Finding Distance Between Points on the Coordinate Plane

The video tutorial introduces the concept of distance as the length between two points, using examples like a 100-meter dash and GPS navigation. It explains how to find the distance between two endpoints on a coordinate plane using the distance formula, with a detailed example involving line segment AB. The tutorial connects the distance formula to the Pythagorean theorem, illustrating its application in right triangles. Another example demonstrates finding the length of a diagonal in a quadrilateral on the coordinate plane, emphasizing the use of the distance formula and rounding results.

What can be considered as distance?

• The weight of an object

• The speed of an object

• The time it takes to travel from one point to another

• The length between two points

What is NOT a tool for measuring distances on a coordinate plane?

• A calculator

• A ruler

• Graph paper

• The distance formula

Tags

CCSS.HSG.GPE.B.7

How do you calculate the distance between two points on a coordinate plane?

• Using the distance formula

• Estimation

• By counting the grid lines

• Using a physical ruler

Tags

CCSS.HSG.GPE.B.7

What does the distance formula help us find?

• The slope of a line

• The length of a line segment between two points

• The angle between two lines

• The midpoint of a line segment

Tags

CCSS.HSG.GPE.B.7

What are the coordinates of point A in the example?

• (4, -2)

• (7, 4)

• (3, 7)

• (-6, 4)

Tags

CCSS.6.NS.C.6B

What is the length of line segment AB?

• 25 units

• 5 units

• 10 units

• 3 units

Tags

CCSS.HSG.GPE.B.6

What is the result of squaring a negative number?

• A positive number

• The same number

• A negative number

• Zero

Tags

CCSS.5.NBT.A.2

What are the coordinates of point B in the example?

• (-6, 4)

• (4, -2)

• (3, 7)

• (7, 4)

Tags

CCSS.6.NS.C.6B

Which theorem is the distance formula derived from?

• The theorem of corresponding angles

• The Pythagorean theorem

• The theorem of parallel lines

• The midpoint theorem

Tags

CCSS.HSG.GPE.B.7

What is the length of the diagonal WC in the quadrilateral?

• 10 units

• 136 units

• 5 units

• 11.7 units

Tags

CCSS.HSG.GPE.B.7