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A line cannot be drawn parallel to the given line from a point not lying on it using alternative angle property of parallel lines​

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Important Questions on Constructions

EASY

Only one circle can be drawn through three non collinear points.

MEDIUM
Draw a circle of radius 3 cm. Mark a point 7 cm away from its centre. Draw the tangents to the circle from this point.
MEDIUM

The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour? use π=227

EASY

In the given figure, ABCD, ABO=40° and CDO=35°. Then the value of x will be

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EASY
Write the perimeter of semicircle of radius r.
EASY
If the ratio of the area of two circles is 9:16, then the ratio of their circumference _____.
MEDIUM
In ABC, a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects XYC, then
EASY

If ABCD then x=k° and k= _____.

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MEDIUM

In the given figure, PQRS, PAB=60° and ACS=100°. Then BAC=?

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EASY

In Figure, if AB is parallel to CD, then the value of BPE is

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EASY
If two parallel lines are intersected by a transversal, then the pair of alternate interior angles is _____.
MEDIUM

Two corresponding angles are (x+5)° and (2x-70)°. Then x°=_____°.

EASY

In the given figure, AB  DE.
Find x.

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EASY

Arrange the steps marked i to v in correct order while constructing a line parallel to a given line, through a point not on the line using ruler and compasses only.

Step 1. Take a line l and a point A outside l.

Step 2. Take any point B on l and join B to A.

(i) Now with A as centre and the same radius as in previous step, draw an arc EF cutting AB at G.

(ii) With the same opening as in previous step draw an arc cutting the arc EF at H.

(iii) With B as centre and a convenient radius, draw an arc cutting l at C and BA at D.

(iv) Now, join AH to draw a line m.

v Now with C as centre, open the compass for the radius equal to the arc CD.

EASY
We can draw _____ line (s) parallel to a given line. (one/ two/ infinite)
MEDIUM

In the given figure, ABCDEF, ABG=110°, GCD=100° and BGC=x°. Then x=?

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EASY
Perpendiculars through the endpoints of a line segment are _____ to each other.
EASY
If RSPQ and RTUQ, then find the value of 8x2y.
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EASY
If a transversal line cuts two parallel lines, the corresponding angles are _____.
MEDIUM
In the given figure (not drawn on scale), AD is parallel to BC. JDK, GHCI,EABF are straight and parallel lines.
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Find :
(i)GHD-HDC (ii)BCI+HAB