What set of Reflections and rotations could carry ABCD onto itself?

Mathematics

2 answers:

Nitella [24]3 years ago

6 0

Reflect over y-axis,reflect over the X axis ,rotate 180°

Option D is the correct option.

Explanation:

Let's take point A which is (4,-1)

Reflection over y- axis will make this point (4,1)

Then, reflection over X axis will make this point (4,-1)

After rotation of 180 degree we will get (-4,1) .

Please see the attached picture....

Hope it helps...

Good luck on your assignment...

AURORKA [14]3 years ago

4 0

Answer: d) reflect over the x-axis, reflect over y-axis, rotate 180°

Step-by-step explanation:

A reflection over the x-axis and a reflection over the y-axis is the SAME as a rotation of 180°. Together they make a rotation of 360°, which results in the image staying at the same place.

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y) → Z' = (x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y) → Z'' = (-x, -y)

Rotation of 180° changes the signs of both the x- and y-coordinates

Z'' = (-x, -y) → Z''' = (x, y)

You might be interested in

Graph the line with slope 4 and y-intercept -7

antoniya [11.8K]

Start on -7 since it is the y intercept(b). 4/1 is the slope. So from seven you would go up 4 right 1.

7 0

3 years ago

Read 2 more answers

Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro

nikklg [1K]

The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4

6 0

3 years ago

Somebody help me plz

larisa86 [58]

A is the correct answer

8 0

3 years ago

Read 2 more answers

I don’t know how to do this XD plzzzz help meh

AveGali [126]

Answer:

D) 5/2 divided by 8/6