Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
<u>(3) Corresponding sides of △MNP and △RST</u>
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
- MN and RS
- MP and RT
- NP and ST
<u>(4) The equal measures</u>
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
- (a). the measures of ∠A and ∠T
- (c). the ratios of the sides BC/UV and AC/TV
The unequal measure is:
- (b). the perimeters of the two triangles
<u>(c) Scale mapping</u>
The scale mapping is given as:

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
Read more about similar triangles at:
brainly.com/question/14285697
<span>B) (1, 5) is your best answer
B (0,6) creates the top of the kite
D (0,2) creates the bottom
A (-1,5) creates the left side of the kite
D (1,5) creates the right side (only the x is flipped, because has congruent sides of both the top, and both the bottom.
hope this helps</span>
Be nice if we were sure of the question. I will guess that you want the hypotenuse.
c^2 = a^2 + b^2
a = 6 km
b = 6 km
c^2 = 36 + 36
c^2 = 72
c = sqrt(72)
c = sqrt(9 * 8)
c = 3*sqrt(8)
c = 3 * 2.83
c = 8.49
By remainder theorem:
f(x) = x³ - 2
factor, x - 1 = 0
x = 1,
Remainder = f(1)
f(x) = x³ - 2
f(1) = 1³ - 2 = 1 - 2 = -1.
Hence remainder is = -1.
The answer to the question