Finding Midpoint & Distance in the Coordinate Plane - GEOMETRY 1.6

The video tutorial covers the basics of the coordinate plane, explaining the x and y axes. It introduces the midpoint formula, demonstrating how to find the midpoint of a line segment with examples. The distance formula is also explained, showing how to calculate the distance between two points. The Pythagorean theorem is introduced, focusing on right triangles and the hypotenuse. Finally, the video explains how to find a missing endpoint when given a midpoint and one endpoint.

What is the primary purpose of the coordinate plane in geometry?

• To measure angles

• To determine volume

• To plot points and lines

• To calculate areas

Which formula is used to find the midpoint of a line segment?

• Slope formula

• Area formula

• Midpoint formula

• Distance formula

If you have points (4, 6) and (-2, -3), what is the x-coordinate of the midpoint?

• 3

• 1

• 0

• 2

What is the y-coordinate of the midpoint between points (4, 6) and (-2, -3)?

• 1.5

• 3.5

• 4.5

• 2.5

Which formula helps in calculating the distance between two points on a plane?

• Midpoint formula

• Distance formula

• Slope formula

• Quadratic formula

What is the result of squaring a negative number?

• A negative number

• Zero

• A positive number

• An imaginary number

In a right triangle, what is the side opposite the right angle called?

• Height

• Base

• Leg

• Hypotenuse

Which theorem is used to relate the sides of a right triangle?

• Area theorem

• Pythagorean theorem

• Distance theorem

• Midpoint theorem

If the midpoint of a line segment is (7, -9) and one endpoint is (-3, 5), what is the x-coordinate of the other endpoint?

• 17

• 10

• 14

• 20

Given the midpoint (7, -9) and one endpoint (-3, 5), what is the y-coordinate of the other endpoint?

• -18

• -14

• -23

• -20