Let's review "similar" and "congruent." "Congruent" means the same--so two congruent line segments will be the same length; two congruent figures have the same angle measures, same side lengths, same area, etc. "Similar" means that the sides and area are PROPORTIONAL, not the same: you can divide or multiply them all by the same number and get the measures of the other. Note that the angles must still be the same measures.
So, let's look at A, first comparing AB and CD. AB is 4 units long, and CD is 2 units long. 4/2=2, so AB is twice the length of CD. What about BC and DE? BC=6, and DE=3. 6/3=2. Since BOTH AB and BC are twice the length of CD and DE, they are proportional. A is correct!
In B, if side AC has the same slope as side CE, then basically they have the same incline. They are on the same line, and this line has a slope. Since they are both on this line, they both must have the same slope as this line, and therefore the same slope as each other. B is correct.
What about C? Are the triangles congruent? NO, because their side lengths are different (though proportional). C is incorrect. And D? Just looking at the diagram, we can tell that AC is not the same length as DE, so they are NOT congruent (though again, they are proportional). D is incorrect.
Answer: A, B
Answer:
I am sorry but I don't know how to do that
Step-by-step explanation:
Every fraction is just a short way to write a division.
Whenever you see a fraction, it means
the top number
divided by
the bottom number.
When you actually do the division, like with a pencil or a calculator,
the quotient you get is the decimal form of the fraction.
I won't insult your intelligence by giving you 7 divided by 25 .
I'm sure you can do that easily.
I also won't insult your intelligence by sending you to a web site.
I assume that if you were on a desert island without your phone
or any 4G coverage, you'd be able to figure out a way to divide
7 by 25.
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
