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Ch. 3 Review Part II

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Ch. 3 Review Part II

Honors Geometry

- 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

A right triangle has two acute angles.

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!)

An isosceles triangle has a right angle.

An isosceles triangle has a right angle.

An isosceles triangle has a right angle.

Sometimes

An acute triangle has three acute angles.

An acute triangle has three acute angles.

ALWAYS (definition)

Triangles are congruent if two pairs of corresponding sides and a pair of corresponding angles are congruent.

Triangles are congruent if two pairs of corresponding sides and a pair of corresponding angles are congruent.

SOMETIMES (SAS works; SSA doesn’t)

If an isosceles triangle has a 40 degree angle, then it has a 70 degree angle.

If an isosceles triangle has a 40 degree angle, then it has a 70 degree angle.

Sometimes

A median of a triangle lies inside the triangle.

A median of a triangle lies inside the triangle.

ALWAYS

An equilateral polygon is also equiangular.

An equilateral polygon is also equiangular.

SOMETIMES

Altitudes of a triangle lie inside the triangle.

Altitudes of a triangle lie inside the triangle.

Altitudes of a triangle lie inside the triangle.

SOMETIMES