1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
13

Consider statements in the table shown. Select True or False for each statement about the sequences of transformations that can

Mathematics
1 answer:
Ber [7]3 years ago
5 0

Answers:

  1. True
  2. False
  3. True

==========================================================

Explanation:

Point A is at (-3, 4). If we apply the translation rule of "shift 9 units to the right and 6 units down", then we apply this transformation

(x,y) \to (x+9,y-6)

We add 9 to the x coordinate and subtract 6 from the y coordinate.

So (-3,4) becomes (-3+9, 4-6) = (6, -2) which is where point A' is located in the diagram. You should find that points B,C,D all map to B', C', D' following this same translation rule.

Therefore, statement 1 is true.

Statement 3 is the same idea, but the order has been swapped. The order doesn't matter in this case. So that makes statement 3 true as well.

-----------------------------------------------

Statement 2 on the other hand is false

Why? Because a reflection reverses the orientation of a figure. Note how both squares ABCD and A'B'C'D' all go clockwise when we go through the alphabet (ie A to B to C to D).

If a reflection happened, then A'B'C'D' would go counterclockwise and show that the orientation has been swapped. I recommend drawing an analogue clock and going up to a mirror to see that the orientation has swapped.

To swap the orientation back, you need a second reflection. This shows that two reflections either lead to a translation or a rotation (depending if the mirror lines are parallel or not).

If you wanted, you could track to see where point B ends up if you follow statement 2. Point B is at (-1, 4). Reflect over the y axis to get to (1, 4). Then shift 6 units down to arrive at (1, -2) which is not the correct location of B'. The diagram shows B' is actually at (8, -2). So this is an alternative way to see how statement 2 is false.

You might be interested in
(13m^3n)(5m^2n^2)<br><br> :)
Liula [17]

Answer:

65m^5n³

Step-by-step explanation:

(13m³n¹)(5m²n²)

GROUP LIKE TERMS

(13×5)(m³+²)(n¹+²) <Remember to use exponential laws

65m^5n³

8 0
3 years ago
Provide an example of how a free press is an essential component of a democracy
Pepsi [2]

Answer:

Free press is essential since the government does not control the press.

Step-by-step explanation:

For example, the Untied States has free press so authors can spread information (whether for good or evil) while other countries like China control their press and access to press outside of their country, making it much harder for citizens to see the world from another perspective rather than what the government is willing to tell them.

Since the United States is a democracy, it is important to allow their citizens to have the right to speech and the press if people want to form opinions of their own.

6 0
3 years ago
Adventureland Amusement Park has a Ferris wheel with a diameter of 240 feet. How far would a person travel in one revolution of
UkoKoshka [18]

Answer:

3,600 ft

Step-by-step explanation:

so you would divide 240 in half and get 120 and then you would multiply 120 and 360 because the Ferris wheel is a circle and then you would divide by 12 because there is 12 inches in a foot and get your final answer 3,600 feet

3 0
3 years ago
Sam says 90 ÷ (–9) = 10. Is he correct? Use the drop–down menus to explain your answer.
SashulF [63]

Answer:

No.

Step-by-step explanation:

Sam is incorrect because if you look at the original problem, you'll see that he has missed the negative sign!

90 / 9 does equal 10, but 90 / -9 equals -10.

The only way to get a positive answer is if both the divisor and dividend are positive or if they are both negative.

Thus, the correct answer should be -10.

3 0
3 years ago
I buy a car for 24,000 dollars. My car depreciates 11% per year. How much will it cost after 5 years?
andrey2020 [161]
24000x0.11x5

then solve.
7 0
3 years ago
Other questions:
  • A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is
    9·1 answer
  • This is a really easy question Just need to make sure it is right. Is it B
    5·2 answers
  • Which pair of numbers below are NOT opposites?
    10·1 answer
  • A number, n, is multiplied by negative 5/8. The product is negative 0.4. What is the value of n?
    13·2 answers
  • A football player ran for a 9 yard touchdown. How many feet is this?
    9·2 answers
  • 6. Solve for x in the equation x + 10 = 15.<br> © A. x = 25<br> © B.x=5<br> O C.x= 10<br> O D.x=-5
    12·1 answer
  • 1.901, 1.091, 1.9, 1.991, 1.919, 1.019 from least to greatest plz
    8·2 answers
  • 178·37−37·78 <br> Plz find in binary<br> If not able: Say no solution.
    5·1 answer
  • What is the approximate circumference of a circle that has a radius of 6 units? Round your answer to the nearest tenth.
    6·1 answer
  • Please help I don’t understand this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!