Triangle abc is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. which statement describes the properties of triangles abc and a''b''c'' after the transformations? ∠c and ∠c'' are congruent after both the translation and the dilation. ∠c and ∠c'' are congruent after the dilation, but not after the translation. segment ac and segment a double prime c double prime are congruent after both the translation and the dilation. segment ac and segment a double prime c double prime are congruent after the dilation, but not after the translation.

Among the given statements the one which describes the properties of

Δ ABC and Δ A"B"C" is,

∠C and ∠C" are congruent after both the translation and dilation.

Step-by-step explanation:

Δ ABC is translated by the rule (x +1, y +1) and then dilated by a scale factor of 2 centered at the origin and the new triangle which we get is named as         Δ A"B"C" .

Now, among the given statements the one which describes the properties of

Δ ABC and Δ A"B"C" is,

∠C and ∠C" are congruent after both the translation and dilation.

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step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.