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4.1–4.3 Quiz Review
Name: _____________________________________________
Serafino ▪ Geometry
4.1–4.3
QR
Per: ___________
Date: ____________________
Systems & Classifying Triangles ANSWER KEY
Classifying Triangles; Isosceles & Equilateral Triangles;
Triangle Inequalities
Determine if the statement is TRUE OR FALSE: Write the word.
1)
The sum of the measure of the angles in an obtuse triangle is greater than the sum of the measures of the
angles in an acute triangle.
FALSE!
2) If the base angles of an isosceles triangle each measure 37°, then the third angle measures 106°
TRUE!
3) It is possible to construct a triangle with side lengths 12 cm, 15 cm, and 25 cm:
TRUE!
4) For
ABC , if mA  52 , mB  88 , and mC  40 , then AB is the shortest side.
TRUE!
5) If the measure of an exterior angle of a triangle is 45°, then each of the remote interior angles also has
measure 45°.
FALSE!
Is it possible to form a triangle with the given side lengths? If it is not possible, explain why not.
6)
13 in., 13 in. and 26 in. NO, a side must be LESS than the sum of the other two
7)
2 ft, 3 ft and 4 ft
8)
What is the range of possible lengths of the 3rd side?
YES
9) Compare the segments below and determine
which is the larger segment: AB
19, 2,
17 < x < 21
10) Compare the angles below and determine
which is the larger angle:  EDF
B
D
30
60
40
A
14
M
K
C
14
14
12
E
13
F
4.1–4.3 Quiz Review
11) A triangle on the coordinate plane has the vertices: F O X
F (2, 3)
a)
O (4, –1)
X ( _____ , ______ )
Write the equation of the line that goes through F and O.
y = –2x + 7
b)
Find Point X, the intersection of:
Line FX:
x + 8y = 26
c)
FO = √20. FX = √65. Find the length of side OX.
Line OX:
–x + 2y = –6
X (10, 2)
√73
d) Classify the triangle by its sides and angles. State how you know.
Scalene, Right
Find the value of x or ?:
12)
x= –3
x = 7, y = 50
17.
x=3
13) ? = 31
x = 15, y = 8
18.
x = 5, y= 9
x=9