1. ©G Dear2008 – Not to be sold/Free to use
Similarity
Rule 04
Stage 4 - Year 9
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©G Dear2008 – Not to be sold/Free to use

2. If the hypotenuse and a second side of a
Similar Triangles 4
If the hypotenuse and a second side of a
right-angled triangle are proportional to the hypotenuse and a second side of another right-angled triangle, the two triangles are similar. A B
hypotenuse and a second side of a right-angled triangle are proportional
They are similar

3. If the hypotenuse and a second side of a
Similar Triangles 4
If the hypotenuse and a second side of a
right-angled triangle are proportional to the hypotenuse and a second side of another right-angled triangle, the two triangles are similar.
90o =
90o
5cm
3cm 5 10 3 6 1 2 A = =
10cm
6cm B
hypotenuse and a second side of a right-angled triangle are proportional
They are similar

4. (hypotenuse and other side
Similar Triangles 4
If the hypotenuse and a second side of a
right-angled triangle are proportional to the hypotenuse and a second side of another right-angled triangle, the two triangles are similar. A A
5cm
3cm B
10cm
6cm AB DE AC DF 1 2 = = B C D
B = E = 90O
Label each triangle.
 ΔABC ||| ΔDEF
(hypotenuse and other side
in proportion) E F