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:
(-1,1), (1,3), (2,2)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 1/3 --> 1/3(x, y)
Before-> After dilation
1/3(-3,3) = (-1,1)
1/3(3,9) = (1,3)
1/3(6,6) = (2,2)
Please leave a 'thanks' if this helps!
The formula says
I=prt
I Interest earned
P principle
R interest rate
T time
The interest earned of local account
13,670×0.019×9
=2,337.57
The interest earned of online account
6,040×0.045×9
=2,446.2
The difference
2,446.2−2,337.57
=109
So the answer is d
I think that you have forgot to add the choices along with the question. This has made answering difficult, but it is not unanswerable. "A two-way table" is <span>used to summarize two potentially related categorical variables. I hope that this is the answer that you were looking for and it has actually come to your desired help.</span>
Answer:
Step-by-step explanation:
4 times more. 16 divided by 4=4
