Download Test Review Classify Measure and Special Segments in Triangles

Review SheetSheet-Classifying Triangles
Name _____________________
1.) Definitions and Pictures: Briefly describe each term and sketch a picture.
a) Sides
b) vertices
c) obtuse triangle
d) acute triangle
e) right triangle
f) equiangular triangle
g) hypotenuse
i) scalene triangle
j) isosceles triangle
k) equilateral triangle
m) base
n) base angles
2.) Classify triangle ABC by its sides given …
A (2,3) B (4,3) C (3,-2)
a) Graph the points to make the triangle.
b) Find the distance/lengths of each side.
d = ( x − x) 2 + ( y − y ) 2
c) Classify the triangle by its sides.
3.) Triangle Angle Sum Theorem
_______ a.)
_______ b.)
4.) Exterior Angle Theorem
______ a.)
______ b.)
h) legs
l) vertex angle
Review SheetSheet-Classifying Triangles
Name _____________________
5.) Isosceles Triangle Theorem
a.)
b.)
x = __________
x = __________
6.) Find the missing angles.
a.)
b.)
7.) Use theorems to solve word problems.
Given isosceles triangle ABC with vertex < C. If AC = 8x + 12 and BC = 11x + 3 and AB = 9x + 2.
the measure of each side.
x = ___________
AC = ___________
AB = ___________
BC = ___________
Given an equilateral triangle ABC with AB = 5x + 2 and BC = 7x – 8, Find AC.
x = ___________
AC = ___________
In triangle ABC, m <A = 3x + 8, m <B = 8x – 5, m <C = 5x + 1. Find each angle.
<A = _____ <B = _____
<C = _____
Triangle ABC has a perimeter of 136 inches. Find x and each side if AB = 5x – 2, BC = 4x + 6, and
AC = 8x – 4. What kind of triangle is Triangle ABC? ____________
x = ______
AB = ______
BC = ______
AC = ______
8.) Determine if these can be three lengths of the sides of a triangle (yes or no).
18, 4, 5 _______
6, 4, 10 ________
5, 12, 13 ________
Find