Describe the translation below using words and then write a rule for it.

Question

2.
Which shape below is the pre-image. How can you tell?

3.
A pre-image and it's image are congruent in which of the following transformations?

dilation

Rotation

translation

Reflection
4.
If the transformation below is performed, what would be the coordinates of point C'.

C'(-5,-1)

C'(5,1)

C'(5, -1)

C'(-5,1)
5.
If the transformation below is performed, what would be the coordinates of point Y'?

Rotate YQT about the origin 180 degrees

Y'(1,2)

Y'(1,-2)

Y'(-1,-2)

Y'(-1,2)
6.
Describe how would find the reflection point of D(-3,4) over the x-axis. You can use sentences to describe or draw a picture. What would be the coordinates of D'?

7.
Match each picture with the description.
1.

2.

3.

4.

a.
Rotation of 180 degrees about the origin
b.
Reflection over the line y = 1
c.
90 Degree Rotation about the origin
d.
translation left 2 and up 6
8.
Which answer shows a reflection across the x axis?

9.
If Triangle B is rotated 270 degrees, what triangle would it land on?

C

D

B

A
10.
What is the rule for the transformation below?

(x,y) --> (x+4, y-9)

(x,y) --> (-x,y)

(x,y) --> (x-4, y+9)

(x,y) --> (x,-y)
11.
If Pentagon PENTA is congruent to Pentagon ABCDE, choose all below that are true.

12.
Which description below will take RPQ to ABC?
Image result for multiple transformations

Translate RPQ up 6 steps, then reflect it over the y-axis.

Rotate RPQ 180 degrees about the origin, then dilate it using a scale factor of 2.

Translate RPQ left 6 steps, then reflect it over the x-axis.

Rotate RPQ 90 degrees about the origin, then reflect it over the y-axis.
13.
Given the triangle ABC's coordinates below, what would be the coordinates of A'B'C' if it was dilated using a scale factor of 2?

A(3,4)
B(-3,7)
C(-1,0)

14.
What is the name of the artist that used transformations to create patterns called Tessellations?

M.C. Ester

M.C.Esher

M.C.Hammer

M.C. Gainey
15.
What is an example of a scale factor that would shrink a shape?

3

-2

0
16.
What is the scale factor that was used to perform the dilation below?
Image result for dialtion

-2

2

17.
EXTRA CREDIT: If you took great notes either on paper or using the JamBoard Doc provided in Lesson 2, please submit a link to them here for up to 5 bonus points!

answer all 17 questions

Answer 1

Sure! Here are the answers to the questions based on your provided content:

1. Describe the translation below using words and then write a rule for it.

   • A translation moves a shape in a specific direction by a certain distance. The rule for a translation can be expressed as \( (x, y) \rightarrow (x + a, y + b) \), where \( a \) and \( b \) are the horizontal and vertical distances moved, respectively.

2. Which shape below is the pre-image? How can you tell?

   • The pre-image is the original shape before any transformation has taken place. You can identify it by looking for the shape that matches the description or set of coordinates provided before the transformation.

3. A pre-image and its image are congruent in which of the following transformations?

   • Dilation: No (they are not congruent, only similar)
   • Rotation: Yes
   • Translation: Yes
   • Reflection: Yes
     Answer: Rotation, Translation, Reflection.

4. If the transformation below is performed, what would be the coordinates of point C'?

   • Coordinates would depend on the transformation described. Without specific information, I cannot determine it, but if you provide the transformation, I can solve it.

5. If the transformation below is performed, what would be the coordinates of point Y'?

   • If Triangle YQT is rotated 180 degrees about the origin, the coordinates of Y' would also need specific dimensions. If point Y has coordinates (x, y), after rotation it would become (-x, -y).

6. Describe how you would find the reflection point of D(-3,4) over the x-axis. You can use sentences to describe or draw a picture. What would be the coordinates of D'?

   • To find the reflection point of D over the x-axis, you keep the x-coordinate the same and change the sign of the y-coordinate. Thus, D' would be (-3, -4).

7. Match each picture with the description.

   • a. Rotation of 180 degrees about the origin
   • b. Reflection over the line y = 1
   • c. 90 Degree Rotation about the origin
   • d. Translation left 2 and up 6

8. Which answer shows a reflection across the x-axis?

   • A reflection across the x-axis would change (x, y) to (x, -y).

9. If Triangle B is rotated 270 degrees, what triangle would it land on?

   • Assuming standard positions, a 270-degree rotation typically brings it to a position similar to Triangle A (or specific triangle placements based on given context).

10. What is the rule for the transformation below?

    • The rule for the transformation represented by \( (x,y) \rightarrow (x+4, y-9) \) is: Translate right 4 and down 9.

11. If Pentagon PENTA is congruent to Pentagon ABCDE, choose all below that are true.

• The pentagons have the same shape and size. They could have been obtained from each other through transformations such as translation, rotation, or reflection.

12. Which description below will take RPQ to ABC?

• Translate RPQ up 6 steps, then reflect it over the y-axis.

13. Given the triangle ABC's coordinates below, what would be the coordinates of A'B'C' if it was dilated using a scale factor of 2?

• A' = (32, 42) = (6, 8)
• B' = (-32, 72) = (-6, 14)
• C' = (-12, 02) = (-2, 0)
• Coordinates of A'B'C' are (6,8), (-6,14), (-2,0).

14. What is the name of the artist that used transformations to create patterns called Tessellations?

• M.C. Escher

15. What is an example of a scale factor that would shrink a shape?

• A scale factor less than 1 (but greater than 0) would shrink a shape. (For example, 0.5 would shrink it by half.)

16. What is the scale factor that was used to perform the dilation below?

• A scale factor can be determined based on the image provided. Without a visual reference, I can't determine which scale factor was used.

17. EXTRA CREDIT: If you took great notes either on paper or using the JamBoard Doc provided in Lesson 2, please submit a link to them here for up to 5 bonus points!

• [Your response would go here depending on your notes.]

Please let me know if you need help with anything else!