Advertisements
Advertisements
प्रश्न
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
उत्तर
∴ ∠PQR = 90°, and ∠P = ∠R ............(opposite sides are equal)
∴∠P + ∠R = 90°
Hence ZP = ZR = = 45°
Steps of Construction:
(i) Draw a line segment QR = 5.5 cm
(ii) At Q, draw a ray making an angle of 90° and cut off QP = 5.5 cm.
(iii) Join PR.
∆ PQR is an isosceles triangle.
(iv) Draw the angle bisector of ∠PQR. It is the line of symmetry. Since the triangle is an isosceles.
∴It has only one line of symmetry.
APPEARS IN
संबंधित प्रश्न
Take a graph paper and mark the points A(2,0), B(2,8) and C(S,4) on it. Taking AB as the line of symmetry, obtain and write the co-ordinates of point D. Complete the quadrilateral ABCD and give its geometrical name.
Take a graph paper and mark the points P(2, 1), Q(7, 1) and R(7,5). Taking QR as the line of symmetry, obtain and write the co-ordinates of point S.
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a rhombus
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a kite-shaped figure triangle
A quadrilateral ABCD is symmetric about its diagonal AC. Name three sides of this quadrilateral which are equal.
A quadrilateral ABCD has exactly one axis of symmetry, which is not a diagonal. Show that the quadrilateral is an isosoeles trapezium.
Draw the axes of symmetry of the figure below. Which of them has more than one axis of symmetry?
For the given figure, which one is the mirror line, l1 or l2?
Draw all lines of symmetry for the following figure as given below:
Draw all lines of symmetry for the following figure.
