All Common Core: High School - Geometry Resources
Example Questions
Example Question #1 : Construct Basic Geometric Figures
Determine whether the statement is true or false:
An equilateral triangle must have sides of equal length but the interior angles may differ.
True
False
False
By definition an equilateral triangle has all sides that are of equal length and angles are also equal. All interior angles on an equilateral triangle equal regardless of the side lengths.
Therefore, the statement "An equilateral triangle must have sides of equal length but the interior angles may differ." is false.
Example Question #591 : High School: Geometry
Determine whether the statement is true or false:
In a parallelogram, opposite sides are always congruent.
True
False
True
Using corresponding parts of congruent triangles proves this statement true.
A parallelogram is a four sided figure that has opposite parallel sides. Further more, when a parallelogram is divided into two triangles by drawing a line diagonally, they are equal triangles and thus the corresponding sides of each triangle are equal which in turn, makes the sides of the parallelogram congruent.
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