Common Core: High School - Geometry : Construct basic geometric figures
Study concepts, example questions & explanations for Common Core: High School - Geometry
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Example Questions
Example Question #1 : Construct Basic Geometric Figures
What must occur to construct two 
Move the nonterminal ray of the angle up 
Move the terminal ray of the angle down 
Move the terminal ray of the angle up 
Move the nonterminal ray of the angle down 
Bisect the 
Bisect the
To construct two 
Since
that makes a bisection of the 
Moving the terminal ray will not create two angles and thus it cannot be the solution.
Nonterminal is not the correct terminology and therefore, it cannot be the correct solution.
Example Question #581 : High School: Geometry
How are congruent lines identified in a parallelogram?
Double hash marks
One single hash mark on one line and a double hash mark on the parallel line
Single hash marks
Either single or double hash marks
None of the other answers
Either single or double hash marks
Parallel lines by definition are lines that will never intersect one another. This means the slope of the lines are the same. When these lines make up a parallelogram figures that are created include squares, rectangles, diamonds, and rhombi.
Some images that depict parallelograms are as follows. Notice that either single or double hash marks can be used to identify that opposite lines are congruent.
Example Question #2 : Construct Basic Geometric Figures
Given the point 
Perpendicular lines are done by drawing a vertical line at 
Perpendicular lines are done by drawing a vertical line at 
Perpendicular lines are done by drawing a vertical line at 
Perpendicular lines are done by drawing a vertical line at 
Perpendicular lines are done by drawing a vertical line at 
Perpendicular lines are done by drawing a vertical line at
To construct perpendicular lines first recall what it means to be perpendicular.
Recall that perpendicular lines intersect at one point and have opposite, reciprocal slopes.
Plotting the given point is as follows:
Given this point, there are numerous combinations of perpendicular lines that can be made. Looking at the possible options the only pair that intersect at the point 
Example Question #582 : High School: Geometry
Determine whether the statement is true or false:
Lines that have fractional slopes cannot be perpendicular to other lines.
False
True
False
For two lines to be perpendicular they must intersect at one point and have the opposite reciprocals on each other. Having slopes that are opposite reciprocals creates a 
Therefore, a line that has a fractional slope can also have a perpendicular line. If the line in question has a slope of 
Thus, the statement, "Lines that have fractional slopes cannot be perpendicular to other lines." is false.
Example Question #3 : 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.
False
True
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 
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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