Unit 2 – TrianglesReview 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 circumcenter are 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.TR TIEV

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.

is equiangular and perimeter

51. _______

ANG

ANG mAN= =

V

V

Name the conjecture that leads to this congruence statement.

Prove : PAT IMTV V@

Given : bisects ,TS MA MT AT@Prove : MST ASTV V@

Given : is isoscelesandCDis thebisector of the vertex angle.ABCV

Prove : AD BD@