Perpendicular Lines and Perpendicular Bisector

Q.

One bisector of the angle between the lines given by $a{(x-1)}^2+2h(x-1)y+b{y}^2=0\text{is}2x+y-2=0$.The other bisector is

1. $x–2y+1=0$

2. $2x+y–1=0$

3. $x+2y–1=0$

4. $x–2y–1=0$

Q.

Perpendicular lines intersect each other at right angles (90°).

1. True
2. False

Q.

Define perpendicular lines.

Q. A perpendicular bisector of ​​​​​​a line segment always:

1. Passes through the midpoint of the line segment.
2. Bisects the given line segment.
3. Is perpendicular to the given line segment.
4. None of the above

Q. The angle between two perpendicular lines is ___.

1. 60 degrees
2. 180 degrees
3. 90 degrees
4. 45 degrees

Q.

State True or False:
Perpendicular lines make right angles with each other.

1. True
2. False

Q.

Draw the following: A rectangle with adjacent sides of length $5\mathrm{cm}$ and $4\mathrm{cm}$.

Q.

A $\underline{}$ pair is a pair of the adjacent angle whose non-common sides are opposite rays?

Q. Two lines on a plane which are not parallel to each other will .

1. not intersect
2. intersect
3. be moving away

Q.

Question 48

State whether the statements are true(T) or false(F).

With ruler and compasses, we can bisect any given line segment.

Q. The sum of each pair of adjacent angles on a straight line is always -

1. 0 degrees
2. 90 degrees
3. 180 degrees
4. 360 degrees

Q.

Perpendicular lines make right angles with each other.

1. True
2. False

Q.

If AB⊥ PQ and CD⊥PQ, then AB⊥CD.

1. True

2. False

Q. Lines which meet at a point are called __________ lines.

1. Parallel
2. Perpendicular
3. Intersecting
4. None of the above

Q.

Question 4 (c)

Study the diagram. The line $l$ is perpendicular to line $m$.

Identify any two line segments for which PE is the perpendicular bisector.

Q.

Question 2

Let $\overline{PQ}$ be the perpendicular to the line segment $\overline{XY}.Let\overline{PQ}and\overline{XY}$ intersect in the point A. What is the measure of $\angle PAY$?

Q. (i) ABC is an equilateral triangle with each side of length 10cm. In

Q.

Question 4 (a)

Study the diagram. The line $l$ is perpendicular to line $m$.

Is CE = EG?

Q.

The orthocentre of the $∆OAB$, where $O$ is the origin, $A\left(6,0\right)$ and $B\left(3,3\sqrt{3}\right)$ is

1. $\left(\frac{9}{2},\frac{\sqrt{3}}{2}\right)$

2. $\left(3,\sqrt{3}\right)$

3. $\left(\sqrt{3},3\right)$

4. $\left(3,-\sqrt{3}\right)$

Q. What is the difference between perpendicular line and perpendicular bisector

Q.

Which of the following are the perfect models of two perpendicular lines?

1. 1

2. 2

3. 3

4. 4

Q.

Question 36

State whether the given statement is True or False.

Two parallel lines meet each other at some point.

Q.

Question 4 (d)

Study the diagram. The line l is perpendicular to line m.

Are these true?
(i) AC > FG (ii) CD = GH (iii) BC < EH

Q.

You are running on a circular jogging track. When you started, you were looking towards the South direction. After covering a quarter of the circular track, you were looking towards the East direction. You are running in __ direction.

Q.

Using a divider, compare the line segments and fill in the blanks by using the suitable symbol <, = or >:

CD ______ BD

Q.

State True or False:
If AB⊥ PQ and CD⊥PQ, AB⊥CD.

1. True

2. False

Q.

State whether the following statement is true or false.

If AB ⊥ PQ and CD ⊥ PQ, then AB ⊥ CD. (Where AB, CD and PQ are drawn on the sheet of a paper)

1. True

2. False

Q.

When do you say that a line is the perpendicular bisector of another line?

Q. Adjacent walls of a room is an example of perpendicular lines.

1. True
2. False

Q. What is the area of scalene triangle