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
13

A rhombus has coordinates A(-6, 3), B(-4, 4), C(-2, 3), and D(-4, 2). What are the coordinates of rhombus A′B′C′D′ after a 90° c

ounterclockwise rotation about the origin followed by a translation 3 units to the left and 2 units down?
Mathematics
2 answers:
Liula [17]3 years ago
7 0

We are given that the coordinates of the vertices of the rhombus are:
<span><span>A(-6, 3)
B(-4, 4)
C(-2, 3)
D(-4, 2)

To solve this problem, we must plot this on a graphing paper or graphing calculator to clearly see the movement of the graph. If we transform this by doing a counterclockwise rotation, then the result would be:
</span>A(-6, -3)</span>
B(-4, -4)
C(-2, -3)
D(-4, -2)

 

And the final transformation is translation by 3 units left and 2 units down. This can still be clearly solved by actually graphing the plot. The result of this transformation would be:

<span>A′(6, -8)
B′(7, -6)
C′(6, -4)
D′(5, -6)</span>

OLEGan [10]3 years ago
7 0

Answer:

A'(-6, -8)

B'(-7, -6)

C'(-6, -4)

D'(-5, -6)

Step-by-step explanation:

The 90 ° rotation rule counterclockwise on the origin is:

(x, y) -> (-y, x)

Rotating the rhombus in the given coordinates, we have

A(-6, 3) -> A'(-3, -6)

B(-4, 4) -> B'(-4, -4)

C(-2, 3) -> C'(-3, -2)

D(-4, 2) -> D'(-2, -4)  

The translation rule is:

(x, y) -> (x + h, y + k)

Where

h = horizontal change = - 3 (3 units to the left)

k = vertical change = - 2 (2 units down)

When translating, the following coordinates are obtained:

A'(-3, -6) -> A'(-3-3, -6-2) -> A'(-6, -8)

B'(-4, - 4) -> B'(-4-3, -4-2) -> B'(-7, -6)

C'(-3, -2) -> C'(-3-3, -2-2) -> C'(-6, -4)

D'(-2, -4) -> D'(-2-3, -4-2) -> D'(-5, -6)

The final coordinates are:

A'(-6, -8)

B'(-7, -6)

C'(-6, -4)

D'(-5, -6)

Hope this helps!

You might be interested in
Pls help I hate math rectangular prism
nekit [7.7K]

Answer:

352.5cm^{2}

Step-by-step explanation:

A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}

8 0
2 years ago
8.618 divided by 0.695
kramer

Answer:

<em>8.618 divided by 0.695</em><em>=</em><em> </em><em>12.4</em>

<em>hope this helps</em><em> </em><em><</em><em>3</em>

7 0
3 years ago
If the subtotal (the cost of all the items bought) is $110.00, what is the sales tax if the rate is 8.25%?
lukranit [14]
Good question , don’t really know but use photo math or there’s an link for you
6 0
3 years ago
P=s1+s2+s3 solve for s3
tresset_1 [31]

P=s1+s2+s3

Move +s1 to the other side. Sign changes from +s1 to -s1

P-s1=s1-s1+s2+s3

p-s1=s2+s3

Move s2 to the other side. Sign changes from s2 to -s2

p-s1-s2=s2-s2+s3

p-s1-s2=s3

Answer: p-s1-s2=s3

6 0
3 years ago
I need help on this question!
lord [1]

Answer:

If A = 8, B = 5

If A = 20, B = 3

Step-by-step explanation:

4x²(2x³ + 5x)

8x⁵ + 20x³

If A = 8, B = 5

If A = 20, B = 3

4 0
3 years ago
Other questions:
  • Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes
    15·1 answer
  • If x equals 12, find the value of x2​
    12·2 answers
  • How do I factor out the coefficient of the variable -5p+20
    9·1 answer
  • What is the function graphed below?
    8·1 answer
  • A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
    11·1 answer
  • Find, in terms of π, the surface area of a sphere generated by rotating a semicircle of radius 6 inches about its diameter.
    7·1 answer
  • I really need help can ya'll please help. ://<br> Thank you
    5·2 answers
  • What are the sides of each figure
    6·1 answer
  • Please help me and I'll give you this beautiful tiara.... ( which means I'll mark you brainlist for the correct answer and best
    15·2 answers
  • Two step equation<br><br> x + 9/2 = 3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!