Midpoint and Distance in a Coordinate Plane

What is the distance of the point (-3, -4) from x axis 

• 3

• 4

• 7

• 12

What is the distance of the point (3, 4) from the origin?

• 5

• 4

• 6

• 7

The distance between the points A(0 ,6) and B(0 , -2) is _____

• 6

• 4

• 8

• 16

Mid point of line segment joining points (-2 ,4) and (6, 10) is _____

• (2, 5)

• (2 , 7)

• (3 , 7)

• (3, 8)

What formula is shown?

• slope

• distance

• midpoint

• Pythagorean Theorm

What is the midpoint between (-4,4) and (-2,2)?

• (3,2)

• (-3,3)

• (4,5)

• (6,7)

Find the distance between the points:
(5,3) (2,3)

• 3

• 7

• 10

Write a plan for the proof.  Given: G is the midpoint of HF Prove: △GHJ≅△GFO

• Find the coordinates of G using the Midpoint Formula
  Use these coordinates and the Distance formula to show that OG ≅ JG.
  Show that HG≅ FG by the definition of midpoint and ∠HGJ ≅ ∠FGO by the Vertical Angles Congruence Theorem.
  

• Find the coordinates of G using the Distance Formula
  Use these coordinates and the Midpoint formula to show that OG ≅ JG.
  Show that HG≅ FG by the definition of midpoint and ∠HGJ ≅ ∠FGO by the Vertical Angles Congruence Theorem.

• Then, use the SAS Congruence Theorem to conclude that △GHJ ≅ △GFO.

• Then, use the SSS Congruence Theorem to conclude that △GHJ ≅ △GFO.

You and your cousin are camping in the woods. You hike to a point that is 500 meters east and 1200 meters north of the campsite. Your cousin hikes to a point that is 1000 meters east of the campsite.

The distance from you to your cousin is ______ meters.

• 1500

• 1300

• 1200

• 1000

Write a plan for the proof. Given Coordinates of vertices of △OPM and △ONM Prove △OPM and △ONM are isosceles triangles

• Find the lengths of OP, PM, MN, NO and OM to show that △OMP≅△OMN by the SSS Congruence Theorem.

• Find the lengths of OP, PM, MN, and NO to show that OP ≅ PM and MN ≅ NO.