Two objects are said to be congruent if they are of exactly the same ___ and ___.

Shape and size

What method can be used to check the congruence of two plane figures?

Superposition, where one figure is placed over the other to see if they cover each other exactly.

Fill in the blank: Two angles are congruent if their measures are ___ and their arms do not matter.

The same

True or False: Two triangles are congruent if only two sides are equal.

False. Two triangles must have all corresponding sides and angles equal to be congruent.

Riddle: I am a shape that can be drawn in two dimensions, and two of me are congruent if I cover my twin exactly. What am I?

A plane figure

What does the SSS congruence criterion state?

Two triangles are congruent if three sides of one triangle are equal to the three corresponding sides of the other triangle.

Fill in the blank: The ASA congruence criterion states that two triangles are congruent if two angles and the ___ side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

Included

True or False: The hypotenuse and one side must be equal in both triangles for them to be congruent under the RHS criterion.

True

What is the relationship between the corresponding vertices of two congruent triangles?

Corresponding vertices of two congruent triangles match; for example, vertex A corresponds to vertex X.

Riddle: I can be a measure of an angle, and when two of me are the same, I reveal congruence. What am I?

Angle measure