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Leno4ka [110]
3 years ago
14

triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what

parts of triangle A'B'C'are congruent to the correspoding parts of the original triangle?
Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

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Answer:

The vertex is at (1, -108).

Step-by-step explanation:

We have the function:

f(x)=3(x-7)(x+5)

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Note that this is in factored form. Hence, our roots/zeros are <em>x</em> = 7 and <em>x</em> = -5.

Since a parabola is symmetric along its vertex, the <em>x-</em>coordinate of the vertex is halfway between the two zeros. Hence:

\displaystyle x=\frac{7+(-5)}{2}=\frac{2}{2}=1

To find the <em>y-</em>coordinate, substitute this back into the function. Hence:

f(1)=3((1)-7)((1)+5)=3(-6)(6)=-108

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3 years ago
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Answer: See explanation

Step-by-step explanation:

The dimensions of the first drawing will be 1/3 the dimensions of the leaf and the dimension of the oak leaf is 5 1/2 inches. Therefore, the dimensions of the 1st leaf:

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= 1/3 × 11/2

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Step-by-step explanation:

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4 years ago
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Answer:

Step-by-step explanation:

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