All Common Core: High School - Geometry Resources
Example Questions
Example Question #8 : Triangle Proofs
Consider triangle below. Line is the height of the triangle. Prove that triangle is made up of two congruent triangles, .
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Example Question #13 : Prove Parallelogram Theorems: Ccss.Math.Content.Hsg Co.C.11
Which of the following is the definition of a parallelogram?
A quadrilateral with two pairs of opposite parallel sides
A quadrilateral with one pair of parallel sides
A quadrilateral with four right angles
A quadrilateral with four congruent sides and four congruent angles
A quadrilateral with two pairs of opposite parallel sides
A parallelogram is a quadrilateral with two pairs of opposite parallel sides such as the following.
Opposite sides of a parallelogram are congruent as well as its opposite angles.
Example Question #1 : Parallelogram Proofs
Which of the following is the definition of a parallelogram?
A quadrilateral with one pair of parallel sides
A quadrilateral with two pairs of opposite parallel sides
A quadrilateral with four congruent sides and four congruent angles
A quadrilateral with four right angles
A quadrilateral with two pairs of opposite parallel sides
A parallelogram is a quadrilateral with two pairs of opposite parallel sides such as the following.
Opposite sides of a parallelogram are congruent as well as its opposite angles.
Example Question #11 : Prove Parallelogram Theorems: Ccss.Math.Content.Hsg Co.C.11
Which of the following is the definition of a parallelogram?
A quadrilateral with four congruent sides and four congruent angles
A quadrilateral with four right angles
A quadrilateral with one pair of parallel sides
A quadrilateral with two pairs of opposite parallel sides
A quadrilateral with two pairs of opposite parallel sides
A parallelogram is a quadrilateral with two pairs of opposite parallel sides such as the following.
Opposite sides of a parallelogram are congruent as well as its opposite angles.
Example Question #1 : Parallelogram Proofs
Prove that the following parallelogram has diagonals that prove two congruent triangles.
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Example Question #1 : Parallelogram Proofs
Prove that the following parallelogram has four pairs of consecutive supplementary angles.
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Thus, we have shown that this parallelogram has four pairs of consecutive supplementary angles.
Example Question #3 : Parallelogram Proofs
Prove the following parallelogram has two pairs of opposite congruent angles.
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Example Question #7 : Parallelogram Proofs
Prove the following parallelogram has opposite congruent sides.
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Thus, we have proven this parallelogram has congruent opposite sides.
Example Question #1 : Parallelogram Proofs
Prove that since this quadrilateral has two pairs of opposite congruent sides, it is a parallelogram.
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Thus, we have shown that if a quadrilateral has two pairs of congruent opposite sides, then it is a parallelogram.
Example Question #9 : Parallelogram Proofs
True or False: Is the following quadrilateral a parallelogram?
False
True
True
This is true because a theorem states that if a quadrilateral has two consecutive angles that are supplementary, then the quadrilateral is a parallelogram.