Transcript Ch. 3 Review Part II

Ch. 3 Review
Part II
Honors Geometry
Ch. 3 Test (Part II) Review
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Median: Divides side to which it is drawn into
two congruent segments.
Altitude: Forms right angles with the side to
which it is drawn.
Draw all medians/altitudes of triangle
Circles: All radii are congruent
Isosceles Triangles: At least two congruent
sides and congruent base angles. (Mark
sides/angles congruent!!)
Overlapping triangles: Draw triangle
separately to label SSS, SAS, or ASA.
Prove triangles congruent by H.L.rt. <
Auxiliary Lines
Properties
Solve for x:
Solution: Mark congruent
segments and angles!!!
Sometimes/Always/Never
A right triangle has two
acute angles.
Sometimes/Always/Never
A right triangle has two
acute angles.
Answer: ALWAYS (one angle
is 90 degrees, so sum of
other two must equal 90 –
must be acute!)
Sometimes/Always/Never
An isosceles triangle
has a right angle.
Sometimes/Always/Never
An isosceles triangle
has a right angle.
Sometimes/Always/Never
An isosceles triangle
has a right angle.
Sometimes
Sometimes/Always/Never
An acute triangle has
three acute angles.
Sometimes/Always/Never
An acute triangle has
three acute angles.
ALWAYS (definition)
Sometimes/Always/Never
Triangles are congruent if two
pairs of corresponding sides and
a pair of corresponding angles
are congruent.
Sometimes/Always/Never
Triangles are congruent if two
pairs of corresponding sides and
a pair of corresponding angles
are congruent.
SOMETIMES (SAS works; SSA
doesn’t)
Sometimes/Always/Never
If an isosceles triangle has a 40
degree angle, then it has a 70
degree angle.
Sometimes/Always/Never
If an isosceles triangle has a 40
degree angle, then it has a 70
degree angle.
Sometimes
Sometimes/Always/Never
A median of a triangle lies
inside the triangle.
Sometimes/Always/Never
A median of a triangle lies
inside the triangle.
ALWAYS
Sometimes/Always/Never
An equilateral polygon is also
equiangular.
Sometimes/Always/Never
An equilateral polygon is also
equiangular.
SOMETIMES
Sometimes/Always/Never
Altitudes of a triangle lie
inside the triangle.
Sometimes/Always/Never
Altitudes of a triangle lie
inside the triangle.
Sometimes/Always/Never
Altitudes of a triangle lie
inside the triangle.
SOMETIMES