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This review covers essential concepts in geometry, focusing on triangles and their properties, including medians and altitudes that divide sides into congruent segments and form right angles. It explains characteristics of isosceles triangles, highlighting the requirements for congruence through SSS, SAS, and ASA criteria. Students will also explore the relationships between angles in right and acute triangles, the use of auxiliary lines, and solve for unknowns while marking congruent segments and angles correctly. Essential for mastering geometry concepts and preparing for tests.
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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
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
