Which of the following compositions will map figure z onto figure r and then onto figure j? a. clockwise rotation and translation b. glide reflection c. reflection and rotation d. double reflectioni think its c but i don't know

D

Step-by-step explanation:

Reflect Z across y-axis. This maps point Z (1,2) onto (-1.2). Then reflect across the x-axis by moving point (-1,2) to (-1,-2).

 The correct option is (D) double reflection.

Step-by-step explanation:  We are given to select the correct composition that will map figure Z onto figure R and then onto figure J.

From the figure, we note that

the co-ordinates of the vertices of the figure Z are (0, 2), (1, 2), (4, 5) and (1, 4).

The co-ordinates of the vertices of the figure R are (0, 2), (-1, 2), (-4, 5) and (-1, 4).

The co-ordinates of the vertices of the figure J are (0, -2), (-1, -2), (-4, -5) and (-1, -4).

We know that, if a point is getting reflected over Y-axis, then its co-ordinates will change according to the rule (x, y) ⇒ (-x, y).

So, if the figure Z is reflected over Y-axis, then its co-ordinates will become

(0, 2)  ⇒  (0, 2),

(1, 2)   ⇒  (-1, 2),

(4, 5)  ⇒  (-4, 5)

and

(1, 4)  ⇒  (-1, 4).

These are the co-ordinates of the vertices of figure R, so first transformation is a reflection.

Again, if we reflect the figure R over X-axis, then the co-ordinates of the vertices will change according to the rule (x, y) ⇒ (x, -y).

So, the vertices of figure R will become

(0, 2)  ⇒  (0, -2),

(-1, 2)   ⇒  (-1, -2),

(-4, 5)  ⇒  (-4, -5)

and

(-1, 4)  ⇒  (-1, -4).

Thus, the required compositions that will map figure Z onto figure R and then onto figure J are reflection and reflection, .i.e., double reflection.

Option (D) is the correct option.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

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step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or