We call m the slope<span> or gradient of the </span>line<span>. It </span>represents<span> the change in y-value </span>per<span> unit change in x-value. For example, consider the </span>line<span> given by the equation y = 2x + 1. Here are some points on the </span>line<span>. ~hope that helps</span>
Congruent shapes are the same, so its safe to say that congruent shapes must also be similar.
In any given right triangle, the Pythagorean Theorem can be used to show that it is a right triangle.
The Pythagorean Theorem is a^2+b^2=c^2. In a right triangle, a and b would be the shorter legs of the triangle, while c would be the hypotenuse.
So for this problem, you would plug in the numbers in the order that they are listed to see if it is a right triangle.
F would be: 2^2+4^2=7^2. In this case, the sides are not equal.
G would be: 6^2+8^2=10^2. In this case, 100=100. So this is a right triangle.
H would be: 4^2+9^2=12^2. The sides are not equal.
J would be: 5^2+10^2=15^2. The sides are not equal.
Your answer would be G, since the sides are equal. Hope this helps! :)
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