Which image shows a counter-clockwise rotation of the blue quadrilateral pqrs 90° around the origin?

The missing figure is attached below.

The first image from left.

Step-by-step explanation:

Given:

Rotation of the quadrilateral PQRS by 90 degree counterclockwise around the origin.

We know that, for a 90 degree counterclockwise rotation, the transformation rule for the coordinates is given as:

So, the 'x' and 'y' interchange their values after rotation and the 'y' value sign is reversed.

Now, let us check each option.

Option 1:

Coordinates of the original quadrilateral are:

P(5, 2.5), Q(1, 4), R(2, 2.5), and S(1, 1)

Now, after rotation by 90 degree counterclockwise, the coordinates of the transformed figure will be:

. So,

P(5, 2.5) → P'(-2.5, 5)

Q(1, 4) → Q'(-4, 1)

R(2, 2.5) → R'(-2.5, 2)

S(1, 1) → S'(-1, 1)

Now, if we check the coordinates of P', Q', R' and S' on the first option, we see that they are same as calculated above. So, the correct option is option 1.

Option 2:

Coordinates of P are (5, 2.5) and coordinates of P' are (2.5, -5) which doesn't match with the transformation rule. So, this option is incorrect.

Option 3:

Coordinates of P are (5, 2.5) and coordinates of P' are (-5, 2.5) which doesn't match with the transformation rule. So, this option is incorrect.

The answer is d 18ft

The skating rink rented 872 pairs of skates during april and may.why? : if the skating rink rented three times the pair of skates in april during may, they rented 654 skates. 218 x 3 = 654then, if they want to know how many they rented during both april and may, then you just add 654 (may) and 218 (april) to give you 872 pairs of skates for both months.654 + 218 = 872hope this !