Coordinate Geometry: Rotating Triangles and Parallelograms, Summaries of Law

Exercises on rotating triangles and parallelograms in a coordinate plane. It provides the coordinates of the vertices of various shapes and asks the reader to find the coordinates of the image after applying different rotations, such as 90 degrees clockwise, 180 degrees about the origin, and 90 degrees counterclockwise. The exercises cover a range of geometric transformations and require the reader to apply their understanding of coordinate geometry to solve the problems. The document could be useful for students studying topics related to coordinate geometry, transformations, and problem-solving in mathematics.

Typology: Summaries

2023/2024

Uploaded on 02/13/2024

atharv-gangadharmath-1
atharv-gangadharmath-1 🇺🇸

2 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
What Jam Can’t You Eat?
Write the letter of each answer in the box containing the exercise number.
The vertices of a triangle are
A2, 3 ,
B7, 4 , and
C6, 1 .
Rotate the triangle as described.
Find the coordinates of the image.
1.
90 clockwise about the origin
2. 180 about the origin
3. 90 counterclockwise about the origin
4. 180 about vertex A
The vertices of a triangle are
D3, 4 ,

E3, 1 , and

F1, 1 .
Rotate the triangle as described.
Find the coordinates of the image.
5.
180 about the origin
6. 90 clockwise about vertex D
7. 90 clockwise about vertex E
8. 90 clockwise about vertex F
The vertices of a parallelogram are

W6, 3 ,
X4, 4 ,

Y2, 2 , and
Z4, 1 .
Rotate the parallelogram as described.
Find the coordinates of the image.
9.
90 clockwise about the origin
10. 90 counterclockwise about the origin
11. 180 about the origin
Answers for Exercises 1–4
A.

3, 2 , 4, 7 , 1, 6

ABC
F.

3, 2 , 4, 7 , 1, 6

ABC
C.


2, 3 , 7, 4 ,
6, 1

 

AB
C
T.
 
2, 3 , 3, 2 , 2, 5

AB C
Answers for Exercises 5– 8
F.

3, 4 , 3, 1 ,
1, 1

 

DE
F
J.

4, 1, 1, 1, 1,1

DEF
M.
3, 4 , 0, 4 , 0, 6

DEF
A.

6,1, 3,1, 3,3

DEF
Answers for Exercises 9–11
R.


6, 3 , 4, 4 ,
2, 2 , 4, 1




WX
YZ
A.

3, 6, 4, 4,
2, 2 , 1, 4

 


WX
YZ
I.


3, 6 , 4, 4 , 2, 2 ,
1, 4

WXY
Z
10 4 11 7 1 5 9 2 8 3 6
*Must attach Process Steps using separate graphs
Name __________________________________ Period __________

Partial preview of the text

Download Coordinate Geometry: Rotating Triangles and Parallelograms and more Summaries Law in PDF only on Docsity!

What Jam Can’t You Eat?

Write the letter of each answer in the box containing the exercise number.

The vertices of a triangle are

A  2, 3 ,  B  7, 4 ,  and C  6, 1. 

Rotate the triangle as described. Find the coordinates of the image.

1. 90  clockwise about the origin

2. 180  about the origin

3.^90 ^ counterclockwise about the origin

4. 180  about vertex A

The vertices of a triangle are

D  3, 4 ,  E  3, 1 ,  and F  1, 1. 

Rotate the triangle as described. Find the coordinates of the image.

5. 180  about the origin

6. 90  clockwise about vertex D

7. 90  clockwise about vertex E

8. 90  clockwise about vertex F

The vertices of a parallelogram are

W   6, 3 ,  X   4, 4 ,  Y   2, 2 ,  and Z   4, 1. 

Rotate the parallelogram as described. Find the coordinates of the image.

9. 90  clockwise about the origin

10. 90  counterclockwise about the origin

11.^180 ^ about the origin

Answers for Exercises 1–

A. A  ^  3, 2 , B  ^  4, 7 , C  1, 6

F. A  ^ 3,  2 , B  ^ 4,  7 , C 1,  6 

C.    

A B

C

T. A   2, 3 , B    3, 2 , C  2, 5

Answers for Exercises 5–

F.    

D E

F

J. D  ^ 4, 1 ,  E ^ 1, 1 , F 1, 1 

M. D  ^ 3, 4 , E  ^ 0, 4 , F  0, 6

A. D   6, 1 , E  3, 1 , F  3, 3

Answers for Exercises 9–

R.    

W X

Y Z

A.    

W X

Y Z

I.      

W X Y

Z

10 4 11 7 1 5 9 2 8 3 6