Triangle abc undergoes a series of transformations to result in triangle def .

is triangle def congruent to triangle abc ?

select congruent or not congruent for each description.

1) Congruent

2) Not congruent

3) Congruent

Step-by-step explanation:

We know that a rigid transformations preserves side-lengths and angle measures of a figure in such a way that the figure doesn't shrink or get enlarger. It creates congruent figures.

    a) reflections, b) rotations, c) translations

On the other hand a dilation changes the size of the image when the scale factor is not equal to 1. It does not produces congruent images.

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step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180