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
solniwko [45]
3 years ago
9

What is the sequence of transformations that maps △ABC to △A′B′C′ ? Select from the drop-down menus to correctly identify each s

tep. Step 1: Step 2: Two triangles on the coordinate plane. Triangle A B C has vertex A at 7 comma negative 1, vertex B at 2 comma negative 3, and vertex C at 2 comma negative 1. Triangle A prime B prime C prime has vertex A prime at negative 3 comma 7, vertex B prime at negative 1 comma 2, and vertex C prime at negative 3 comma 2.

Mathematics
1 answer:
torisob [31]3 years ago
5 0
<h3>Answer:</h3>

Any 1 of the following transformations will work. There are others that are also possible.

  • translation up 4 units, followed by rotation CCW by 90°.
  • rotation CCW by 90°, followed by translation left 4 units.
  • rotation CCW 90° about the center (-2, -2).
<h3>Step-by-step explanation:</h3>

The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.

The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is <em>a sequence of transformations</em> involved, so a single rotation is probably not of interest.

If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.

If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.

Of course, rotation 90° CCW in either case is the same as rotation 270° CW.

_____

We have described transformations that will work. What we don't know is what is in your drop-down menu lists. There are many other transformations that will also work, so guessing the one you have available is difficult.

You might be interested in
Select all expressions equivalent to<br>3 ¹/2 * 4 + 1 *5 + 6 * 0.5​
Paraphin [41]
The first one bc ye jsksshsksjsksksks
3 0
2 years ago
What is the median of this data set?<br> 22, 37, 49, 15, 12
blsea [12.9K]

Answer:

the answer is 22

Step-by-step explanation:

12,15,22,37,49

since 22 is in the middle its the median (make sure you put the #'s from least to greatest)

6 0
1 year ago
Read 2 more answers
Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
Gnoma [55]

Sum/difference:

Let

x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}

This means that

3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}

Now, assume that x is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that x was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

x = -15\sqrt{8}

if again we assume x to be rational, we have

\sqrt{8} = -\dfrac{x}{15}

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

7 0
2 years ago
In ΔUVW, the measure of ∠W=90°, the measure of ∠V=71°, and VW = 55 feet. Find the length of UV to the nearest tenth of a foot.
Katarina [22]

Answer:

168.9 feet

Step-by-step explanation:

7 0
2 years ago
Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
docker41 [41]
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

7 0
3 years ago
Other questions:
  • NEED THIS NOW PLZZ!!!
    13·1 answer
  • Find the missing factor.<br> 8x2 - 15x + 7 = (8x - 7)(<br> )
    7·1 answer
  • Find the surface area of a rectangular prism that is 16inches long, 12inches wide, and 5 inches high
    7·2 answers
  • How long was the distance Jen drove in 2 1/3 of an hour, if she was driving at a speed of 45 3/7 mph then how many miles did she
    13·1 answer
  • Solve. -7x+29=6(8+3x)<br> x=
    14·1 answer
  • If Logan(3)=5, what is the value of a^5?​
    13·2 answers
  • Can sb pls solve this?​
    7·1 answer
  • Find an expression for a rational function f(x) that satisfies the conditions: a slant asymptote of y = 2x, vertical asymptote a
    7·1 answer
  • Which expression is equivalent to the fifth power of (5 + 7)"?<br> ​
    15·1 answer
  • Consider: f(x) = 1/2(3)^x and g(x) = -1/2(3)^-x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!