Reflection Question 1

If is reflected over the x-axis what would the coordinates of C’ be?

Reflection Question 2

Using a compass and a ruler, reflect over line m.

m

Reflection Question 3

If trapezoid HIJK is reflected over the line how many points remain invariant?

If there are any, which ones?

Reflection Question 2

Using a compass and a ruler, find the line of reflection that maps to .

Reflection Questions 51. When a triangle is reflected over the line , which

geometric relationships are preserved? I. DistanceII. OrientationIII. Angle measureIV. Parallelisma. II only b. I and III c. None d. I, III, and IV.

2. Hexagon ABCDE shown in the diagram will be reflected over the y-axis. What will not be preserved?

a. measure of b. length of c. Everything is preserved d. slope of

3. As shown in the diagram, when is reflected over the x-axis, it’s image is. Which statement justifies why

a. Distance is preserved under reflection.b. Orientation is preserved under reflection.c. Angle measure is preserved under

reflection.d. Points on the line of reflection remain

invariant.

4. After a reflection over the y-axis, the image of is . Which statement is not true?

a. b. c. d.

Compositions Question 1

Determine the compositions of transformations that maps the image A’B’C’ onto its pre-image ABC.

Compositions Question 2If has coordinates graph state and label the coordinates of , the image after the following composition.

Compositions Question 3

Determine the compositions of transformations that maps the pre-image ABC onto its pre-image A’B’C’.

Compositions Question 4

If has coordinates graph state and label the coordinates of , the image after the following composition.

Compositions Question 5

1. After the composition , which property is not preserved?

a. Side length b. Angle measure

c. Orientation d. Perpendicularity

2. After the composition , what is not true?a. b. c. d.

3. Is the following composition an isometry? Explain your answer.

4. The coordinate of triangle ABC are A(0, 0), B(3, 1), and C(2,6) how many points remain invariant after the following composition?

a. 0 b. 1

c. 2 d. 3

Rotation Question 1

Point G has coordinates (-4, 5). What are the coordinates of G’ after a rotation of 90 degrees?

Rotation Question 2

Given the shape to the right identify all types of symmetry. Include, if necessary, total number of lines and/or degrees of rotation.

Rotation Question 3

Point H’ (-125, 458) is the image of point H (125, -458) after a transformation. Specify the transformation that has occurred.

Rotation Question 4

Using a compass and a straight edge, find the center of rotation for the triangles shown.

Rotation Question 5

1. When a triangle is rotated 270° about the origin, which geometric relationships are preserved?

I. DistanceII. OrientationIII. Angle measureIV. Parallelism

a. II only b. I and III c. I, III, and IV. d. All of the above

2. In the accompanying diagram of square ABCD, F is the midpoint of G is the midpoint of , H is the midpoint of , and E is the midpoint of .

Find the image of ∆BOG after ?

3. Which of the following letters has both line and point symmetry?

a. F b. Kc. M d. X

4. The composition can also be expressed as which of the following transformation?

a. b. c. d.

Translation Question 1

Point T(-2, 6) is transformed under the rule (x + 6, y – 2). What are the coordinates of T’?

Translation Question 2

Find the translation vector that moves pre-image F to image L. F

L

Translation Question 3

Write a translation rule that would map RSTU onto R’S’T’U’.

Translation Question 4

Using a compass and a straight edge, translate given .

F

I

GU

P

Translation Question 5

1. What is the image of the point (-5, 2) under the translation ? a. (-9, 5) b. (-8, 6)c. (-2, -2) d. (-15, -8)

2. Rectangle CUBE is translated along a vector. If which conclusion is true?a. b. c. d.

3. The image of point (-2, 3) under translation T is (3, -1). What is the image of point (4, 2) under the same translation?

a. (-1, 6) b. (0, 7)c. (5, 4) d. (9, -2)

4. If a triangle is translated by a given vector, which statement is false?

a. Distance is preserved b. Orientation is reversedc. Angle measure is preserved d. Parallelism is preserved