Now! what set of transformations are applied to parallelogram abcd to create a'b'c'd'? a. reflected over the x-axis and rotated 180° b. reflected over the y-axis and rotated 180° c. reflected over the x-axis and rotated 90° counterclockwise d. reflected over the y-axis and rotated 90° counterclockwise

C)  Reflected over the x-axis and rotated 90° counterclockwise.

Step-by-step explanation:

Given :  transformations are applied to parallelogram ABCD to create A'B'C'D'

To find : What set of transformations are applied.

Solution : We have given  parallelogram ABCD.

Parent coordinates :

A ( -4, 1) →→ A' (1 ,-4)

B (-3 ,2 ) →→ B' (2 ,-3)

C (-1 ,2) →→ C' (2 ,-1)

D (-2 ,1) →→ D' (1 ,-2)

By the reflection rule over x axis ( x ,y )  →→  (x , -y), and then

Rotation rule of 90° counterclockwise   (x , -y)→→ ( y , x ) .

So, the final transformation is  (x , y)→→ ( y , x ) .

Therefore, C)  Reflected over the x-axis and rotated 90° counterclockwise.

Given: A triangle QRS

Solution: 1.The side opposite ∠Q is RS.→True

2.The side opposite ∠Q is RQ.→False

3.The hypotenuse is QR.→ False,as not given which kind of triangle it is , and if it is a right angled triangle which angle is of 90°.

4.The side adjacent to ∠R is SQ.→False ,There are two adjacent sides adjacent to ∠R which are QR and RS.

5.The side adjacent to ∠Q is QS.→True, but there is also another side adjacent to ∠Q which is QR.