Unit 2 triangles
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Unit 2 – Triangles. Review for Final Exam. True/False. A scalene triangle is a triangle with no two sides the same length. True/False. An obtuse triangle is a triangle that has one angle measuring greater than 90°. True/False.

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Unit 2 – Triangles

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Unit 2 – Triangles

Review for Final Exam


True/False

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


True/False

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


True/False

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


True/False

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


True/False

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


True/False

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


True/False

  • 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.


True/False

  • 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.


True/False

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


True/False

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


True/False

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


True/False

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


True/False

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


Always/Sometimes/Never

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


Identify the point of concurrency.

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


Identify the point of concurrency.

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


Identify the point of concurrency.

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


Identify the point of concurrency.

  • 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.


Determine the angle measures.


Find x and y.


Name the conjecture that leads to this congruence statement.


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