TRANSLATE Horizontally -5 B’ C ’ B C Slide it 5 to the left
A’ A B’ C ’ B C TRANSLATE (6, 4) Slide 6 to the right, then slide 4 up.)
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. -3, -1 A -5, -5 B -2, -5 C
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin.
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin.
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
Pretend ABC is attached to the origin. ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II
B’ A’ C ’ ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II B’ A’ C ’
B’ A’ C ’ ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. B’ A’ C ’
-3, -1 B’ A’ C ’ ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. B’ A’ C ’ -3, -1
-1, 3 -3, -1 B’ A’ C ’ ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. B’ -1, 3 A’ C ’ -3, -1
-1, 3 -3, -1 B’ A’ C ’ SWITCH THE COORDINATES ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. Here’s the shortcut: SWITCH THE COORDINATES 2. TAKE THE OPPOSITE OF Y B’ -1, 3 A’ C ’ -3, -1
-1, 3 -3, -1 -5, -5 B’ A’ C ’ SWITCH THE COORDINATES ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. Here’s the shortcut: SWITCH THE COORDINATES 2. TAKE THE OPPOSITE OF y B’ -1, 3 A’ C ’ -3, -1 -5, -5
-5, 5 -1, 3 -3, -1 -5, -5 B’ A’ C ’ SWITCH THE COORDINATES ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. Here’s the shortcut: SWITCH THE COORDINATES 2. TAKE THE OPPOSITE OF Y B’ -5, 5 -1, 3 A’ C ’ -3, -1 -5, -5
-5, 5 -1, 3 -3, -1 -5, -5 -2, -5 B’ A’ C ’ SWITCH THE COORDINATES ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. Here’s the shortcut: SWITCH THE COORDINATES 2. TAKE THE OPPOSITE OF Y B’ -5, 5 -1, 3 A’ C ’ -3, -1 -5, -5 -2, -5
ROTATE 90 CLOCKWISE Pretend ABC is attached to the origin. Now, give it a push -- clockwise -- into Quadrant II Let’s look at the old and new ordered pairs. Here’s the shortcut: SWITCH THE COORDINATES 2. TAKE THE OPPOSITE OF THE NEW Y B’ -5, 5 -1, 3 A’ C ’ -5, 2 -3, -1 -5, -5 -2, -5
Give it a push into Quadrant I ROTATE 180 -3, -1 A Give it a push into Quadrant I -5, -5 B -2, -5 C
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 Give it a push into Quadrant I
Give it a push into Quadrant I ROTATE 180 C ’ B’ A’ Give it a push into Quadrant I
C ’ B’ A’ ROTATE 180 Give it a push into Quadrant I Compare the old and new coordinates.
ROTATE 180 2, 5 C ’ 5, 5 B’ 3, 1 A’ -3, -1 Give it a push into Quadrant I Compare the old and new coordinates. -5, -5 -2, -5
2, 5 5, 5 3, 1 -3, -1 -5, -5 -2, -5 C ’ B’ A’ CHANGE BOTH SIGNS. ROTATE 180 2, 5 C ’ 5, 5 B’ 3, 1 A’ -3, -1 Give it a push into Quadrant I Compare the old and new coordinates. What’s the shortcut? CHANGE BOTH SIGNS. -5, -5 -2, -5
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV -3, -1 A -5, -5 B -2, -5 C
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV
Give it a push into Quadrant IV ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV A C ’ A’ B C B’
A C ’ A’ B C B’ ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV Compare the old and new coordinates. A C ’ A’ B C B’
ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV Compare the old and new coordinates. -3, -1 A 5, -2 C ’ 1, -3 A’ -5, -5 B -2, -5 C 5, -5 B’
ROTATE 90 COUNTERCLOCKWISE Give it a push into Quadrant IV Compare the old and new coordinates. Shortcut: SWITCH THE COORDINATES. 2. TAKE THE OPPOSITE OF THE NEW X -3, -1 A 5, -2 C ’ 1, -3 A’ -5, -5 B -2, -5 C 5, -5 B’
Pretend the x-axis is a mirror. REFLECT ACROSS THE x-AXIS Pretend the x-axis is a mirror. Reflect each vertex. B’ A’ D ’ C ’ C D A B
Pretend the y-axis is a mirror. REFLECT ACROSS THE y-AXIS Pretend the y-axis is a mirror. Reflect each vertex. C ’ C D ’ D A A’ B B’
4, 2 -4, 2 6, -2 -2, -2 C ’ D ’ D C A B A’ B’ -2, 1 2, 1 -1, -1 3, -1 DILATE BY A FACTOR OF 2 Find the coordinates for all vertices. 4, 2 C ’ -4, 2 D ’ -2, 1 2, 1 D C -1, -1 3, -1 A B 6, -2 -2, -2 A’ B’ Multiply each value by the factor: 2
DILATE BY A FACTOR OF -6, 6 D 3, 6 C -2, 2 D ’ 1, 2 C ’ Find the coordinates for all vertices. 1/3 , -1 A’ 2, -1 B’ 1, -3 A 6, -3 B Multiply each value by the factor: 1/3 or Divide by 3