1.2.1 Introduction to Transformations 431

by Jason Appel

| 20 QuestionsNote from the author:

Playlist

By the end of this playlist I can...

...define and recognize translations, reflections and rotations

...perform a given translation, reflection or rotation in the coordinate plane

...determine the transformation that maps a pre-image to an image

...use algebraic rules to describe transformations in the coordinate plane (x, y) → ( , )

1

1

I've completed the video or mini-lesson on Translations.

True

False

2

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-translations/e/translations

I’ve completed the practice problems on translations and feel confident that I know how to solve them.

True

False

3

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-translations/e/defining-translations

I’ve completed the practice problems on defining translations and feel confident that I know how to solve them.

True

False

4

1

I've completed the video or mini-lesson on reflections.

True

False

5

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-reflections/e/reflections-1

I’ve completed the practice problems on reflections and feel confident that I know how to solve them.

True

False

6

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-reflections/e/defining-reflections

I’ve completed the practice problems on defining reflections and feel confident that I know how to solve them.

True

False

7

1

I've completed the video or mini-lesson on rotations.

True

False

8

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-transformations-intro/e/performing-rotations-on-the-coordinate-plane

I’ve completed the practice problems on performing rotations and feel confident that I know how to solve them.

True

False

9

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/a/determining-rotations

I’ve completed the practice problems on determining rotations and feel confident that I know how to solve them.

True

False

10

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/e/defining-rotations

I’ve completed the practice problems on defining rotations and feel confident that I know how to solve them.

True

False

11

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/a/rotating-shapes

I’ve completed the tutorial on rotating shapes and feel confident that I know how to solve them.

True

False

12

1

copy and paste into a new tab: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/e/rotations-1

I’ve completed the practice problems on rotating shapes and feel confident that I know how to solve them.

True

False

13

10

Given the point A(2, 5), what are the coordinates of A', the image of point A after a reflection over the x-axis?

Coordinates should be entered using parentheses and no spaces, i.e. (-5,7)

14

10

Given the point B(7, -5), what are the coordinates of B', the image of point B after a reflection over the y-axis?

15

10

Given the point C(3, -5), what are the coordinates of C', the image of point C after a translation left 6 and up 3?

16

10

Given the point D(3, -5), what are the coordinates of D', the image of point D after a 90 degree counterclockwise rotation about the origin?

17

10

Given the point E(-7, -3), what are the coordinates of E', the image of point E after a 180 degree counterclockwise rotation about the origin?

18

10

Given the point F(7, -3), what are the coordinates of F', the image of point F after a reflection over the line x = 4

19

10

Draw triangle P'Q'R', the image of triangle PQR after a 270 degree counter-clockwise rotation about the origin. The line tool may be helpful. Be sure to label your vertices.

This question will not grade automatically. Check back later for feedback.

20

20

1

Which transformations will show that shape G is congruent to shape H?

Translate Shape G right 8 units and then reflect it across the y-axis

Translate Shape G right 6 units and then reflect it across the x-axis

Translate Shape G right 8 units and then reflect it across the x-axis

Translate Shape G up 6 units and then reflect it across the y-axis

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