ch. 3 review part ii honors geometry. ch. 3 test (part ii) review median: divides side to which it...

Ch. 3 Review Part IIHonors Geometry

Ch. 3 Test (Part II) Review 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/NeverTriangles are congruent if two pairs of corresponding sides and a pair of corresponding angles are congruent.

Sometimes/Always/NeverTriangles 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