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Mathematics 34 Online
princeevee:

i need some help checking my answers

princeevee:

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princeevee:

@Vocaloid

Vocaloid:

good

princeevee:

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Vocaloid:

good

princeevee:

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princeevee:

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Vocaloid:

hm this is just them being picky but for blank 2) since they named the right angle E first, then the other triangle needs to be named TIS not ITS since the right angle is T

Vocaloid:

same logic with blank 3 they name the triangle TIS, with the right angle T named first so the corresponding triangle needs to be OIN since the right angle O is named first

Vocaloid:

so yeah this is kind of a nit picky question but 2) EUS is congruent to TIS 3) TIS is congruent to OIN making choice 1 the better sol'n

princeevee:

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Vocaloid:

huh not a very well-written question but I'm tempted to say false since you can have three angles add up to more than 180 thus not producing any triangle at all

Vocaloid:

oh, yeah, it's definitely false because if you multiply each side of the triangle by some scale factor, all the angles remain the same but you have a new triangle

princeevee:

alright

princeevee:

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Vocaloid:

hm, not quite for it to be SAS the angle needs to be in between the two sides

Vocaloid:

we have a case of SSA which is actually not a congruence theorem so these triangles cannot be proved to be congruent w/ the given information

princeevee:

so B then?

Vocaloid:

yes

princeevee:

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Vocaloid:

well done ~

princeevee:

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princeevee:

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Vocaloid:

almost the reason we know that K and T are 90 degrees is that the IK and KE are perpendicular so the perpendicular lines comes first, then we use the right angle definition to label K and T as right angles so you just need to switch statements 1 and 2

princeevee:

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princeevee:

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Vocaloid:

we only know one angle of each triangle so by definition we can exclude ASA (which requires two angles each) leaving us with HL still working on the rest

Vocaloid:

well, statement 3 is stating that MG = GM right? this is the symmetric property so symmetric , transitive, HL

princeevee:

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Vocaloid:

good

princeevee:

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princeevee:

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Vocaloid:

notice how PN and YN are the sides directly across from the right angles, and thus the longest sides so PN and YN are hypotenuses not legs

Vocaloid:

now, we only know one angle of each triangle (the right angle) so it cannot be AAS, which requires us to know two angles of each triangle that being said what might the final sol'n be?

princeevee:

D.

princeevee:

i mean A

Vocaloid:

good, A

princeevee:

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Vocaloid:

good guess but keep in mind they're asking for the perimeter of the dilated image not the original triangle since they dilated by a factor of 0.5 the new perimeter is just one half the old perimeter

princeevee:

oh, so 12, since it;s half of the original

Vocaloid:

yes good

princeevee:

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Vocaloid:

good

Vocaloid:

alright i'm probably gonna head off now, be back as soon as I can

princeevee:

okay

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