Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.
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Explanation:
If we could show that KL = c, then we can tie together the following pairs of segments
- EG = KM = a
- GF = ML = b
- EF = KL = c
Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.
Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.
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Notes:
- SSS = side side side
- CPCTC = corresponding parts of congruent triangles are congruent
Answer:
it should be 4.5
Step-by-step explanation:
Answer:
From the given triangle figure;
Labelled the triangle as A , B and C.
The coordinates of this triangle ABC are;
A = (1, 10) ,
B = (-2, 4)
C = (7, 4).
Given : Scale factor(k) = 
and centered at point (4, -2).
The rule of dilation with 
and center at point (4,-2) is:
or
then, the dilation of the given figure are;
= 
=
= A'(3 , 2)
=
=
=B'(2 , 0)
=
=
= C'(5 , 0)
The coordinates of dilation images are:
A' = (3,2) , B' = (2, 0) and C' = (5, 0)
You can see the graph of the dilated image as shown below:
Answer:
56.25
Step-by-step explanation:
I think I’m wrong. I divided by 2 since they are selling. Then getting the answer 56.25
Answer:
volume = 450 mm³
Step-by-step explanation:
Given:
- height = 18 mm
- area of base = 25 mm²
Volume of a rectangular prism = area of base x height
⇒ volume = 25 x 18 = 450 mm³
