Congruent Parts

Front

What does the symbol ≅ represent?

Back

The symbol ≅ represents congruence, indicating that two figures or angles are equal in size and shape.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that shows two geometric figures are congruent, often written in the form of 'Figure A ≅ Figure B'.

Front

If ∠E ≅ ∠A, what can we say about their measures?

Back

If ∠E ≅ ∠A, then the measure of ∠E is equal to the measure of ∠A.

Front

What is the definition of congruent segments?

Back

Congruent segments are line segments that have the same length.

Front

How can you determine if two triangles are congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal, which can be proven using criteria like SSS, SAS, ASA, AAS, or HL.

Front

What does it mean for shapes to be congruent?

Back

Shapes are congruent if they can be transformed into each other through rotations, reflections, or translations without changing their size or shape.

Front

What is the relationship between congruent angles?

Back

Congruent angles have the same measure.

Front

If AB ≅ EF, what can we conclude about the lengths of AB and EF?

Back

If AB ≅ EF, then the length of segment AB is equal to the length of segment EF.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which parts of the figures correspond to each other.

Front

What is the difference between congruent and similar shapes?

Back

Congruent shapes are identical in size and shape, while similar shapes have the same shape but may differ in size.