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Explain why ΔABC cannot be shown to be congruent to ΔCDA.

igomit [66]

There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.

We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.

That third piece of info could be....

AD = BC which allows us to use SAS
angle ACD = angle CAB which allows us to use ASA
angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)

Since we don't know any of those three facts, we simply don't have enough information.

side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.

4 0

2 years ago

HELP HELP HELP HELP HELP HELP HELP HELP

Vladimir79 [104]

Answer:

2.25

Step-by-step explanation:

in order to find the scale factor from A to B you need to divide B by A. 13.5÷6=2.25. 11.25÷5=2.25 and 4.5÷2=2.25.

therefore the scale factor is 2.25 because when you multiply the sides from A by 2.25 you get the length of the side from B.

5 0

3 years ago

A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red