unit 2 – triangles

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= =VV

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.ABCVProve : AD BD@