Worksheet Problems ~ Practice Review

0916_CO234 Review for Quiz Intro to Transformations Translations and SReepflteecmtiboenrs1.n3o, t2e0b1o5ok

Review September 16, 2015

G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). G.CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

G.CO.4 Develop definitions of rotations, reflections, and translations. G.CO.5 Given a figure and a transformation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another.

Worksheet Problems ~ Practice

Are these reflections? Be ready to defend your answer!

1. No this is a translation

2. No this is a translation

3.Yes xaxis reflection

4. Yes yaxis reflection

5. Yes yaxis reflection

6. Yes y=x reflection

Mar 136:22 AM

7. True or false? The image of point (-5, -2) under a reflection across the x-axis is (-5, 2). True

8. True or false? The image of point (-1, 7) under a reflection across the y-axis is (1, -7). False

9. True or false? The image of point (0, 4) under a reflection across the line y = x is (4, 0). True

10. True or false? The image of point (8, 3) under a reflection across the line y = -x is (-3, -8). True

11. If a reflection in the line y = -x occurs, then the rule for this reflection is _____d_. ______.

a. (x, y) (x, -y) c. (x, y) (y, x)

b. (x, y) (-x, y) d. (x, y) (-y, -x)

12. True or False? The graph illustrates a refection over the x-axis.

False; it is a y-axis reflection

13. True or False? The graph illustrates a refection over the x-axis.

True

Feb 239:44 AM

21. This L-shaped figure is

reflected over the y-axis.

The image is then reflected

over the x-axis. What are

the coordinates of the

vertices of the final image?

(-2, -1)

(-3, -2)

(-4, -1) (-4, -2)

(-3, -4) (-2, -4)

22. The vertices of a triangle are A(2, 5), B(4, 0), C(-2, -4). Find the coordinates of ABC under the following reflections.

a. rx-axis A'(2, 5) B'(4, 0)

C' (2, 4)

b. ry-axis A'(2, 5) B'(4, 0)

C' (2, 4)

c. ry=x A'(5, 2) B'(0, 4)

C' (4, 2)

d. ry=-x A'(5, 2) B'(0, 4)

C' (4, 2)

23. ABC has vertices A(1,4), B(2,7), C(5,4). Its image is ABC with vertices A(1,0), B'(2,-3), C'(5,0). Graph the triangles and draw the line of reflection. Write the equation of the line of reflection.

Line: y = 2

A

B

C

B'

C'

A'

24. Given the square ABCD with

vertices A(5,3), B(5,6), C(1,6)

and D(1,3), reflect the figure in

B

C C'

B'

the line x = 2 and then record

the vertices for A'B'C'D'.

A

D D'

A'

A'(_9_,__3_) B'(_9_,__6_) C'(_5_,__6_) D'(_5__,_3_)

25. Given square ABCD with vertices A(5,3), B(5,6), C(1,6) and D(1,3), reflect the figure in the line y = 1 and then record the vertices for A'B'C'D'.

A'(_5__, __5) B'(_5_,__8_) C'(_1__, _8_) D'(_1_,__5_)

B

C

A

D

A'

D'

B'

C'

Feb 239:51 AM

Feb 239:42 AM

14. DEF has coordinates D(-2, 6), E(3, 4) and F(1, -2). If the triangle is reflected over the y-axis, what are the coordinates of DEF.

D(__2_,_6__)E(___3_, 4___)F(___1,__2__)

15. DEF has coordinates D(-2, 6), E(3, 4) and F(1, -2). If the triangle is reflected over the x-axis, what are the coordinates of DEF.

D(___2,__6__)E(__3_, _4___)F(___1,_2___)

__E___16. Which point is a reflection of point A over the x-axis?

16.18.

___D__17. Which point is a reflection of point A over the y-axis?

___H__18. Which point is a

reflection of point A over the

line y = x?

19.20.

19. What is the line of reflection for

the pentagon? yaxis

_(_0,_2_)_20. Using the graph, what is the ordered pair for the point on the line of reflection halfway between points E and C?

Feb 239:46 AM

All of your answers MUST be in correct notation.

1. State the three undefined terms for geometric

figures. point line plane

Feb 256:50 PM

1

0916_CO234 Review for Quiz Intro to Transformations Translations and SReepflteecmtiboenrs1.n3o, t2e0b1o5ok

Use the triangle below to answer questions #2 - #9.

2. Name a line that passes through D ___D_F,_D_E_, _EF___ 3. Name a line segment with endpoint G ___G_E_, G_D__, G_F___

4. Name a ray with endpoint F ____F_E,_F_D______

Name 1 in two different ways. 5. ___ ................
................

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