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Standard VI

Mathematics

Symmetric Points.

Question 25 F...

Question

Question 25

Fill in the blanks to make the statements true.

In the figure, if B is the image of the point A with respect to the line $l$ and P is any point lying on $l$ , then the lengths of the line segments PA and PB are ___.

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Solution

equal.

Since B is the image of point A, so the distance of points A and B from any point on the line of symmetry (line $l$ in this case) must be equal. Hence, PA must be equal to PB.

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Question 24

Fill in the blanks to make the statements true.

The image of a point lying on line $l$ with respect to the line of symmetry $l$ lies on ____________.

Question 70

In the figure, the point C is the image of point A in line $l$ and line segment BC intersects the line $l$ at P.

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(d) Is P that point on the line $l$ from which the sum of the distances of points A and B is minimum?

Q. In the below figure, point C is the image of point A in line l and line segment BC intersects the line l at P.

(a) Is the image of P in line l the point P itself?
(b) Is PA = PC?
(c) Is PA + PB = PC + PB?
(d) Is P that point on line l from which the sum of the distances of points A and B is minimum?

Question 20

Fill in the blanks to make the statement true.

In the adjacent figure, points lying in the interior of the $△$ PQR are ______, that in the exterior are _________ and that on the triangle itself are _________.

Question 22

Fill in the blanks to make the statements true.

If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a ___ of length ___.

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Symmetric Points.

Standard VI Mathematics

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Question 25 Fill in the blanks to make the statements true. In the figure, if B is the image of the point A with respect to the line l and P is any point lying on l, then the lengths of the line segments PA and PB are ___.

equal. Since B is the image of point A, so the distance of points A and B from any point on the line of symmetry (line l in this case) must be equal. Hence, PA must be equal to PB.

Question 25

Fill in the blanks to make the statements true.

In the figure, if B is the image of the point A with respect to the line $l$ and P is any point lying on $l$ , then the lengths of the line segments PA and PB are ___.

equal.

Since B is the image of point A, so the distance of points A and B from any point on the line of symmetry (line $l$ in this case) must be equal. Hence, PA must be equal to PB.