answer.
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
Trava [24]
1 year ago
14

I(5, 3), J(5, -3), and L(-4, 3) are three vertices of rectangle IJKL. What are the coordinates of the fourth vertex, K, of recta

ngle IJKL? A. (-4, -3) B. (5, 3) C. (5, -3) D. (-4, 3)
Mathematics
2 answers:
Ad libitum [116K]1 year ago
6 0

Answer:

A. K(x,y) = (-4,-3)

Step-by-step explanation:

On a cartesian plane, rectangle whose each pair of parallel side are parallel to respective axis is a quadrilateral must observe the following conditions:

I(x,y) = (a, b), J(x,y) = (a, c), L(x,y) = (d, b), K(x,y) = (d, c)

If we know that a = 5, b = 3, c = -3, d = -4, then the coordinates of the vertex K of the rectangle IJKL is:

K(x,y) = (-4,-3)

Hence, the correct answer is A.

Mice21 [21]1 year ago
6 0

Answer:A. -4 -3

Step-by-step explanation:

You might be interested in
Sakura speaks 150150150 words per minute on average in Hungarian, and 190190190 words per minute on average in Polish. She once
Vinil7 [7]
Hello

The answer is <span> 3 minutes speaking Polish and 2 minutes speaking Hungarian.

Have a nice day</span>
4 0
2 years ago
Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0), Y'(2, 0), and Z'(2
Marina86 [1]

Answer: The correct options are

(A) Rotation 90° anticlockwise.

(D)  (x, y) → (–y, x).

Step-by-step explanation:  Given that ΔXYZ is rotated to create the image triangle ΔX'Y'Z'.

Triangle XYZ and its image triangle X'Y'Z' are shown in the attached figure.

The co-ordinates of the vertices of ΔXYZ are X(0, 0), Y(0, -2) and Z(-2, -2).

And the co-ordinates of the vertices ΔX'Y'Z' are X'(0, 0), Y'(2, 0) and Z'(2, -2).

<u>Option (A) Rotation 90°:</u>

We see from the figure that if we rotate ΔXYZ is rotated 90° anticlockwise, then it will coincide with ΔX'Y'Z'.

So, rotation of 90° anticlockwise is a correct option.

<u>Option (B) Rotation 180°:</u>

If we rotate ΔXYZ is rotated clockwise or anticlockwise 180°, then it will NOT coincide with ΔX'Y'Z'.

So, rotation of 180° is NOT a correct option.

<u>Option (C) Rotation 270°:</u>

If we rotate ΔXYZ is rotated clockwise 270°, then also it will not coincide with ΔX'Y'Z'.

So, rotation of 270° clockwise is also a correct option.

<u>Option (D) (x, y) → (–y, x):</u>

We see that the co-ordinates of both the triangle follow the transformation

X(0, 0)   ⇒  X'(0, 0)

Y(0, -2)  ⇒   Y'(2, 0)

Z(-2, -2)  ⇒   Z'(2, -2).

So, the transformation is (x, y) ⇒  (-y, x).

Therefore, the  transformation (x, y) → (–y, x) is a correct option.

<u>Option (E) (x, y) → (y, -x):</u>

We see that the co-ordinates of both the triangle does NOT follow this transformation

For example, suppose this transformation is correct. Then, we have

Y(0, -2)  ⇒  (-2, 0), which are not the co-ordinates of Y'.

Therefore, the  transformation (x, y) → (–y, x) is NOT a correct option.

Thus, the correct options are:

(A) Rotation 90° anticlockwise.

(D)  (x, y) → (–y, x).

9 0
1 year ago
Read 2 more answers
Which decimal is terminating?
Elina [12.6K]
The answer is D. 0.7878
7 0
2 years ago
) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivale
andriy [413]

Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

    49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

5 0
1 year ago
Read 2 more answers
I NEED HELP . I'm having trouble trying to figure out how to answer this can anyone help please?
klio [65]

Answer:

what is it?

Step-by-step explanation:

7 0
1 year ago
Other questions:
  • Polygon ABCDE is dilated by a scale factor of 3 with the center of dilation at the origin to create polygon A'B'C'D'E'. If the e
    7·2 answers
  • Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hour
    15·2 answers
  • A scuba diving instructor takes a group of students to the depth of 54.96 feet. Then they ascend 22.38 feet to see some fish. Wh
    8·2 answers
  • Which size bottle of ketchup is the best deal with the lowest unit price? Prices for Different Sizes of Bottles of Ketchup Size
    12·2 answers
  • I am choosing shapes out of a bag. The ratio of blue shapes to red shapes are 2:1. For the blue shapes, the ratio of spheres to
    12·1 answer
  • Minneapolis, Minnesota and Portland, Oregon have very similar latitudes. (Latitude measures how far north or south a place is, w
    11·3 answers
  • Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each began ascending at a consta
    6·1 answer
  • During a football season 13% of the players who signed up for a soccer league dropped out. A total of 174 players finished the s
    6·1 answer
  • Here are the first five terms of a number sequenceS . 10 16 22 28 34 Find an expression, in terms of n , for the nth term of thi
    11·1 answer
  • On an assembly line, 1/5 of an item is made in 3/4 of an hour. What is the unit rate?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!