| + |y2 - y1|
• d = (x2 - x1) + (y2 - y1)
• d = (x2 + x1)² + (y2 + y1)²

Tags

CCSS.HSG.GPE.B.7