Properties of Parallelograms

To prove that the following parallelogram PQRS is a rhombus, which of the following must be true?

• PR⊥SQ

• PR≅SQ

• ∠7≅∠10 and ∠6≅∠9

• ∠3≅∠12 and ∠2≅∠11

Tags

CCSS.HSG.CO.C.11

To prove that the following parallelogram ABCD is a rectangle, which of the following must not be true?

• ∠A≅∠B≅∠C≅∠D

• AD≅BC

• m∠A=90

• AB≅AD

Tags

CCSS.HSG.CO.C.11

To prove that the following parallelogram ABCD is a rectangle, which of the following must be true?

• ∠C≠∠D

• AD≅DC

• m∠D=90

• AC≠DB

Tags

CCSS.HSG.CO.C.11

• A

• B

• C

• D

Tags

CCSS.HSG.CO.C.11

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

Tags

CCSS.HSG.CO.C.11

What is the value of x?

• 132

• 66

• 114

• 48

Tags

CCSS.HSG.CO.C.11

To prove that the following parallelogram PQRS is a rhombus, which of the following must not be true?

• PQ≅PS

• PR⊥SQ

• ∠7≅∠6 and ∠3≅∠2

• ∠3≅∠12 and ∠2≅∠11

• A

• B

• C

• D

Tags

CCSS.HSG.CO.C.11

Find the measure of the missing angle.

• A

• B

• C

• D

What is the measure of the missing angle?

• A

• B

• C

• D

Tags

CCSS.7.G.B.5