Altoona Chapter 2 Geometry

The midpoint of the line segment with endpoints A (-3, -3) and B (1, 5) is at

• (-2, 2)
• (-4, -8)
• (-1, 1)
• (1, -1)

Tags

CCSS.HSG.GPE.B.6

The length of the line segment with endpoints C (-5, 2) and D (1, -4) is

• √20
• √24
• √72
• √80

Tags

CCSS.HSG.GPE.B.7

An equation for the circle with centre (0,0) and radius 4 is

• x² + y²= 2
• x² + y²= 4
• x² + y²= 8
• x² + y²= 16

Tags

CCSS.HSG.GPE.A.1

7) Jason lives exactly halfway between the primary and secondary schools in his neighborhood.  What formula would you use to find out how far apart the schools are?

• √(x₁-x₂₎ + (y₂- y₁)
• √(x₂-x_1)² + (y₂- y₁)²
• (x_{1 +} x₂/2, y₁ + y₂ /2)
• y₂-y₁/x₂-x₁

Tags

CCSS.HSG.GPE.B.6

7b)  What formula would you use to determine the coordinates of Jason's home?

• √(x₁-x₂₎ + (y₂- y₁)
• √(x₂-x_1)² + (y₂- y₁)²
• (x_{1 +} x₂/2, y₁ + y₂ /2)
• y₂-y₁/x₂-x₁

Tags

CCSS.HSG.GPE.B.6

7c & d.  To find the equation that represents all locations equidistant from the two schools, what do you need to find?

• Just the slope of the line between the two schools
• Just the slope of the line between the two schools and it's negative reciprocal
• The perpendicular bisector

Tags

CCSS.HSG.CO.C.9

9b) Is this median also an altitude for this triangle?  Why or why not?  To answer this you need to...

• Just find the slope of the median
• Just find the slope of PQ
• See if the slope of PQ is equal to the slope of the median
• See if the slope of PQ is the negative reciprocal of the slope of the median

Tags

CCSS.HSG.CO.C.10

10 d)  How can you use the equation of this circle (x² + y² = 34) to verify that (3, 5) lies on the circle?

• substitute 3 in for x and 5 in for y and see if you get 34
• substitute 5 in for x and 3 in for y and see if you get 34
• substitute 3 in for x and 5 in for y and see if you get √34
• substitute 5 in for x and 3 in for y and see if you get
  √34

Tags

CCSS.HSG.GPE.A.1