Geometry Chapter 5 Review
Is the inverse true?
 If a triangle has three congruent sides, then it is
equiangular.
Is the contra-positive true?
 If a triangle has three congruent sides, then it is
equiangular.
Is the inverse true?
 If an isosceles triangle is obtuse, then its vertex angle
is obtuse.
Is the contra-positive true?
 If an isosceles triangle is obtuse, then its vertex angle
is obtuse.
Is the inverse true?
 If two lines are parallel, then they do not intersect.
Is the contra-positive true?
 If two lines are parallel, then they do not intersect.
Midsegment
 When a triangle’s sides are cut by medians, the
relationship to the opposite side is _____.
Midsegment
 If a triangle’s midsegment measurement is x, the
opposite side’s measurement is _____.
Identify the contradiction.
 I. Angles A and B are acute angles.
 II. Angle A = 45°.
 III. Angles A and B are supplementary.
Identify the contradiction.
 ABCD is a quadrilateral.
 ABCD is a square.
 Angle A > Angle D.
True or False and Explain
 An equilateral triangle cannot have a right angle.
Explain
 The base of an isosceles triangle has a length of 10
feet. What can you say about the length of the legs?
Explain
 Two sides of a triangle have lengths of 12 and 18.
What can you say about the length of the third side?
It can be any number between ____ and ____.
How do you know?
Fill in the Blank
 The circumcenter of a right triangle lies inside,
outside, or on the triangle?
Fill in the Blank
 The largest angle of a triangle is the angle opposite
the __________ _________.
Circumcenter
 Find the center of the circle that circumscribes the
triangle plotted at the following points:
(-7, 3), (9, 3), and (-7, -7).
Fill in the Blank
 A _______ is from a vertex and cuts the opposite
side of a triangle in half.
Fill in the Blank
 A ________ is from a vertex meeting the opposite
side of a triangle at a 90° angle.
Fill in the Blank
 A _________ cuts a segment into two congruent
parts at a right angle.
Fill in the Blank
 The ____________ of a statement has the
opposite truth value.
Fill in the Blank
 Two collinear rays with the same endpoint are
known as a ____________.
Fill in the Blank
 The medians of a triangle are concurrent at a point
called the __________________.
Fill in the Blank
 A ____________ angle has a measure between 90
and 180.
Fill in the Blank
 Coplaner lines that do not intersect are called
_________ lines.
Fill in the Blank
 Noncoplaner lines that do not intersect are called
_________ lines.
Fill in the Blank
 A ________ triangle has one angle formed by
perpendicular lines.
Fill in the Blank
 The point of concurrency (intersection) of the
perpendicular bisectors of a triangle is the
____________________.
Fill in the Blank
 The point of concurrency (intersection) of the
altitudes of a triangle is the
____________________.
Fill in the Blank
 The point of concurrency (intersection) of the
medians of a triangle is the
____________________.