Question

Which theorem or postulate proves the two triangles are similar

Answer 1

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Answer 2

There is a dedicated postulate for right triangles similarity

Answer 3

Take a look at the diagram - do you notice small ticks on two sides ? knw how to interpret them ?

Answer 4

Ya they are both the same length

Answer 5

thats right ! that means a pair of `leg`s are same in both triangles

Answer 6

Also the diagonal is common to both triangles !

so we got below stuff same in both triangles :
1) pair of `leg`s are same
2) `hypotenuse` are same

Answer 7

heard of `Hypotenuse Leg` theorem ?

Answer 8

Yes I have but I forgot what it was. So would it be SSA?

Answer 9

`Hypotenuse Leg` theorem is also called `HL theorem` or `LH theorem`

Answer 10

Ah so if the hypotenuse are the same you use the HL theorem

Answer 11

Yep !
hypotenuse AND leg pairs must be equal okay

Answer 12

Alright thanks! This other one is confusing me if you can help it'd be great https://instructure-uploads.s3.amazonaws.com/account_260000000112155/attachments/46074960/mc007-1.jpg?AWSAccessKeyId=AKIAJBQ7MOX3B5WFZGBA&Expires=1404955823&Signature=z%2F0vDF3mJmtFQ2LXAF9jAI8M9s0%3D&response-content-disposition=attachment%3B%20filename%3D%22mc007-1.jpg%22%3B%20filename%2A%3DUTF-8%27%27mc007%252D1.jpg

Answer 13

The choices are SSS, SAS, ASA, AAS

Answer 14

Notice that one `Angle` pair is given as congruent

Answer 15

and a sides AB and CD has same number of ticks, so AB = CD
so a `Side` pair is also congruent

Answer 16

finally the diagonal is common to both sides, so another `Side` pair is congruent

Answer 17

Since the conguent Angle was included between between the congruent sides. which theorem applies here ?

Answer 18

So SAS?

Answer 19

Yep!

Answer 20

Wow thank you very much!