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Fundamentals of Geometry
Chapter 5 Study Guide
Name _______________
_
IS IT POSSIBLE???? Can you draw the type of triangle indicated?
For Questions 1-6, draw the type of triangle specified OR write not possible.
1) obtuse acute triangle
2) right isosceles triangle
3) acute scalene triangle
4) obtuse scalene triangle
5) acute isosceles triangle
6) obtuse equilateral triangle
For Questions 7-10, find the value of each variable.
7)
9)
8)
10)
11) The measures of the angles of a triangle are 2x + 6, 2x + 7 and 4x + 7.
Find the measure of each angle, not just x!
True or False:
12.)
a.)
JK ≅ KN
________________________
b.)
LK ≅KN
________________________
c.)
∠L ≅ ∠M
________________________
d.)
∠J ≅ ∠N
________________________
Fill in the blank:
13.)
a.)
∠A ≅ __________________
b.)
CB ≅ __________________
c.)
∠ACB ≅ __________________
d.)
DF ≅ __________________
For Questions 14 and 15, complete each congruent statement.
14)
ΔABC ≅ ____________
15)
ΔJKL ≅ ____________
For Questions 16 and 17, name the additional congruent parts needed so that
the triangles are congruent by the postulate or theorem indicated.
16) SSS
17) AAS
Additional congruent parts:
Additional congruent parts:
_______ ≅ ________
_______ ≅ ________
For Questions 18-21, determine whether each pair of triangles is congruent by
SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent,
write not possible.
18)
19)
20)
21)
Congruent Triangles:
Tell whether the triangles are congruent by one of the following rules:
SSS
SAS
ASA
AAS
1.)
_______________________________
2.)
_______________________________
3.)
_______________________________
4.)
Matching: Match the correct postulate to the definition.
__________ 1.) SSS
a.) two angles and the nonincluded side are congruent
__________ 2.) SAS
b.) two sides and the included angle are congruent
__________ 3.) ASA
c.) all three sides are congruent
__________ 4.) AAS
d.) two angles and the included side are congruent
Congruent Triangles:
congruent.
Use the postulates to tell why the triangles are
SSS
SAS
ASA
AAS
5.)
____________________________
7.)
____________________________
6.)
____________________________
8.)
____________________________