Question

Determine whether each pair of triangles is similar. If similarity exists, write a similarity statement relating to the two triangles. Give a justification for your answer

Answer 1

common ratio = 4
12 / 3 = 4

16 / 4 = 4
20 / 4 = 5
Sides are similar/proportional. I don't know the formal word for this relationship

Answer 2

you need to find the hypotenuse for the larger triangle

and the shorter side in the smaller triangle...

you can use pythagoras' theorem for this...

then compare the ratios of corressponding sides...

Answer 3

I knew the triangle on the right was a classical 3, 4 ,5 triangle. and if you compare the sides on the left triangle, the triangle on the left has sides that are 4 times as big.

Answer 4

saves time

Answer 5

yes... but the question asks for justification.... which means... doing something about the missing sides so that you can comment about the ratios of corresponding sides...

Answer 6

and saves time, costs marks..

Answer 7

which is exactly what we did.

Answer 8

we found a ratio. the triangle on the left has sides 4 times as big. the triangle on the right has sides 1/4 the length of the one on the left

Answer 9

you made a statement about the measurement without support....... the question a marker asks... is there is no justification so talk about Pythagoras... or Pythagorean Triads... and then you can look at the ratios of corresponding sides...

Answer 10

12 / 3 = 4
16 / 4 = 4
20 / 5 = 4
The justification is obvious. The triangles are similar because of their proportionality. That justifies it.