Which composition of transformations will create a pair of similar, not congruent triangles?

Mathematics

1 answer:

PIT_PIT [208]2 years ago

4 0

Answer:

The answer is a rotation, then a dilation.

Step-by-step explanation:

They all create congruent images. A dilation is a transformation that creates an image that is the exactly same shape as the original, but have a different size

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Which linear inequality represents the solution set graphed?

postnew [5]

Answer:

Correct option is C

Step-by-step explanation:

First, find the equation of the boundary line. This line passes through the points (0,-3) and (-2,1). Then it has equation

$\dfrac{x-0}{-2-0}=\dfrac{y+3}{1+3},\\ \\4x=-2(y+3),\\ \\y=-2x-3.$

In the attached diagram this boundary line is solid, then the sign of the inequality should be with "or equal to" notion (≤ or ≥). Thus, options A and B are false.

The line divides the coordinate plane into two parts and you have to determine which part to choose. The origin does not lie in the shaded region, then its coordinates cannot satisfy the inequality. Check options C and D.

$0\le -2\cdot 0-3\ (0\le -3)$ - origin does not satisfy (option C is correct);