
Transformations, Sequences, and Congruence
Presentation
•
Mathematics
•
9th - 10th Grade
•
Hard
Joseph Anderson
FREE Resource
11 Slides • 17 Questions
1
Congruence Transformations
Geometry
Mrs. LaGrange
2
Warm up!
Do you remember?
3
Multiple Choice
Use the distance formula
(x2−x1)2+(y2−y1)2 to find the length of AB for A(2,7) and B(7,-5).169
13
85
17
4
Multiple Choice
What point is 6 units to the right of (3,5)?
(3, 11)
(9, 11)
(9, 5)
(3, 11)
5
Multiple Choice
Are these triangles congruent?
Yes
No
6
Math spoken here.
Vocabulary
Transformation: the change
Preimage: original
Image: new
7
Identify Transformations
Reflection: uses a line of reflection to create a mirror image of the original feature.
8
Reflection Reference Guide:
Coordinate notation
9
Multiple Choice
Which graph shows the pre-image reflected over y-axis?
10
Multiple Choice
11
Multiple Choice
12
Multiple Choice
13
Multiple Choice
14
Multiple Choice
Flipping a figure is a ...
Rotation
Reflection
Dilation
Translation
15
Rotation about a point
Rotation is the turning or spinning of a figure through a specific angle and direction about a fixed point.
Note: Point A is called the center of rotation or turn center.
16
Rotation Quick Reference
Coordinate Plane (In this lesson if a rotation is shown in a coordinate plane the center of rotation is the origin.)
17
Rotations: Direction and Angle
The direction of a rotation can be clockwise or counterclockwise. The angle of rotation is formed by rays drawn from the center of rotation through corresponding points on the original figure and its image.
18
Multiple Choice
19
Multiple Choice
20
Multiple Choice
21
Multiple Choice
22
Translations:
In the coordinate plane, a translation moves an object a given distance right or left and up or down.
23
24
Multiple Choice
25
Multiple Choice
26
Multiple Choice
27
Multiple Choice
28
Questions?
Your turn for practice.
Congruence Transformations
Geometry
Mrs. LaGrange
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