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
Eduardwww [97]
3 years ago
8

Which rule describes the composition of transformations that maps ABC to A"B"C"?

Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2) ⇒ B

Step-by-step explanation:

Let us revise some rules of transformation

  • If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)
  • If The point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)
  • If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)
  • If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
  • If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)
  • If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

Look at the graph and list the vertice of each triangle

∵ A = (5, -5) and A' = (5, 5)

∵ B = (1, -2) and B' = (1, 2)

∵ C = (1, -5) and C' = (1, 5)

→ The signs of y-coordinates of all vertices of ΔABC are opposite

   in ΔA'B'C'

∴ Δ ABC is reflected across the x-axis

∴ The rule is rx-axis (x, y) → (x, -y)

∵ A' = (5, 5) and A" = (-1, 3)

∵ -1 - 5 = -6 and 3 - 5 = -2

∵ B' = (1, 2) and B" = (-5, 0)

∵ -5 -1 = -6 and 0 - 2 = -2

∵ C' = (1, 5) and C" = (-5,3)

∵ -5 - 1 = -6 and 3 - 5 = -2

→ That means every x-coordinate in Δ A'B'C' added by -6 and every

   y-coordinate add by -2

∴ Δ A'B'C' is translated 6 units to the left and 2 units down

∴ The rule is T (x, y) → (x - 6, y - 2)

The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2)

You might be interested in
PLEASE PLEASE PLEASE HELP I WILL GIVE U 25 POINTS!!!! AND MARK BRAINLIEST OR WHATEVER ITS CALLED
Lady bird [3.3K]

Answer:

A.Linear

B.exponential

C.exponential

D.quadratic

6 0
3 years ago
Read 2 more answers
What's the equivalent fraction of 8/9 and 3/11
Allushta [10]
The equivalent fraction of 8/9 and 3/11 is 61/99.

If correct please mark as Brainliest.
6 0
3 years ago
A pair of hikers, 18 miles apart, begin at the same time to hike toward each other. If one walks at a rate that is 1 mph faster
dsp73

Answer:

The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?

A. $58

B. $68

C. $78

D. $340

3 0
3 years ago
The sum of the measures of the interior angles of a convex pentagon
ipn [44]

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

180(n)

7 0
3 years ago
Please answer i need help
skad [1K]
1. 72 to 50 points
50/72 = 69%
100-69= 31% decrease

2. 14 to 40 books
14 / 40 = 35%
100-35= 65% increase

3. 10 plus 30% increase
10 * 0.3 = 13
8 0
2 years ago
Read 2 more answers
Other questions:
  • Simplify your answer (3j+4)^2
    7·1 answer
  • Trevor needs new bike tires. His bike tires have a circumference of about 113.04 inches. What is the diameter of his tires?
    14·1 answer
  • True or false the product of a mixed number between four and five and affection between zero and one is always less than four
    5·2 answers
  • Which economic indicator is the measure of all goods and services produced within a given economy in one year?
    8·1 answer
  • 6.4n-10=4.4n+6 solve for n
    7·1 answer
  • Write eight hundred twenty six and four hundredths in standred form
    11·1 answer
  • 25-b2=4b it is quadratic?​
    11·2 answers
  • Factor completely.<br> 28 – 7x2
    13·1 answer
  • Katie has 4 grape candies and 3 cherry candies. The ratio of the mumber of grape candies to the total number of candies is what?
    6·2 answers
  • X(x-5) (x+5) - (x+2) (x^2 - 2x +4) = 17
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!