Mathematics, 27.12.2021 04:10 rebekahhenton
Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of 1/2.
Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of 1/2.
Part A
Start with Chanel’s sequence. How does a 90-degree counterclockwise rotation about the origin change the coordinates of a shape?
Part B
Complete the table to find the rule for the rotation, the coordinates of trapezoid PQRS, and the coordinates of the rotated image, trapezoid P′Q′R′S′.
Original Coordinates New Coordinates
(x, y) ( , )
P( , ) P′( , )
Q( , ) Q′( , )
R( , ) R( , )
S( , ) S′( , )
Part C
How does a dilation by a scale factor of change the coordinates of a shape?
Part D
Complete the table to find the rule for the dilation, the coordinates of trapezoid P′Q′R′S′, and the coordinates of the dilated image, trapezoid P″Q″R″S″.
Original Coordinates New Coordinates
(x, y) ( , )
P′( , ) P″( , )
Q′( , ) Q″( , )
R′( , ) R″( , )
S′( , ) S″( , )
Part E
Now look at Preston’s sequence. How does a reflection across the x-axis change the coordinates of a shape?
Part F
Complete the table to find the rule for the reflection, the coordinates of trapezoid PQRS, and the coordinates of the reflected image, trapezoid P′Q′R′S′.
Original Coordinates New Coordinates
(x, y) ( , )
P( , ) P′( , )
Q( , ) Q′( , )
R( , ) R′( , )
S( , ) S′( , )
Part G
How does a dilation by a scale factor of change the coordinates of a shape?
Part H
Complete the table to find the rule for the dilation, the coordinates of trapezoid P′Q′R′S′, and the coordinates of the dilated image, trapezoid P″Q″R″S″.
Original Coordinates New Coordinates
(x, y) ( , )
P′( , ) P″( , )
Q′( , ) Q″( , )
R′( , ) R″( , )
S′( , ) S″( , )
Part I
Whose sequence proves trapezoid PQRS is similar to trapezoid KLMN? Why?
Answers: 3
Mathematics, 21.06.2019 22:30
Which statement shows that 6.24 is a rational number? a. 6.24 = 6.242424 b. 6.24 = 6.24 c. 6.24 = 68⁄33 d. 6.24 = 66⁄25
Answers: 1
Mathematics, 21.06.2019 23:30
Find each value of the five-number summary for this set of data. [note: type your answers as numbers. do not round.] 46, 19, 38, 27, 12, 38, 51 minimum maximum median upper quartile lower quartile
Answers: 1
Mathematics, 22.06.2019 00:10
A50-foot ladder is leaning against a vertical wall. if the base of the ladder is 45 feet from the base of the wall, find the angle the bottling of the ladder makes with the ground.
Answers: 1
Mathematics, 22.06.2019 01:00
At a book fair, joe bought 24 books at 3 for $5 and had $2 left. how much money did he have at first?
Answers: 2
Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate...
Mathematics, 11.08.2021 01:00
Social Studies, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Biology, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Mathematics, 11.08.2021 01:00
Physics, 11.08.2021 01:00