Question 15 Marks
Construct a triangle ABC, in which AB = BC = 4 cm and ∠ABC = 60°. Draw all its lines of symmetry.
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Question 25 Marks
Construct a triangle XYZ, in which XY = YZ = ZX = 4.5 cm. Draw all its lines of symmetry.
Answer
View full question & answer→Steps of Construction:
(i) Draw line XY = 4.5 cm
(ii) With X as a centre and radius 4.5 cm draw an arc at Z.
(iii) With Y as a centre and radius 4.5 cm draw an arc which cuts the previous arc at Z.
(iv) Join XZ and YZ.
∆XYZ is the required triangle and lines of symmetries are shown in the above figure.
(i) Draw line XY = 4.5 cm
(ii) With X as a centre and radius 4.5 cm draw an arc at Z.
(iii) With Y as a centre and radius 4.5 cm draw an arc which cuts the previous arc at Z.
(iv) Join XZ and YZ.
∆XYZ is the required triangle and lines of symmetries are shown in the above figure.
Question 35 Marks
Construct a triangle ABC, in which AB = AC = 5 cm and BC 6 cm. Draw all its lines of Symmetry.
Answer
View full question & answer→Steps of Construction:
(i) Draw a line BC = 6 cm.
(ii) With B as centre and radius 5 cm draw
(iii) With C as centre and radius 5 cm draw on an arc which cut the previous arc at a.
(iv) Join AB and AC.
(v) ∆ABC is the required triangle line of symmetry is shown in the above figure.
(i) Draw a line BC = 6 cm.
(ii) With B as centre and radius 5 cm draw
(iii) With C as centre and radius 5 cm draw on an arc which cut the previous arc at a.
(iv) Join AB and AC.
(v) ∆ABC is the required triangle line of symmetry is shown in the above figure.
Question 45 Marks
For the shaded portion given below, draw all the possible lines of symmetry:
Answer
View full question & answer→The shaded portion of each figure given has the line or lines of symmetry as given below.
(i) A minor segment has one line of symmetry.
(ii) A major segment has one line of symmetry.
(iii) quadrant has one line of symmetry.
(iv) The given figure has one line of symmetry.
(i) A minor segment has one line of symmetry.
(ii) A major segment has one line of symmetry.
(iii) quadrant has one line of symmetry.
(iv) The given figure has one line of symmetry.