Iam very confused

which translation will change figure abc to figure a'b'c'?

a coordinate plane is shown. figure abc is composed of coordinates a, negative 4 comma negative 1, b, negative 1 comma negative 1, c, and negative 2 comma negative 3. figure a prime, b prime, and c prime is composed of coordinates a prime, 0 comma 2, b prime, 3 comma 2, c prime, 2 comma 0.

The transformation is the function such that , that is, a translation of 4 units right and 3 units up.

Step-by-step explanation:

Notice that if you sum 4 to the first coordinate of the vertices of figure ABC, you will get the first coordinates of figure A'B'C', and if you do the same with second coordinates, but if you sum 3 to them, you will get the second coordinates of figure A'B'C', then, the transformation you are looking for is the one that sums 4 to the first coordinate and 3 to the second coordinate of every point of .

Then, define a function , such that  , and that is your translation.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?