Understanding Slopes in Geometry

This video tutorial focuses on calculating slope in geometry, covering parallel and perpendicular lines, visualizing slope with angles, and using slope to prove right triangles. It also explains how to calculate the slope of an altitude and a median in a triangle, emphasizing the concept of negative reciprocals for perpendicular lines.

If line AB is parallel to line CD and the slope of AB is 5, what is the slope of CD?

• 5

• Undefined

• 0

• -5

Tags

CCSS.8.EE.B.6

What is the slope of a line perpendicular to another line with a slope of 7/4?

• 4/7

• -4/7

• 7/4

• -7/4

Tags

CCSS.8.EE.B.5

What is the slope of a vertical line?

• -1

• Undefined

• 1

• 0

Tags

CCSS.8.EE.B.5

What is the slope of a horizontal line?

• -1

• Undefined

• 1

• 0

Tags

CCSS.8.EE.B.5

If a line increases at a 45-degree angle, what is its slope?

• 0

• Undefined

• -1

• 1

How can you prove a triangle is a right triangle using slopes?

• By showing two sides are perpendicular

• By showing two sides are parallel

• By showing all angles are 45 degrees

• By showing all sides have the same slope

Tags

CCSS.8.EE.B.6

What is the slope of line BC if line AB has a slope of -2 and they form a right triangle?

• 2

• -2

• 1/2

• -1/2

Tags

CCSS.HSG.CO.C.10

How do you find the slope of an altitude in a triangle?

• By using the midpoint formula

• By finding the negative reciprocal of the base's slope

• By using the same slope as the base

• By averaging the slopes of the sides

Tags

CCSS.8.EE.B.5

What is the slope of the median if the midpoint of AC is (7, 2) and B is (5, 9)?

• -3.5

• 2

• 3.5

• -2

Tags

CCSS.HSG.GPE.B.6

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

• Slope formula

• Distance formula

• Midpoint formula

• Reciprocal formula

Tags

CCSS.HSG.GPE.B.6