Steps of Construction of a Line Parallel to a Given Line

Q. Draw a line, say AB. Take a point C outside it. Through C, draw a line parallel to AB using ruler and compass only. [4 MARKS]

Q.

Given $\overline{AB}$ of length $7.3cm$ and $\overline{CD}$ of length $3.4cm$, construct a line segment $\overline{XY}$ such that the length of $\overline{XY}$ is equal to the difference between the lengths of $\overline{AB}$ and $\overline{CD}$. Verify by measurement

Q.

Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

Q.

Construct a circle of radius 10 cm. What is the diameter of the circle? [2 MARKS]

Q.

Question 1

Draw any line segment $\overline{PQ}$. Without measuring $\overline{PQ}$, construct a copy of $\overline{PQ}$

Q.

Question 2

Given some line segment $\overline{AB}$, whose length you do not know, construct $\overline{PQ}$ such that the length of $\overline{PQ}$ is twice that of $\overline{AB}$.

Q. The idea of equal alternate angles is used to construct which of the following?

1. A line parallel to a given line
2. A triangle
3. A square
4. Two triangles

Q.

Question 97
Draw two parallel lines at a distance of 2.2 cm apart.

Q.

Question 4

Given $\overline{AB}$ of length 3.9 cm, construct $\overline{PQ}$ such that the length $\overline{PQ}$ is twice that of AB . Verify by measurement.

(Hint: Construct $\overline{PX}$ such that length of $\overline{PX}$ = length of $\overline{AB}$;
then cut off $\overline{XQ}$ such that $\overline{XQ}$ also has the length of $\overline{AB}$.)

Q.

Which of the following measurements can be used to construct a unique triangle?

1. SSS

2. AAS

3. ASS

4. AAA

Q.

how to construct parallel lines using compass

Q.

Draw any line segment. Without measuring, construct a copy of.

Q.

Draw a line segment AB of length $6.4cm$. Mark a point C on the line segment such that $AC=3cm$. It is impossible to copy line segment CB without using a ruler or a compass or a divider.

1. True

2. False

Q. Write the steps to construct a right angle triangle whose perpendicular sides are 12 cm and 16 cm.

Q.

Draw a line $l$. Draw a perpendicular to $l$ at any point on $l$. On this perpendicular choose a point $x$, $4cm$ away from $l$. Through $x$, draw a line $m$ parallel to $l$.

Q.

In a triangle, base is given and 2 adjacent angles are of more than 90 degrees. Is it possible to construct such a triangle?

1. Only if they are not equal

2. Never

3. Only if they are equal

4. Yes

Q.

Question 1
Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Q.

Line and line segment mean the same thing.

1. True

2. False

Q.

Question 3
Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Q. Draw a line segment of length $6.3cm$. Draw another line parallel to it at a distance $3cm$ from it.

Q. Draw a line $XY$ . Draw a line parallel to $\overline{XY}$ at a distance of $4$ $m$ from it. (clue: Draw a a perpendicular to $\overrightarrow{XY}$ through a point and continue).

Q.

See the figure below:

To draw a line parallel to l through A, the next step will be:

1. Join AF

2. Join AE

3. Join HE

4. Join AH

Q. Draw a line PQ and take a point A outside it. Through A draw a line parallel to PQ. using rural and compass only

Q.

If AE = BE and $\angle DEB={90}^{\circ }$, then CD is the perpendicular bisector of line segment AB.

1. False

2. True

Q.

Given some line segment, whose length you do not know, construct such that the length of is twice that of .

Q.

There is a line ‘m’ and a point marked not on the line 'm'. Which of the following concept can be used to draw a line, parallel to ‘m’ through that point?

1. Vertically opposite angles

2. Sum of angles of a triangle is 180°

3. Linear pair axiom

4. Alternate angles concept

Q. While constructing a parallel line to a given line, we______.

1. copy a segment
2. bisect a segment
3. copy an angle
4. construct a perpendicular

Q. Draw a line segment $XY=7cm$. Take a point $A$ outside $XY$. Draw a line parallel to $XY$ and passing through $A$.

Q. Draw a line AB and draw another line CD parallel to AB at a distance of 3.5 cm from it.

Q.

If the number of endpoints in a line, ray and a line segment is represented by X, Y, and Z, what is the value of X + Y + Z ? [2 MARKS]