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
8090 [49]
3 years ago
10

Triangle RST is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures?

ΔRST ≅ ΔACBΔRST ≅ ΔABCΔRST ≅ ΔBCAΔRST ≅ ΔBAC

Mathematics
2 answers:
poizon [28]3 years ago
8 0

So the new answer should be BAC▲RST

Hope that helps

Mazyrski [523]3 years ago
7 0

Answer: ΔRST ≅ ΔBAC


Step-by-step explanation:

We know that  To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).

Thus, The coordinates of Δ RST becomes

R (1,1) → R'(-1,-1)

S (3,4) → S'(-3,-4)

T(-5,0) → T'(5,0)

Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)

R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B

S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A

C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C

As rotation and translation both are rigid transformation that maps only congruent figures.

Therefore, ΔRST ≅ Δ BAC


You might be interested in
What is the mean median mode and range of the numbers 31 28 30 31 30 ...?
mamaluj [8]
1. Mean is the number you get when you add all these numbers and then divide by the number of numbers. So, (31 + 28 + 30 + 31 + 30) / 5 = 150 / 5 = 30
2. The median is the middle number in the list of numbers, so, the answer is 30 as well.
3. Mode is the number that appears most often, so here it is 30 and 31 because they both appear 2 times.
4. Range is the difference between the largest and smallest number, so 31 - 28 = 3. 
5 0
2 years ago
HELP PLEASE ! find the area of the shape below
White raven [17]

Answer:

area = 202.5 yd²

Step-by-step explanation:

area = (15 x 12 ) + (3)(15)(0.5)

area = 180 + 22.5 = 202.5 yd²

8 0
3 years ago
Read 2 more answers
Find the range of the function f(x) = 3x² - 2x for the domain (1, 2, 3).
TiliK225 [7]

Answer:

Step-by-step explanation:

4 0
1 year ago
SOMEONE DO NUMBER 1 AND 2 FOR ME, ILL GIVE BRAINLIEST
amid [387]

Answer:

1. The second number line, the third number line, the first number line.

2.

a) \: 1 \frac{7}{8}  >  \frac{7}{4}

b) \:  \frac{21}{5} =  4 \frac{1}{5}

c) \frac{13}{4} <  3 \frac{5}{6}

8 0
2 years ago
What is the value of x?
Reptile [31]

Answer:

....................

4 0
3 years ago
Other questions:
  • Find the range of the function:
    7·1 answer
  • PLEASE HELP ILL MARK BRAINLIEST
    13·1 answer
  • Can someone help me with this one pls if you do thanks you sm !
    14·2 answers
  • What single decimal multiplier would you use to decrease by 12% followed by a 4% increase
    12·1 answer
  • What is the coefficient of q in the sum of these two expressions? (23q – 34) and (–16q – r) NEED HELPPP
    14·1 answer
  • (-8,3)(-3,-4.5) what is zero of g?​
    9·1 answer
  • 7 x [(7+7) divided 7] =
    5·2 answers
  • The equation for the circle is: x2+y2+4x+2y−56=0 . What is the center of the circle? Enter your answer by filling in the boxes.
    6·2 answers
  • Which phrase is a description of 3n + 5?
    10·1 answer
  • Hi, so I know the answer to this problem (now that I got it wrong) but I'm not quite sure why I was wrong, help?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!