Question

1 multiple answer 12 points select all the statements that are not true. two squares with the same side lengths are always congruent two parallelograms with the same side lengths are always congruent two rectangles with the same side lengths are always congruent two rhombuses with the same side lengths are always congruent

Explanation:

Step1: Recall congruence definition

Two figures are congruent if they have the same shape and size.

Step2: Analyze squares

Squares have all - sides equal and all angles equal to 90°. If two squares have the same side - lengths, they are congruent.

Step3: Analyze parallelograms

Two parallelograms with the same side - lengths may not be congruent because the angles between the sides can be different. For example, one parallelogram can be a rectangle (with 90° angles) and another can be a non - rectangular parallelogram.

Step4: Analyze rectangles

Rectangles have all angles equal to 90°. If two rectangles have the same side - lengths, they are congruent.

Step5: Analyze rhombuses

Two rhombuses with the same side - lengths may not be congruent because the angles between the sides can vary.

Answer:

Two parallelograms with the same side lengths are always congruent, Two rhombuses with the same side lengths are always congruent