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Ch. 3 Review Part II Honors 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/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