Question

State AAA similarity criterion.

Answer 1

SOLUTION :

AAA(Angle - Angle - Angle) SIMILARITY CRITERION :  

In two Triangles,if corresponding angles are equal , then their corresponding sides are in the same ratio , i.e they are proportional and hence the two triangles are similar.

**If two angle of one ∆ are respectively equal to two angles of another triangle, then the two triangles are similar by angle sum property of a triangle , their third angles will also be equal and it is called AA similarity criterion.

In ∆ABC & ∆PQR

∠A = ∠P

∠B = ∠Q

∠C = ∠R

∆ABC ~ ∆PQR

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Answer 2

$\boxed{\boxed {\bf{\green{AAA Criterion}}}}$
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ᴛʜɪs sᴇᴄᴛɪᴏɴ ᴇxᴘʟᴀɪɴs ʏᴏᴜ ᴛʜᴇ ᴘʀᴏᴏғ ᴏɴ ᴀᴀᴀ sɪᴍɪʟᴀʀɪᴛʏ.

sᴛᴀᴛᴇᴍᴇɴᴛ: ɪғ ɪɴ ᴛᴡᴏ ᴛʀɪᴀɴɢʟᴇs, ᴛʜᴇ ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇs ᴀʀᴇ ᴇǫᴜᴀʟ, ɪ.ᴇ., ɪғ ᴛʜᴇ ᴛᴡᴏ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ ᴇǫᴜɪᴀɴɢᴜʟᴀʀ, ᴛʜᴇɴ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ sɪᴍɪʟᴀʀ. 

ᴇ.ɢ:-: ᴛʀɪᴀɴɢʟᴇs ᴀʙᴄ ᴀɴᴅ ᴅᴇғ sᴜᴄʜ ᴛʜᴀᴛ ∠ᴀ = ∠ᴅ; ∠ʙ = ∠ᴇ; ∠ᴄ = ∠ғ [ɪɴ ғɪɢᴜʀᴇ{ʙʏ ᴀᴀᴀ ᴄʀɪᴛᴇʀɪᴏɴ}]

•°•⚠️ABC~⚠️DEF

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