Essentials of Geometry
Reasoning and Proof
Parallel and Perpendicular Lines
Congruent Triangles
Lines in triangles
100
The three undefined terms of plane geometry
What are point, line, and plane?
100
An unproven statement that is based on observations.
What is a conjecture?
100
y=mx+b
What is slope-intercept form?
100
Figures with the same size and shape
What are congruent figures?
100
A segment that connects the midpoints of two sides of the triangle.
What is a midsegment of a triangle?
200
Line segments that have the same length
What is congruent segments?
200
In an if-then form statement, the "if" part contains the _________ and the "then" part contains the __________.
What is hypothesis and conclusion?
200
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
What is the corresponding angles postulate?
200
The angle between two sides of a triangle
What is an included angle?
200
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.
What is the Midsegment Theorem?
300
A ray the divides an angle into two angles that are congruent.
What is angle bisector?
300
A statement that contains the phrase "if and only if".
What is a biconditional statement?
300
Find the slope of the line that passes through the given points; (1,-1), (3,3)
What is 2?
300
Corresponding parts of congruent triangles are congruent
What is CPCTC?
300
This involves placing geometric figures in a coordinate plane.
What is a coordinate proof?
400
Euclid
Who is the father of geometry?
400
Let a, b, and c be real numbers. If a=b c isn't equal to 0, then a/c = b/c.
What is division property?
400
if there is a line and a point not on a line, then there is exactly one line through the point perpendicular to the given line.
What is perpendicular postulate?
400
A statement that can be proven easily using the theorem
What is corollary?
400
In a plane, if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
What is the Perpendicular Bisector Theorem?
500
The area of a rectangle is 30 cm squared and its perimeter is 26 cm. What would the length and width be of the rectangle?
What is 10 cm and 3 cm?
500
Decide whether the statement is true or false. If false, give a real world counterexample. Statement: Any two planes intersect.
What is false? Example: Consider any pair of opposite sides of a rectangular prism.
500
Find the unknown coordinate so the line through the points has the given slope: (-3,2), (0,y); slope=-2
What is -4?
500
In a triangle, if m<1=x+5, m<2=46 degrees, and m<3=104 degrees, what is x=?
What is 25 degrees?
500
The point of intersection of the lines, rays, or segments
What is the point of concurrency?
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