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Stolb23 [73]
4 years ago
5

Which combination of transformations can you use to show that one shape is congruent to another? A. dilations and reflections B.

reflections and stretches C. rotations and translations D. reflections, dilations, and translations E. rotations, translations, and dilations
Mathematics
1 answer:
lesya692 [45]4 years ago
6 0

Question

Which combination of transformations can you use to show that one shape is congruent to another?

A. dilations and reflections

B. reflections and stretches

C. rotations and translations

D. reflections, dilations, and translations

E. rotations, translations, and dilationsANSWER -


ANSWER -

The correct answer to this is:

ROTATIONS AND TRANSLATIONS


Reflection and rotation can also be used but since their both grouped with dilations, they can't be used. When dilation is used, the size of the shape is changed and congruence won't be possible anymore . That's why the answer is the first option.




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2. Abby found the axis of symmetry, x-coordinate, the vertex, and y-intercept
krek1111 [17]

Using quadratic function concepts, it is found that Abby made a mistake on the coordinates of the vertex, which are (-4,1).

----------------------

  • A quadratic function is defined by:

y(x) = ax^2 + bx + c

  • The y-intercept is given by point: (0, y(0))
  • The vertex is given by: (-\frac{b}{2a}, y(-\frac{b}{2a})).
  • The axis of symmetry is: x = -\frac{b}{2a}

----------------------

The function given is:

f(x) = -x^2 - 8x - 15

  • Which is a quadratic equation with: a = -1, b = -8, c = -15.
  • f(0) = -0^2 - 8(0) - 15 = -15, thus, the y-intercept is (0, -15).

x_v = -\frac{b}{2a} = -\frac{(-8)}{2(-1)} = \frac{8}{-2} = -4

  • Thus, the <u>x-coordinate of the vertex</u> is x = -4, which is the same as the <u>axis of symmetry</u>.

f(-4) = -(-4)^2 - 8(-4) - 15 = 1

  • The vertex is given by: (-4,1).

A similar problem is given at brainly.com/question/14680175

8 0
3 years ago
I need advice!
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Y=-a
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s344n2d4d5 [400]

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124.71

Step-by-step explanation:

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