Congruence and Orientation

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Which type of transformation does not change the shape's orientation?

• translation

• reflection

• rotation

• none, they all change the shape's orientation

Which transformation(s) maintain congruency but not orientation?

• Translation

• Translation & Reflection

• Rotation

• Reflection & Rotation

Dilations keep

• both congruence and orientation

• only congruence

• only orientation

• neither

A transformation is applied to create a new figure. Which transformation does not preserve orientation?

• A dilation with a scale factor of (⅕x, ⅕y)

• A translation 4 units up

• A dilation by a scale factor of 5

• A rotation 90° clockwise

What type of transformation is shown?

(a)  

• Rotation

• Translation

• Dilation

• Reflection

Choose the best option for each category.

Congruence:

(a)  

Orientation of the figure:

​ (b)   ​​ ​

Orientation of the vertices:

​ (c)  

• Congruence is not preserved

• Orientation of the figure is preserved

• Orientation of the vertices is preserved

• Congruence is preserved

• Orientation of the vertices is not preserved

• Orientation of the figure is not preserved

Choose the correct option for each category.

Congruence:

(a)  

Orientation of the figure:

​ (b)  

​Orientation of the vertices:

​ (c)  

• Congruence is preserved

• Orientation of the vertices is preserved

• Congruence is not preserved

• Orientation of the figure is not preserved

• Orientation of the vertices is not preserved

• Orientation of the figure is preserved

If triangle STU is rotated 90° counterclockwise about the origin to create triangle S’T’U.

The angle measures of triangle STU are ​ (a)   to the corresponding angle measures of triangle S’T’U.

• congruent

• not congruent

• similar