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Chapter 5 Review

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Final Question
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When three or more lines intersect at one point.

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The point of concurrency for the perpendicular bisectors of a triangle.

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The point of concurrency for the angle bisectors.

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When all three points of a triangle lie on a circle and the circumcenter of the triangle is the center.

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The use of indirect reasoning, often where only one statement and its negation are the possible outcomes.

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Which theorem says that if two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle?

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The corollary to the Triangle Exterior Angle theorem says what about the following picture and its angles?

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The triangle inequality theorem says the sum of the lengths of any two sides of a triangle is _____________ than the length of the third side.

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If a point is on the perpendicular bisector of a segment, then it is _____________ from the endpoints of the segment.

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The concurrency of medians theorem states that the point of concurrency is exactly __________ the distance from each vertex to the midpoint of the opposite side.

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What is always true about the altitudes of a triangle, other than that they make right angles?

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If triangle ABC has a bisector that runs from B to D, and D is the midpoint of AC, what does this mean for lengths AB and CB?

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If a point is on the bisector of an angle, then the point is ___________ from the sides of the angles.

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The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the _______________.

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The bisectors of the angles of a triangle are concurrent at a point equidistant from the ______________ of the triangle.

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True or false: Medians make right angles with the lines they bisect.

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What is the first step in writing an indirect proof?

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Which of these three statements negate each other: A is parallel to B, A is congruent to B, A is perpendicular to B.

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Write a negation to the following statement: We did not go to class.

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What type of triangle will have an orthocenter outside of the triangle?

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A segment whose endpoints are a vertex and the midpoint of the opposite side.

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The perpendicular segment from a vertex of the triangle to the line containing the opposite side.

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The point of concurrency of the medians.

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The point of concurrency of the altitudes.

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When considering all possibilities and then determining all but one is false, and the remaining answer is true.

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Concurrent
Circumcenter
Incenter
Circumscribed Triangle
Indirect Proof
Hinge
Angle 1's measure is greater than angle two and three.
Greater than
Equidistant
Two-Thirds (2/3)
They are concurrent
They are congruent
Equidistant
Vertices
Sides
False
Make a negation assumption
First and Third
We did go to class.
Obtuse
Median
Altitude
Centroid
Orthocenter
Indirect Reasoning





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