Advertisements
Advertisements
Question
Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.
Advertisements
Solution
∴ ∠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
RELATED QUESTIONS
By drawing a freehand sketch of the following, draw the line (s) of symmetry, if any:
a rectangle
Draw a triangle with no line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the triangle drawn.
Draw a quadrilateral with no line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.
Draw the axes of symmetry of the figure below. Which of them has more than one axis of symmetry?
Draw the mirror image:
The king had many such lockers with different handles. Check if, on giving them half a turn, he can get confused with these too.
- What will you do to solve the problem for each of these?
A circle has two lines of symmetry.
Draw all lines of symmetry for the following figure.
Draw all lines of symmetry for the following figure.
In the Color Blob Fold activity, what acts as the line of symmetry?
