Congruence in Quadrilaterals

Determine the correct reason for statement #4.

• opposite sides of a parallelogram are congruent theorem

• all sides are parallel

• sides are congruent

• sides are supplementary

What is reason #3? Make sure you write-in the reasons on your proofs.

• Definition of a parallelogram

• Definition of a quadrilateral

• Opposite sides are congruent property

• Opposite sides are supplementary

What is reason # 3?

• Same-side interior angles theorem

• alternate interior angles theorem

• Definition of Parallel lines

• Definition of Perpendicular lines

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides equal

• Diagonals bisect each other

• Opposite angles equal

• Not enough info

Determine the correct reason for statement #3.

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorem

• Same- Side Angles Theorem

• Congruent Angles Theorem

Given this information, which quadrilateral is proven?

"A parallelogram with 2 adjacent sides congruent."

• Parallelogram

• Rectangle

• Rhombus

• Square

Brayden is working on a report in which he will compare and contrast the different types of quadrilaterals. Which statement should NOT be included in his report?

• All rhombuses are squares.

• All squares are parallelograms.

• All squares and rectangles have opposite sides that are congruent.

• All parallelograms, rectangles, and squares have opposite angles that are congruent.

When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to segment DC?

• A rectangle has 2 pairs of parallel sides.

• Any 2 sides of a rectangle are congruent.

• Congruent parts of congruent figures are corresponding.

• Corresponding parts of congruent figures are congruent.

Select all true statements based on the diagram.

• Angle CBE is congruent to angle ABE

• Angle CEB is congruent to angle DEA

• Segment DA is congruent to segment CB

• Segment DC is congruent to segment AB

Select all true statements based on the diagram.

• Angle CBE is congruent to angle DEA

• Angle CEB is congruent to angle DEA

• Segment DA is congruent to segment CB

• Segment DC is congruent to segment AB

• Line DC is parallel to line AB