Question

As a part of assigning project in a school, a maths teacher decided to ask the children to make

designs using only mathematical figures. One group made a figure in the shape of a triangle PQR

with sides 30cm, 32cm and 35cm and filled it with beautiful designs. The teacher liked their

design, appreciated the children and asked them a few questions based on the structure they made,

which is given below.

a) In the figure, if X is the midpoint of PQ and XY ll QR, then PY is equal to

i. 16cm

ii. 32cm

iii. 15cm

iv. 26cm

b) If X and Y are midpoints of PQ and PR, the length of XY is

i. 35cm

ii. 32cm

iii. 16cm

iv. 17.5cm

c) Name the theorem which helps you to find the length of XY

i. Pythagoras theorem

ii. Mid-point theorem

iii. Converse of Mid-point theorem

iv. None of the above.

d) If X, Y and Z are the mid-points of the sides PQ, PR and QR of triangle PQR, then quadrilateral

XQZY is a

i. Kite

ii. Trapezium

iii. Rectangle

iv. Parallelogram

e).The ratio between the areas of triangle XYZ and remaining portion of triangle PQR is
i. 1:4

ii. 1:3

iii. 4:1

iv. 3:1​

Answer 1

Answer:

Step-by-step explanation:

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