Practical Geome...

Construct a triangle $$ABC$$ in which $$AB = 5 cm$$ and $$BC = 4.6 cm$$ and $$AC = 3.7 cm$$
Steps for the construction is given in jumbled form.Choose the appropriate sequence for the above
1) With radius as $$5\ cm$$ from $$C$$, cut an arc.
2)These arcs will intersect at point $$A$$. Join $$AB$$ and $$AC$$. $$ABC$$ is the required triangle.
3)Draw a line segment $$BC = 4\ cm.$$
4)With radius as $$3$$ cm from $$B$$, cut the arc. 

Which of the following steps is INCORRECT while constructing $$\triangle XYZ$$ if it is given that $$XY = 6 cm, \angle ZXY = 30^o$$ and $$\angle XYZ = 100^o$$
Step 1: Draw line $$XY$$ of length $$6 cm$$.
Step 2: At $$X$$, draw a ray $$XP$$ making an angle of $$30^o$$ with $$XY$$.
Step 3: At $$Y$$, draw a ray $$YQ$$ making an angle of $$100^o$$ with $$YX$$.
Step 4: The point of intersection of the two rays $$XY$$ and $$YQ$$ is $$Z$$.

Which of the following steps is INCORRECT, while constructing $$\triangle$$LMN, right-angled at M, given that LN = 5 cm and MN = 3 cm?
Step 1. Draw MN of length 3 cm.
Step 2. At M, draw MX $$\perp$$ MN. (L should be somewhere on this perpendicular).
Step 3. With N as the center, draw an arc of radius 5 cm. (L must be on this arc since it is at a distance of 5 cm from N).
Step 4. L has to be on the perpendicular line MX as well as on the arc drawn with center N. Therefore, L is the meeting point of these two and $$\triangle$$LMN is obtained.

Construct a triangle $$ABC$$, in which $$AB = 5.5 \ cm, AC = 6.5 \ cm$$ and $$\angle BAC = 75^{\circ}$$.
Steps for its construction is given in a jumbled form. Identify its correct sequence.
1) At $$A$$, construct a line segment $$AE$$, sufficiently large, such that $$\angle BAE=75^\circ$$, use protractor to measure $$75^\circ$$.
2) Draw a line segment which is sufficiently long using ruler.
3) With $$A$$ as centre and radius $$6.5\ cm$$, draw an arc cutting $$AE$$ at C. Join $$BC$$. Hence, $$ABC$$ is the required triangle.
4) Locate points $$A$$ and $$B$$ on it such that $$AB = 5.5\ cm$$.

The steps to construct a line parallel to a given line is given below (in random order):

Step 1 : Place the pointed tip of the compasses at C and adjust the opening so that the pencil tip is at D
Step 2 : Take any point B on l and join B to A
Step 3 : Take a line ‘l’ and a point ‘A’ outside ‘l’
Step 4 : Now with A as centre and the same radius as in the previous step, draw an arc EF cutting AB
at G
Step 5: With B as centre and a convenient radius, draw an arc cutting l at C and BA at D
Step 6 : With the same opening as in the previous step and with G as centre, draw an arc cutting the
arc EF at H. Now, join AH to draw a line ‘m'

The second step is

The steps to construct a line parallel to a given line is given below (in random order):

Step 1 : Place the pointed tip of the compasses at C and adjust the opening so that the pencil tip is at D
Step 2 : Take any point B on l and join B to A
Step 3 : Take a line l and a point A outside l
Step 4 : Now with A as centre and the same radius as in the previous step, draw an arc EF cutting AB
at G
Step 5: With B as centre and a convenient radius, draw an arc cutting l at C and BA at D
Step 6 : With the same opening as in the previous step and with G as centre, draw an arc cutting the
arc EF at H. Now, join AH to draw a line m'

The first step is

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?

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

The steps are as follows (in random order):

Step (a) Take PX = 4 cm on line n.

Step (b) At point X, again draw a perpendicular line m.

Step (c) Draw a line l and take a point P on it.

Step (d) At point P, draw a perpendicular line n.

The first step is

The steps to construct a line parallel to a given line is given below (in random order):

Step 1 : Place the pointed tip of the compasses at C and adjust the opening so that the pencil tip is at D
Step 2 : Take any point B on l and join B to A
Step 3 : Take a line ‘l’ and a point ‘A’ outside ‘l’
Step 4 : Now with A as centre and the same radius as in the previous step, draw an arc EF cutting AB
at G
Step 5: With B as centre and a convenient radius, draw an arc cutting l at C and BA at D
Step 6 : With the same opening as in the previous step and with G as centre, draw an arc cutting the
arc EF at H. Now, join AH to draw a line ‘m'

The third step is

The steps to construct a line parallel to a given line is given below (in random order):

Step 1 : Place the pointed tip of the compasses at C and adjust the opening so that the pencil tip is at D
Step 2 : Take any point B on l and join B to A
Step 3 : Take a line ‘l’ and a point ‘A’ outside ‘l’
Step 4 : Now with A as centre and the same radius as in the previous step, draw an arc EF cutting AB
at G
Step 5: With B as centre and a convenient radius, draw an arc cutting l at C and BA at D
Step 6 : With the same opening as in the previous step and with G as centre, draw an arc cutting the
arc EF at H. Now, join AH to draw a line ‘m'

The fifth step is