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Standard VI

Mathematics

Construction of Perpendicular from a Point Outside the Line Using a Set Square

Steps for con...

Question

Steps for constructing a line segment whose length is equal to the sum of the lengths of the two given line segments are:

(i) Draw two line segments AB and CD using a ruler.

(ii) Now take a line L.

(iii) PM is the required Line segment.

(iv) Using the compass a cut a line PQ equal to AB on line L.

(v) Now from Q cut a length QM equal to CD.

i, iii, ii, iv, v

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i, ii, iii, v, iv

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i, ii, iii, iv, v

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i, ii, iv, v, iii

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Solution

The correct option is D
i, ii, iv, v, iii

Correct sequence is: i, ii, iv, v, iii

Draw two line segments AB and CD using a ruler.

Now take a line L.

Using the compass a cut a line PQ equal to AB on line L.

Now from Q cut a length QM equal to CD.

PM is the required Line segment.

Suggest Corrections

Similar questions

Steps for constructing a line segment whose length is equal to the difference of the lengths of the two given line segments are:

(i) Now draw a line L.

(ii) Take two line segments AB and CD.

(iii) With P as a centre cut a length PZ equal to AB.

(iv) SZ is the required line Segment.

(v) Mark point P on the line L.

(vi) Now from P cut a length PS equal to CD.

The steps involved in dividing a line segment are given below. Arrange them in the correct order.

I. Draw a ray $P M$ making an acute angle with $P Q$

II. Locate m+n points $P_{1}$ , $P_{2}$ , $P_{3}$ ......... $P_{m + n}$ , such that $P P_{1}$ = $P_{1} P_{2}$ = $P_{2} P_{3}$ … = $P_{m + n - 1} P_{m + n}$ .

III. Measure the $∠$ $P P_{m + n} Q$ .

IV. Draw a line parallel to $Q P_{m + n}$ at $P_{m}$ .

V. Join $Q P_{m + n}$ .

VI. Draw an angle equal to $∠$ $P P_{m + n} Q$ at $P_{m}$ .

The point Q' at which the line $P_{m} Q'$ intersects PQ divides the line PQ in the ratio $m : n$

Q. Write the names of pairs of congruent line segments. (Use a divider to find them.)

(i) ...........................

(ii) ...........................

(iii) ...........................

(iv) ...........................

Q. Line segment AB is shown in the diagram.

Which two sets of construction marks, labeled I, II , III, and IV, are part of the construction of the perpendicular bisector of line segment AB?

Define the following terms:
(i) Line segment (ii) Collinear points
(iii) Parallel lines (iv) Intersecting lines
(v) Concurrent lines (vi) Ray

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The correct option is D i, ii, iv, v, iiiCorrect sequence is: i, ii, iv, v, iii Draw two line segments AB and CD using a ruler. Now take a line L. Using the compass a cut a line PQ equal to AB on line L. Now from Q cut a length QM equal to CD. PM is the required Line segment.

The correct option is D
i, ii, iv, v, iii

Correct sequence is: i, ii, iv, v, iii

Draw two line segments AB and CD using a ruler.

Now take a line L.

Using the compass a cut a line PQ equal to AB on line L.

Now from Q cut a length QM equal to CD.

PM is the required Line segment.