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Tools of Geometry
Deductive Reasoning
Angle Relationships
Triangles
Special Segments in Triangles and Similarity
100

A line, segment or ray that divides an angle into two congruent angles

What is an angle bisector.

100

In the conditional statement, "If two lines intersect, then they intersect in exactly one point," the phrase "they intersect in exactly one point" is called the...

What is the conclusion.

100
A line that intersects parallel lines at two distinct points is called a...
What is a transversal.
100
The sum of the interior angles of a triangle.
What is 180 degrees.
100
A segment within a triangle whose endpoints lie on two sides of the triangle.
What is a midsegment.
200

The figure in which to planes intersect.

What is a line.

200

Given a true conditional statement and its converse is true, this type of statement can be written.

What is a biconditional.

200
Adjacent angles that sum to 180 degrees are referred to as ____________ angles.
What are supplementary angles.
200
The triangle exterior angle theorem states that "exterior angle of a triangle is equal in measure to..."
What is "the sum of the remote interior angles."
200
Using "side board image #4," find AB.
What is 60 units.
300
An undefined term in Geometry, having no dimensions
What is a point.
300
Determine whether the conjecture is valid using the Law of Detachment. If you want to go on the field trip, then you must have a signed permission slip. Tiffany has a signed permission slip. Conjecture: Therefore, Tiffany wants to go on the field trip.
What is the conjecture is invalid.
300
This angle pair are found within the parallel lines and are supplements of one another.
What are Same Side Interior Angles or "C" angles.
300
If a triangle's base angles are congruent, the triangle can be categorized as ________________.
What is isosceles.
300
Can segments of units 4, 6 and 12 form a triangle?
What is no.
400
B is between A and C. AC = 12.1 and AB = 6.8 units long. Find BC.
What is 5.3 units.
400

State the property that justifies the following statement: If m

What is the transitive property of equality.

400

m<1 = 7x + 15 degrees and m<2 = 10x - 9 degrees. Use "side board image #1" to find the value of x.

What is x = 8.

400
Name the 6 triangle congruence theorems.
What are SSS, SAS, ASA, AAS, HL, and CPCTC.
400
If the sides of a triangle are 5, 6 and 9 units long and the shortest side of a similar triangle is 15 units long, find the length of its longest side.
What is 27 units.
500
L is between K and M. KM = 3x + 1.5 units, KL = x + .5 units and LM = 3x - 2 units in measure. Find KM.
What is 10.5 units.
500
Give the contrapositive to the following conditional statement. If you studied your Geometry notes, then you did well on the Geometry exam.
What is "If you did not do well on the Geometry exam, then you did not study your Geometry notes."
500
If m<3 = (10x +8) degrees and m<5 = (25x - 3) degrees, find the value of x that would prove that line l is parallel to line m. Use "side board image #2."
What is x = 5.
500
Use "side board image #3" to find the m<PRS.
What is 47 degrees.
500
Using "side board image #5," and CG = 9 and FG = 2x + 1. Find x.
What is 1.75.