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

Only one Statement is True :

Step-by-step explanation:

Given :

Vertices of triangle ACB: A(-4,4), C(-1,3), B(-4,0)

Vertices of triangle YZX: Y(8,8), Z(6,2), X(0,8)

Calculation :

After the clockwise rotation.  

Rule for this transformation:  

After the transformation vertices of triangle ACB becomes

A'(4,4); C'(3,1); B'(0,4)  

Second transformation is a dilation with a scale factor of 2 from the origin.

Rule for this transformation:

After the transformation vertices of triangle A'C'B' becomes

A"(8,8); C"(6,2); B"(0,8)  

By comparing the two triangles A"C"B" and YZX, we can see that coordinates of A" and Y, C" and Z, B" and X are same.  

Rotation is a rigid transformation, because both lengths and angles were preserved.   But dilation is not a rigid transformation because lengths are not preserved but angles are preserved.

Therefore,

Therefore, only one statement is true and that is,

For more information, refer the link given below

link

The coordinates of the triangle and the list of statements to choose which one is true are:

Triangle ACB:

Ttriangle XYZ:

Statements:

Explanation:

A rotation 90° clockwise is the same that a rotation 270° counter-clockwise.

The rule for this transformation is:

Thus, applying that rule to the vertices A, C, and B you get:

The second transformation is a dilation with a scale factor of 2 from the origin. The rule for this transformation is:

Applying that rule to the vertices A', C', and B', you get:

To compare the two triangles BAC and XYZ, you must keep the order of the letters:

The rotation is a rigid transformation, so both lengths and angles were preserved.

Dilation is not a rigid transformatio, because lengths are not preserved, nevertheless angles are preserved.

Hence, the corresponding angles were preserved:

Therefore, from the choices, the only true statement is ∠A ≅ ∠Y.

answer is 12345678900987654321234567890987654321

step-by-step explanation:

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake