Geometry Chapter 5 Review
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Transcript Geometry Chapter 5 Review
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
____________________.