Question

2. In the figure, P'Q'R'S' is an enlargement of PQRS
with a scale factor of k.
(i) Given that PQ = 8 cm and P'Q' = 16 cm, find
the value of k.
(ii) Given that QR = 4 cm and S'R' = 14 cm,
calculate the length of Q'R' and of SR.​

Answer 1

Answer:

Motion -

In physics, motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time.

Answer 2

GIVEN

• P'Q'R'S' is an enlargement of PQRS with a scale factor of k.
• P'Q' = 16 cm
• PQ = 8 cm
• QR = 4 cm
• S'R' = 14 cm

SOLUTION

Scale Factor = P'Q'/PQ = Q'R'/QR = S'R'/SR = k

P′Q′/PQ = k

16/8 = k

k = 2

____________

Q′R′/QR = k

Q′R′/4 = 2

Q′R′ = 8 cm

____________

S′R′/SR = k

14/SR = 2

SR = 7 cm

▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬