Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true? coordinate plane with triangles ACB and XYZ with A at negative 4 comma 4, C at negative 1 comma 3, B at negative 4 comma 0, X at 0 comma 8, Y at 8, comma 8, and Z at 6 comma 2

A. ∠B ≅ ∠X
B. ∠A ≅ ∠Z
C. ∠C ≅ ∠X
D. ∠Y ≅ ∠B

Option D.

Step-by-step explanation:

Transformations like Rotation, Translation, Reflection and Dilation are the types of rigid transformations.

And in rigid transformation shape and size of the figure remains the same.

Therefore, rotation of triangle ABC by 90° clockwise and dilation by a scale factor of 2 about the origin are the types of rigid transformation making no change in angles of ΔABC.

∠A ≅ ∠X

∠B ≅ ∠Y

∠C ≅ ∠Z

Option (D) will be the correct options.

A. <B = <X

Step-by-step explanation:

Its because when you rotate something by 90 degrees clockwise you rotate it to the right. so if you rotate it to the right you will get the same as XYZ and now you just need to see which matches the angles. B. cannot be because if we use the rotation of 90 degrees then angle A would be congruent to angle Y. C. cannot be because using the 90 degrees rotation angle C would be congruent to angle Z. D. cannot be because using the 90 degrees rotation angle Y would be congruent to angle A. So that leaves us with answer A.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answer: download photomath it's legit.

step-by-step explanation: