Transformations, Congruence & Similarity

Transformations, Congruence & Similarity

February 1, 2022

Multiple Choice

Are the two angles below congruent?

• yes

• no

Multiple Choice

Are these triangles similar?

• Yes

• No

​Vocabulary

• Transformation - an operation that maps an original figure onto a new figure ​

• Original Figure - is called the PRE-IMAGE

• New Figure - is called the IMAGE​

• Rigid Transformation - a transformation that creates an image that is congruent to the pre-image. (translation, reflection, and rotation ONLY)​

THESE ARE THE ONLY 3 TRANSFORMATIONS THAT CREATE CONGRUENT IMAGES! RIGID TRANSFORMATIONS

​Types of Transformations

​Translation - a slide that moves all points in the same direction and same distance

​Reflection - a FLIP over a certain line, all points from the pre-image to image are the same distance apart.

​Rotation - a TURN around a fixed point, all points from the pre-image to image are the same distance apart.

Multiple Choice

Fill in the blank: Translations create __________ figures.

• Similar
• Congruent

Multiple Choice

Fill in the blank: Rotations create __________ figures.

• Similar
• Congruent

Multiple Choice

Fill in the blank: Reflections create __________ figures.

• Similar
• Congruent

Multiple Choice

Name the transformation.

• Translation
• Reflection
• Rotation

Multiple Choice

What is this picture an example of? 

• An angle
• A cat vertex 
• Rotation 

Multiple Choice

What transformation is happening to the red triangle to get to the blue triangle?

• Translation
• Rotation
• Reflection