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. - PowerPoint PPT PresentationTRANSCRIPT
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Unit 2 – TrianglesReview for Final Exam
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True/False•A scalene triangle is a triangle with no
two sides the same length.
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True/False•An obtuse triangle is a triangle that has
one angle measuring greater than 90°.
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True/False•An isosceles right triangle is a triangle
with an angle measuring 90° and no two sides congruent.
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True/False•If the base angles of an isosceles triangle
each measure 48°, then the vertex angle has a measure of 132°.
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True/False•If a triangle has two angles of equal
measure, then the triangle is equilateral.
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True/False•If a triangle has two angles of equal
measure, then the third angle is acute.
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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.
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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.
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True/False•The incenter, the centroid, and the
circumcenter are always inside the triangle.
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True/False•An altitude of a triangle must be inside
the triangle.
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True/False•The orthocenter of a triangle is the point
of intersection of the three perpendicular bisectors of the sides.
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True/False•If is a median of and point D
is the centroid, then TD = 3DR.TR TIEV
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True/False•The incenter of a triangle is the point of
intersection of the three angle bisectors.
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Always/Sometimes/Never•If a triangle is a right triangle, then the
acute angles are complementary.
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Identify the point of concurrency.•A stained-glass artist wishes to
circumscribe a circle about a triangle in her latest abstract design.
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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.
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Identify the point of concurrency.•Julian Chive wishes to center a butcher-
block table at a location equidistant from the refrigerator, stove, and sink.
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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.
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Determine the angle measures.
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Find x and y.
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is equiangular and perimeter
51. _______
ANG
ANG mAN= =VV
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Name the conjecture that leads to this congruence statement.
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Prove : PAT IMTV V@
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Given : bisects ,TS MA MT AT@Prove : MST ASTV V@
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Given : is isoscelesandCDis thebisector of the vertex angle.ABCVProve : AD BD@