A triangle has the vertices at A(1,3), B(4,2), and C(3,8). What transformation would produce an image with the vertices A’(3,-1),B’(2,-4), C’(8,-3)? A) Reflection over the x axis

B) Reflection over the line y=x

C) Rotation 90° CW about the origin

D) Rotation 180° about the origin

9514 1404 393

  C) Rotation 90° CW about the origin

Step-by-step explanation:

The transformation for rotation CW 90° is ...

  (x, y) ⇒ (y, -x)

This is apparently the transformation that gets ...

  A(1, 3) ⇒ A'(3, -1)

__

Additional comment

Attached is a list of the commonly used transformations for your reference.

Theirhgghh

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )