Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
==================================================
Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
- SSS
- ASA
- AAS (or SAA)
- SAS
- HL
- LL
Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
------------
So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.
Answer:
It is a version of Brainly for your phone.
Hi there!
We are asked to find the correct factored form of n² - 25. Immediately, we can see that 25 has a perfect square root, 5. Now, we can rewrite the expression into n² - 5². Finally, using the difference of squares rule, we can derive the equation (n + 5)(n - 5). Therefore, the answer is (n + 5)(n - 5). Hope this helped!
