Question

Use ΔABC shown below to answer the question that follows:

Triangle ABC with segment AD drawn from vertex A and intersecting side BC.

Which of the following must be given to prove that ΔABC is similar to ΔDBA? (6 points)


Segment AD is an altitude of ΔABC.
Segment CB is a hypotenuse.
Segment CA is shorter than segment BA.
Angle C is congruent to itself.

Answer 1

i know it is not the first one

Answer 2

So this goes back to what we had before, the ways to prove triangle similarity, one of those gives you the needed information to prove them similar

Answer 3

SAS?

Answer 4

How do you know its not the first one?

Answer 5

it isnt needed to prove that

Answer 6

How do you know?

Answer 7

nevermind i just looked at the definition of an altitude. We need to know that the smaller triangle has a 90 degree angle

Answer 8

Yes and an altitude gives you this

Answer 9

i was used to perpendicular

Answer 10

:P

Answer 11

so it is the first one

Answer 12

I have another question

Answer 13

Yep :)

Answer 14

Which of these could be a step to prove that BC2 = AB2 + AC2? (6 points)


By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.

Answer 15

New sheet please, because some of these I might not be able to get

Answer 16

ok