Question

The sketch below shows two arrows.
The bigger arrow is an enlargement of scale factor 1.5 of the smaller arrow.

Write down the three missing values.

Answer 1

Answer:

a = 4 cm

b = 12 cm

c = 40 degrees

Step-by-step explanation:

Enlarging by a scale factor means that all sides increase by the scale factor. In a formula, this means that new side = original side * scale factor for each corresponding side.

For example, 8 cm in the smaller figure corresponds to b in the larger figure. Therefore, new side(b) = original side(8) * scale factor(1.5)

b = 8 * 1.5

b = 12 cm

6 cm corresponds to a, so

6 = a * 1.5

divide both sides by 1.5 to solve for a

6/1.5 = a = 4

Enlarging by a scale factor keeps all corresponding angles the same, so

40° = c