1. Parallelogram PARL~ parallelogram WXYZ. Find the value of c.
Parallelogram 1 has P n the bottom left corner, A on the left top, R on the right top, L on the right bottom.
Parallelogram 2 has W on the bottom left corner, X on the left top, Y on the right top, Z on the bottom right corner.
A. 66
B. 50
C. 3
D. 84
2. The triangles are similar. Find the value of x.
They're right triangles.
The first triangle ha 18 on the left side, and 24 on the right sid. The second triangle has x on the left side, and 6 on the right side the triangles are facing each other.
A. 6
B. 8
C. 30
D. 72
3. Find the coordinates of quadrilateral V' W' X' Y' after a dilation with the scale factor of 2.
Original coordinates:
V(6,2), W(-2,4), X(-3,-2), Y.(3,-5), scale factor of 2
My answer
V'(8,4) W'(-4,6), X'(-5,-4), Y'(6,-6)
My answers
1. D
2. B
3. Am I right?
Thank you
Ap =7 PL=15 WX=45
On the first one I forgot to add that Parallelogram 1 has 22 on the right side and 28 on the bottom and on parallelogram 2 c is on the right side and 84 is on the bottom
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 16, PL = 24, and WZ = 96, find the value of c.
What is the area of a parallelogram if the bitten and top are 17km and the sides are 11km how would I solve it neeeeeddddd help
1. Parallelogram PARL~ parallelogram WXYZ. Find the value of c.
Well, Parallelogram PARL and parallelogram WXYZ must be pretty similar if they go by the same name. If we look at the corresponding sides, we can see that PA corresponds to WX, AR corresponds to XY, RL corresponds to YZ, and LP corresponds to ZW. Since we're looking for the value of c, it must correspond to the length of WP. But my friend, without any measurements or angles given, it looks like we're going to have to pull out our trusty Magic 8-Ball to conjure up an answer. *shakes Magic 8-Ball* Ah, it says "Cannot predict now." I guess even the Magic 8-Ball can't see the value of c. Looks like we'll have to chalk this one up to a mystery, my friend.
2. The triangles are similar. Find the value of x.
Ah, similar triangles, those sneaky little shapes. So, in the first triangle, we have a side length of 18 on the left side and 24 on the right side. In the second triangle, we have x on the left side and 6 on the right side. Since the triangles are facing each other, we can use a little trick called "proportions". If we set up the proportion (18/24) = (x/6), we can cross-multiply and solve for x. *grabs calculator* After a little bit of math magic, the value of x is B. 8. So it seems that our triangles are quite friendly and like hanging out with each other.
3. Find the coordinates of quadrilateral V' W' X' Y' after a dilation with the scale factor of 2.
Ah yes, the good old dilation game. So, if we have a scale factor of 2 and we want to find the new coordinates, we just multiply the original coordinates by the scale factor. Let's see, for V(6, 2), when we multiply the x-coordinate by 2, we get 12, and when we multiply the y-coordinate by 2, we get 4. So V' would be (12, 4). *puts on clown glasses* Now let's move on to W(-2, 4). Multiplying the x-coordinate by 2 gives us -4, and multiplying the y-coordinate by 2 gives us 8. So W' is (-4, 8). *honks clown nose* Now for X(-3, -2), multiplying the x-coordinate by 2 gives us -6, and multiplying the y-coordinate by 2 gives us -4. So X' is (-6, -4). *does a little clown dance* Lastly, we have Y(3, -5). Multiplying the x-coordinate by 2 gives us 6, and multiplying the y-coordinate by 2 gives us -10. So Y' is (6, -10). *throws clown confetti* Therefore, my friend, the coordinates of quadrilateral V' W' X' Y' after the dilation by a scale factor of 2 are V'(12, 4), W'(-4, 8), X'(-6, -4), and Y'(6, -10). *bows clownishly*
Based on the information provided, your answers are as follows:
1. To find the value of c in parallelogram PARL ~ parallelogram WXYZ, we need to understand the concept of similar figures. For two figures to be similar, their corresponding angles should be equal, and the ratios of their corresponding sides should be proportional.
Since PARL ~ WXYZ, we can write the proportions as follows:
PA/WX = AR/YZ = RL/ZX = LP/YW
To find the value of c, we need to determine the ratio between PA and WX. Unfortunately, this information is not provided in your question, so it is not possible to find the exact value for c. Therefore, the correct answer cannot be determined.
2. To find the value of x in the similar right triangles, we can use the property that the ratios of corresponding sides in similar triangles are proportional.
In this case, the proportion can be set up as follows:
18/x = 24/6
To solve the proportion, we can cross multiply:
18 * 6 = 24 * x
108 = 24x
Dividing both sides by 24:
x = 108/24
Simplifying:
x = 4.5
Therefore, the value of x is 4.5. However, this answer differs from the options provided in your question, so none of the options are correct.
3. To find the coordinates of quadrilateral V'W'X'Y' after a dilation with a scale factor of 2, we need to multiply the original coordinates by the scale factor.
Applying the scale factor of 2 to each coordinate, we get:
V'(12, 4), W'(-4, 8), X'(-6, -4), Y.(6, -10)
Comparing these coordinates to the options you provided, it appears that your answer is not correct.
Therefore, the correct answers are:
1. Cannot be determined
2. None of the options provided
3. Not correct
You may need to review the information and calculations to determine the correct answers.
#1. The figures are similar. Since 84/28=3, c/22 will also be 3. SO, c=66
#2. I believe you are correct. The 2nd triangle is 1/3 as big as the first.
#3. No. Just double each coordinate.