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5.3 Similarity SACHS
Contributed by: Shanahan
The enlargement factor in decimal form is:
x = 

The length of a boat is 11.2 m. 

What would be its length on a scale drawing

with a scale of 1 : 200?

metres
3 pairs of sides in proportion
2 pairs of sides in proportion
and included angle equal.
Which similar triangle property is illustrated?
3 pairs of equal angles
Hypotenuse and other
side in proportion
3 pairs of sides in proportion
2 pairs of sides in proportion
and included angle equal.
Which similar triangle property is illustrated?
3 pairs of equal angles
Hypotenuse and otherside in proportion
3 pairs of sides in proportion
2 pairs of sides in proportionand included angle equal.
Which similar triangle property is illustrated?
3 pairs of equal angles
Hypotenuse and other
side in proportion
3 pairs of sides in proportion
2 pairs of sides in proportion
and included angle equal.
Which similar triangle property is illustrated?
3 pairs of equal angles
Hypotenuse and other
side in proportion
The length ratio is 5:3.
The area ratio is:
The length ratio is 5:3.
The volume ratio is:
Calculate the length ratio and use it to calculate x.
Answer in decimal form:
cm
Two circles have radii in the ratio 3:7.Find the area of the smaller circle if the areaof the larger circle is 154 m2.
Answer correct to 1 decimal place:
m2
Given AB parallel to TP,
match the equal angles.
Angle B =
Angle A =
Angle AXB =
Angle T
?
Angle P
?
Angle PXT
?
3 pairs of sides in proportion
2 pairs of sides in proportionand included angle equal.
Which rule would prove these triangles similar?
3 pairs of equal angles
Hypotenuse and other
side in proportion
3 pairs of sides in proportion
2 pairs of sides in proportion
and included angle equal.
Which rule would prove these triangles similar?
3 pairs of equal angles
Hypotenuse and other
side in proportion
Answer correct to 2 decimal places:

 A box of washing powder is 12 cm tall and contains

750 g of washing powder. A similar box is 18 cm tall.

How much washing powder does it contain?

g
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