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Unit 2 – Triangles

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Unit 2 – Triangles

Review for Final Exam

- A scalene triangle is a triangle with no two sides the same length.

- An obtuse triangle is a triangle that has one angle measuring greater than 90°.

- An isosceles right triangle is a triangle with an angle measuring 90° and no two sides congruent.

- If the base angles of an isosceles triangle each measure 48°, then the vertex angle has a measure of 132°.

- If a triangle has two angles of equal measure, then the triangle is equilateral.

- If a triangle has two angles of equal measure, then the third angle is acute.

- If two sides of a triangle measure 45 cm and 36 cm, then the third side must be greater than 9 cm and less than 81 cm.

- The sum of the measures of the three angles of an obtuse triangle is greater than the sum of the measures of the three angles of an acute triangle.

- The incenter, the centroid, and the circumcenterare always inside the triangle.

- An altitude of a triangle must be inside the triangle.

- The orthocenter of a triangle is the point of intersection of the three perpendicular bisectors of the sides.

- If is a median of and point D is the centroid, then TD = 3DR.

- The incenter of a triangle is the point of intersection of the three angle bisectors.

If a triangle is a right triangle, then the acute angles are complementary.

- A stained-glass artist wishes to circumscribe a circle about a triangle in her latest abstract design.

- Rosita wants to install a circular sink in her new triangular countertop. She wants to choose the largest sink that will fit.

- Julian Chive wishes to center a butcher-block table at a location equidistant from the refrigerator, stove, and sink.

- The first-aid center of Mt. Thermopolis State Park needs to be at a point that is equidistant from three bike paths that intersect to form a triangle.