Choose three non-collinear points on the coordinate plane, making sure none of your points is the origin. On a sheet of paper, graph the three points and draw line segments to connect the points and make a triangle. Label the vertices of the triangle A, B, and C. Now describe the new coordinates of points A, B, and C after the following transformations: Translation of point A around the origin 90° rotation around point B Reflection of the triangle across the x-axis

I chose the next points:

A(1, 1)

B(2, 3)

C(3,2)

In the picture attached, the triangle is shown.

Translation of point A to the origin

The new triangle is:

A'(0, 0)

B(2, 3)

C(3,2)

90° rotation around point B

90°counter-clockwise rotation about the origin transforms (x, y) into (-y, x)

90°counter-clockwise rotation around a point  (2,3) is doing as follows: subtract the point, rotate around origin, add the point back:

A(1,1) → (-1, -2) → (2, -1) → A'(4, 2)

C(3,2) → (1, -1) → (1, 1) → C'(3,4)

The new triangle is:

A'(4, 2)

B(2, 3)

C'(3,4)

Reflection of the triangle across the x-axis

Reflection across x-axis transforms (x, y) into (x, -y). Then:

A(1, 1) → A'(1, -1)

B(2, 3) → B'(2, -3)

C(3,2) → C'(3,-2)

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)