Understanding Angles Between Lines

Understanding Angles Between Lines

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
4.MD.C.5B, 8.G.A.5, 8.EE.B.5

+1

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.4.MD.C.5B
,
CCSS.8.G.A.5
,
CCSS.8.EE.B.5
CCSS.HSG.CO.A.1
,
The video tutorial explains how to calculate the angle between two lines given their equations. It starts by introducing the equations of the lines L1 and L2. The tutorial then calculates the angle each line makes with the positive x-axis, denoted as α and β, respectively. Using these angles, the video derives the angle between the two lines and also discusses the complementary angle. The process involves understanding the slopes of the lines and applying trigonometric identities to find the angles.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of line L1?

L1: √3x - y = 0

L1: x - √3y = 0

L1: 2x - y = 0

L1: x + y = 0

Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of line L1?

1

√3

2

0

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What angle does line L2 make with the positive x-axis?

90 degrees

30 degrees

45 degrees

60 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to find the angle between two lines?

tan(θ) = (m1 - m2) / (1 - m1*m2)

tan(θ) = (m1 * m2) / (1 + m1*m2)

tan(θ) = (m1 + m2) / (1 - m1*m2)

tan(θ) = (m1 - m2) / (1 + m1*m2)

Tags

CCSS.8.G.A.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smaller angle between the two lines?

150 degrees

30 degrees

90 degrees

60 degrees

Tags

CCSS.8.G.A.5

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?