Congruence and Transformations

MEANS HAVING THE SAME SHAPE AND SIZE?

• CONGRUIENCE

• CONGRUINCE

• CONGRUENCE

• CONGRUEENCE

IS THE TRIANGLES SAME OR CONGRUENT TO EACH OTHER??

• NO

• YES

• MAYBE

• I DONT KNOW WHY ARE YOU ASKING ME

IS THE TRIANGLES CONGRUENT TO EACH OTHER

• DEFINITELY YES

• A BIG NO

• MAYBE

• I REALLY DONT KNOW

Answer explanation

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

• Vertical Angle Theorem

• Segment Addition Postulate

• Reflexive Property of Congruence

• Perpendicular segment Theorem 

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

• congruent; a counterclockwise rotation of 90 degrees followed by a translation

• congruent; reflection

• congruent; translation

• not congruent

Which set of transformations could be applied to figure A to map it onto A'?

• reflect over y-axis, then translate down 2 units

• reflect over y-axis, then translate down 6 units

• rotate 180º about the origin, then reflect over x-axis

• rotate 90º CW about the origin, then relfect over x-axisfl

Which statement is true about the transformation?

• The transformation preserves congruency and maintains orientation.

• The transformation preserves congruency and does not maintains orientation.

• The transformation does not preserves congruency but maintains orientation.

• The transformation does not preserves congruency or maintains orientation.

The triangles are similar. Which series of transformations maps ABC onto DEF?

• reflection followed by a dilation

• rotation followed by a dilation

• translation followed by a dilation

• translation followed by a rotation

​ (a)   refers to whether the pre-image and image have the same size and shape.

• Congruence

• Similarity

• Orientation of the Figure

• Orientation of the Vertices

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• the figures are not similar.