Mathematics, 30.11.2020 17:10 bronson62

(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She can use the computer software to perform transformations on this design. Which sequence of two transformations could she perform so that the transformed vertices become A'(4,-5), B'(7,-7), and C'(7,-4)?

a. translating 6 units down, followed by translating 8 units to the right

b. reflecting about the line y = -2, followed by translating 8 units to the right

c. reflecting about the line y = -1, followed by reflecting about the y-axis

d. reflecting about the line y = -1, followed by translating 8 units to the right

Answers: 1

Show answers

Answers

Answer from: Keelana

Transformation involves changing the size and position of a shape.

The sequence of two transformations are: (d). reflecting about the line y = -1, followed by translating 8 units to the right

The coordinates of ABC are given as:

$\mathbf{A =(-4,3)}$

$\mathbf{B =(-1,5)}$

$\mathbf{C =(-1,2)}$

First, the coordinates of ABC are reflected across the line $\mathbf{y =-1}$

The transformation rule is:

$\mathbf{(x,y) \to (x,-y -2 \times 1)}$

So, we have:

$\mathbf{A' = (-4,-3 -2 \times 1)}$

$\mathbf{A' = (-4,-5)}$

$\mathbf{B' =(-1,-5 - 2 \times 1)}$

$\mathbf{B' =(-1,-7)}$

$\mathbf{C' =(-1,-2 -2 \times 1)}$

$\mathbf{C' =(-1,-4)}$

Next, the shape is translated 8 units right.

The rule of this transformation is:

$\mathbf{(x,y) \to (x + 8, y)}$

So, we have:

$\mathbf{A" = (-4 + 8, -5)}$

$\mathbf{A" = (4, -5)}$

$\mathbf{B" =(-1+8,-7)}$

$\mathbf{B" =(7,-7)}$

$\mathbf{C" =(-1+8,-4)}$

$\mathbf{C" =(7,-4)}$

Hence, the sequence of two transformations are:

(d). reflecting about the line y = -1, followed by translating 8 units to the right

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Jackie purchased 3 bottles of water and 2 cups of coffee for the family for $7.35. ryan bought 4 bottles of water and 1 cup of coffee for his family for 7.15. how much does each bottle of water cost? how much does each cup of coffee cost?

Answers: 3

Answer

Mathematics, 21.06.2019 17:30

Find the pattern and use it to list the nth term in the sequence. 6, 12, 20, 30, 42, 56, the nth term of the sequence is

Answers: 3

Answer

Mathematics, 21.06.2019 18:10

The means and mean absolute deviations of the individual times of members on two 4x400-meter relay track teams are shown in the table below. means and mean absolute deviations of individual times of members of 4x400-meter relay track teams team a team b mean 59.32 s 59.1 s mean absolute deviation 1.5 s 245 what percent of team b's mean absolute deviation is the difference in the means? 9% 15% 25% 65%

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

2pointswhich of the following appear in the diagram below? check all that apply.d a. zcdeов. сеo c. aéo d. zdce

Answers: 1

Answer

You know the right answer?

(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner...

Questions

Mathematics, 03.03.2020 03:41

If the standard deviation of a set of data is zero, what can you conclude about the set of values? The sum of the deviations from the mean is zero. Al...