In proving that C is the midpoint of AB, we see truly that C has Symmetric property.
<h3>What is the proof about?</h3>
Note that:
AB = 12
AC = 6.
BC = AB - AC
= 12 - 6
=6
So, AC, BC= 6
Since C is in the middle, one can say that C is the midpoint of AB.
Note that the use of segment addition property shows: AC + CB = AB = 12
Since it has Symmetric property, AC = 6 and Subtraction property shows that CB = 6
Therefore, AC = CB and thus In proving that C is the midpoint of AB, we see truly that C has Symmetric property.
See full question below
Given: AB = 12 AC = 6 Prove: C is the midpoint of AB. A line has points A, C, B. Proof: We are given that AB = 12 and AC = 6. Applying the segment addition property, we get AC + CB = AB. Applying the substitution property, we get 6 + CB = 12. The subtraction property can be used to find CB = 6. The symmetric property shows that 6 = AC. Since CB = 6 and 6 = AC, AC = CB by the property. So, AC ≅ CB by the definition of congruent segments. Finally, C is the midpoint of AB because it divides AB into two congruent segments. Answer choices: Congruence Symmetric Reflexive Transitive
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Answer:
Its A i just took the test
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
All we have to do is set this up!
we know that all he practiced altogether for 15 and 1/3 hours
so lets put that down so far
1
15 ----- =
3
and he says that the first week he played 6 and 1/4 hours on the first week
now lets add that
1 1
15 ----- = 6 ----- +
<span> 3 4
</span>now we also know that he played 4 and 2/3 hours on the first week
now lets add that
1 1 2
15 ----- = 6 ----- + 4 ----- +
<span> 3 4 3
</span>we arent finished yet!
now the third week we dont know how long he played so we are going to put x in its place
1 1 2
15 ----- = 6 ----- + 4 ----- + x
<span> 3 4 3
</span>and there is your answer! finally...
hope this helps:) MARK AS BRAINLIEST!!!
:D
<h3>
Answer: Choice D) 7.5 cm</h3>
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Explanation:
We are told that quadrilateral ABCD is similar to quadrilateral EFGH.
The order of the four letter sequence is important.
- For ABCD, we have AB as the first pair of letters.
- For EFGH, we have EF as the first pair of letters.
Therefore, AB and EF are corresponding sides.
So AB = 10 and EF = x pair up together. We can form the ratio AB/EF which becomes 10/x.
The diagram shows that AD = 8. Notice that A and D are the first and last letters of ABCD. The first and last letters of EFGH are E and H. We can see that AD and EH correspond to one another because of this.
AD = 8 and EH = 6 forming the ratio AD/EH = 8/6
Because the quadrilaterals are similar, the corresponding ratios must be the same. Therefore, AB/EF is the same as AD/EH.
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Let's set up a proportion to solve for x
AB/EF = AD/EH
10/x = 8/6
10*6 = x*8
60 = 8x
8x = 60
x = 60/8
x = 7.5 Answer is choice D
