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
liraira [26]
3 years ago
9

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

You might be interested in
Draw a number line to show that 2/3 and 6/10 are equivalent
slega [8]
Well thing is cant draw a line and 6/10 and 2/3 isnt equialent
8 0
3 years ago
The cost, ox), for a taxi ride is given by o(x) = 3x + 2.00, where x is the
PSYCHO15rus [73]

Answer:

Since this is time and cost, we have no need for negatives, so we begin our graph at the origin (0, 0).  At 0 minutes, the cost would be $2.00, so 2 is our y-intercept.  For each successive minute, the cost goes up $3, so we go from (0, 2) to (1, 5), then to (2, 8), etc.n:

BRAINLIEST HACKS :))))) LOLO

4 0
3 years ago
"Find the point of intersection for each system of linear equations. Which method did you use &amp; why?"
lisabon 2012 [21]
Set each equation to get Y by its self
Then set the equations equal to each other and solve for X
Easy(:
8 0
3 years ago
Lena’s guest house is 15 m long and 12 m wide. How long is the diagonal of the house?
Georgia [21]
Lena’s guest house is 8 m long
3 0
2 years ago
Read 2 more answers
A rettangle is 10 inches smaller than it is wide. The perimeter of the
meriva

Answer:

A. Width = 25   Length = 15

Step-by-step explanation:

Length = L = Width - 10

Width = W

Perimeter of a rectangle

=> 2 (L + B) = 80

=> 2 (W - 10 + W) = 80

=> 2 (2W - 10) = 80

=> 4W -20 = 80

=> 4W -20 + 20 = 80 + 20

=> 4W = 100

=> 4W/4 = 100/4

=> W = 25

Width = 25

Length = 25 - 10 = 15

So, the answer is A.

6 0
3 years ago
Other questions:
  • Erica has a 18% discount coupon for an electronics store.she sees a new television that she wants to buy. After the 18% discount
    11·1 answer
  • Let's consider a jar consists of 20 marbles. 12 are red and 8 are green. John picked 2 marbles at random. What is the probabilit
    10·1 answer
  • What is the answer for 2 1/5 •4/1
    10·2 answers
  • 3-2(1+2)?<br> 1 (1+2) <br> 1+2<br> 3
    14·2 answers
  • What is the value of h in the figure below?
    12·2 answers
  • The spinner on the right is divided into five equal-sized sectors. What is
    15·1 answer
  • What is blank _+ 5 = 5 + 9 ?<br><br> And 16 • 4 = • 16?
    5·1 answer
  • Simplify (8-7i)(-6+i)
    10·1 answer
  • A circle is divided up into 24 equal pieces. What percentage of the total circle area will each piece be? Round to the nearest p
    13·2 answers
  • To solve this system of equations using substitution, what could be substituted in place of y in the first equation? 4x = 5 − 2y
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!