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
Nuetrik [128]
3 years ago
10

You rotate a triangle 90° counterclockwise about the origin. Then you translate its image 1 unit left and 2 units down. The vert

ices of the final image are (-5,0),(-2,2) and (-2,-1) . What are the vertices of the original triangle?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

The coordinates of the original triangle are (2,4). (4,1) and (1,1)

Step-by-step explanation:

About the origin, I have to rotate a triangle 90° counterclockwise. Then I translate its image 1 unit left and 2 units down.

The vertices of the final image are (-5,0), (-2,2), and (-2,-1).

We need to get the vertices of the original triangle.

So, start from a triangle with vertices (-5,0), (-2,2), and (-2,-1) and do the reverse to get the original triangle.

So, we will translate the image triangle by 1 unit right and 2 units up and we will get the triangle with vertices (-5 + 1, 0 + 2), (- 2 + 1, 2 + 2) and (- 2 +1, - 1 + 2)  ≡ (-4,2), (-1, 4) and (-1,1).

Now, we have to rotate this intermediate triangle by 90° clockwise.

Therefore, the coordinates of the original triangle are (2,4). (4,1) and (1,1) (Answer)

{Since, for 90° rotation the coordinates of all the vertices will interchange their location (i.e. x-value to y-value and y-value to x-value) and a negative sign will be added to the y-coordinate of the interchanged coordinates}  

You might be interested in
Simplify -24/(-3)X(-4)​
beks73 [17]

Answer:

- 2

Step-by-step explanation:

\frac{-24}{(-3)(-4)} = \frac{-24}{12} = - 2

5 0
2 years ago
Given that y = } 1/2(x1 + x2)c, what is y when X 1 = 3, X2 = 5, and c = 6?
vampirchik [111]

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24

7 0
3 years ago
1/4 2/10 correct comparison answer
lubasha [3.4K]
Not exactly

2/10 = .2
1/4 = .25

1/4 is 0.05 bigger than 2/10
4 0
3 years ago
Read 2 more answers
Which graph below has an x intercerpt of four and a white intercerpt of negative two
sergiy2304 [10]

Answer: you need to add a picture, otherwise we don’t know how to help you answer that questions

Step-by-step explanation:

7 0
3 years ago
Venus is about 7.2 x 10-1 AU from the Sun. Mars is about 1.5 AU from the Sun.
ziro4ka [17]
Venus is the awnser to that question
3 0
3 years ago
Other questions:
  • What is the product of -9p and (-4)
    5·2 answers
  • Write a compound inequality that represents each situation. Graph your solution all real numbers that are greater than –8 but le
    7·2 answers
  • How are the partial products 2000 and 150 related to 2150
    5·2 answers
  • What is the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake? Round the answer to the near
    5·2 answers
  • When comparing proportional relationships, is important to
    14·1 answer
  • What is the area of a triangle with a base of 5 units and a height of 15 units
    5·2 answers
  • Fewer than is right? my brain isnt working rn
    12·1 answer
  • 10. Sonia paid $ 19.55 for 3.4 pounds of salmon. What is the price per pound of the salmon?​
    8·1 answer
  • This cylinder has a volume of 392\pi392π cubic inches and a diameter of 14 inches. Find the radius and the height.
    9·1 answer
  • Question 5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!