Important Questions: Does it look the same | Mathematics for Class 5: NCERT PDF Download

Q1: In Fig, the point C is the image of point A in line I and line segment BC intersects the line I at P. 
Is P that point on line I from which the sum of the distance of points A and B is minimum

Ans: Since, PA + PB = PC + PB
Now, CP + PB will be minimum when C, P and B lie on the line.

Q2: Draw the image P', Q' and R' of the point P, Q and R, respectively in the line n (Fig). Join P' Q' and Q' R' to from an angle P' Q' R' . Measure ∠PQR and ∠P'Q'R' . Are the two angles equal?

Ans: Yes both the angles are equal.

Q3: Draw the images of the points A, B and C in the line m (Fig). Name them as A', B; and C' , respectively and join them in pairs. Measure AB, BC, CA, A'B' and B' C' and C' A'. Is AB = A'B', BC= B'C' and CA= C' A'

Ans: Yes, AB= A'B' , BC=B'C, and CA = CA'

Q4: The image of a point lying on a line l with respect to the line of symmetry l lies on _____ .
Ans: The image of a point lying on a line l with respect to the line of symmetry l lies on line l

Q5: In Fig, the point C is the image of point A in line I and line segment BC intersects the line I at P (c) Is PA + PB = PC + PB

Ans: Yes, Since, PA= PC  as they are reflection of each other and PB is common in both
∴ PA + PB = PC + PB

Q6: In Fig, the point C is the image of point A in line I and line segment BC intersects the line I at P. (b) Is PA = PC

Ans: Yes, PA= PC ∵ (point C is the image of point A)

Q7: The distance of the image of a point (or an object) from the line of symmetry (mirror) is _____ as that of the point ( object) from the line (mirror).
Ans: The distance of the image of a point (or an object) from the line of symmetry (mirror) is s a m e as that of the point ( object) from the line (mirror).
Because, object and image lie on opposite side of a line of symmetry(plane mirror) but at e q u a l distance from line of symmetry(mirror)

Q8: If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a _____ of length _______ .
Ans: Image of any object in mirror is same object lying on opposite side of mirror.
So, image of line segment of 5 cm is a line segment of 5 cm, as image is same as object just lying on opposite side of a mirror.
So, If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a line segment of length 5 cm.

Q9: Draw the images of points A and B in line I of Fig. and name them as A' and B' respectively. Measure AB and A' B' . Are they equal

Ans: Yes, the measurement of AB and A' B' will be equal.

Q10: In Fig, the point C is the image of point A in line I and line segment BC intersects the line I at P. (a) Is the image of P in line I the point P itself

Ans: Yes, the image of P in line I the point P itself.