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Common Core Standard HSG-CO.C.11 Questions

Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

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Grade 9 Symmetry and Transformations CCSS: HSG-CO.A.3, HSG-CO.C.11

Which of the following could be used to map this parallelogram onto itself?
Parallelogram v2

Parallelogram v2

reflection
rotation
reflection and rotation
neither

Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

Which properties of parallelogram ABCD are true?

Parallelogram ABCD v1

Sides AB and DC are parallel
Angles B and C are supplementary
Angle A = Angle C
The sum of all the angles is 360 degrees
all of the above

Grade 9 Triangles

In parallelogram ABED, [math]ang1[/math] [math]~=[/math] [math]ang2[/math]. Which is the reason that triangle ABC and triangle EDF are congruent?

Parallelogram ABCDEF v1

AAS
SSA
SAS
ASA

Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

Given parallelogram ABCD, draw a diagonal from angle A to Angle C. Prove that triangle ABC is congruent to triangle CDA.

Parallelogram ABCD v1

Grade 9 Similar and Congruent Figures CCSS: HSG-CO.C.11

Given [math]bar (AB) ~=bar(CD)[/math] and [math]bar(AD)~=bar(BC[/math], prove [math]bar(AB)[/math] || [math]bar(CD).[/math]

Parallelogram ABCD v4

Grade 10 Geometry and Measurement CCSS: HSG-SRT.B.5

Given [math]ang1 ~=ang2[/math], [math]bar(FD)~=bar(AC)[/math] and [math]bar(ED)~=bar(AB)[/math], prove that [math]bar(BF)~=bar(CE)[/math].

Parallelogram ABCDEF v3

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