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Title: Perpendiculer Lines

Grade: 6-a Lesson: S2-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The line x makes an angle with both lines A and B. Then the lines A and B are.
2	Hint	Line x forms angles with both lines A and B.
3	Step	The line x makes an angle with line A is 30°.
4	Step	The line x makes an angle with line B is 60°.
5	Step	The sum of both angles made with x is equal to the angle between line A and B	⇒ ∠AB = ∠Ax + ∠Bx ⇒ ∠AB = 30 + 60
6	Step	After making the equation simpler	∠AB = 90
7	Step	The angle between lines and B is 90°, so the lines are called perpendicular lines.
8	SumUp	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This is not correct because perpendicular lines are not parallel	Parallel lines
10	Choice.B	This is correct becuase implies that lines A and B are perpendicular, as the angle between them is 90 degrees	Perpendicular lines
11	Choice.C	This is not correct. Perpendicular lines intersect, but not all intersecting lines are perpendicular	Intersecting lines
12	Choice.D	The correct answer is not "none of the above" because the information provided leads to the conclusion that the lines are perpendicular	None of the above
13	Answer	Option	B
14	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The line x makes an angle with both lines A and B. Then the lines A and B are.

Hint

Line x forms angles with both lines A and B.

Step

The line x makes an angle with line A is 30°.

Step

The line x makes an angle with line B is 60°.

Step

The sum of both angles made with x is equal to the angle between line A and B

⇒ ∠AB = ∠Ax + ∠Bx
⇒ ∠AB = 30 + 60

Step

After making the equation simpler

∠AB = 90

Step

The angle between lines and B is 90°, so the lines are called perpendicular lines.

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

This is not correct because perpendicular lines are not parallel

Parallel lines

Choice.B

This is correct becuase implies that lines A and B are perpendicular, as the angle between them is 90 degrees

Perpendicular lines

Choice.C

This is not correct. Perpendicular lines intersect, but not all intersecting lines are perpendicular

Intersecting lines

Choice.D

The correct answer is not "none of the above" because the information provided leads to the conclusion that the lines are perpendicular

None of the above

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?