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Honors Geometry: Test REVIEW
Triangles #1 IGO3.1-3.3
Name ________________________
Date ________
Period_____
Fill in the blanks using the given word bank: (Each word can only be used once)
Scalene, Isosceles, Equilateral, Acute, Right, Obtuse, Equiangular, 180, 90
1. A triangle in which at least two sides are congruent is a/an _______________ triangle.
2. A triangle which has all angles equal to 60 degrees is a/an ________________ triangle.
3. A triangle which has no sides of equal length is a/an ________________ triangle.
4. The sum of the two smaller angles in a right triangle is ________________ degrees.
5. A triangle which has one angle which is 90 degrees is a/an ________________ triangle.
6. A triangle in which all three sides are congruent is a/an _______________ triangle.
7. A triangle in which all angles are less than 90 degrees is a/an _______________ triangle.
8 A triangle in which exactly one angle is over 90 degrees is a/an _______________ triangle.
9. The angles of a triangle add up to _______________ degrees.
Determine whether the following numbers can be the lengths of the sides of a triangle—circle yes or no.
10. 15, 29, 29
Yes / No
11. 15, 47, 62
Yes / No
Determine the range of the possible values of the third side of a triangle, x, given the following two sides
12. 14 and 36
_____< x < _____
13. 70 and 41 _____< x < _____
For problem #14, use figure at right.
14. If m1 = x + 31˚, m2 = 58˚ and m3 = 2x, then x = _____.
#15
For problems #15 to #18, use figure at right.
15.
16.
17.
18.
If m1 = 45 , m2 = 80, then m 3= _____.
If m1 = x , m2 = 2x - 13, and m3 = x + 8, then m 3= _____.
If m1 = x+15 , m3 = 65, m 5=2x+45 _____ then x =_______.
If m1 = 50 , m6 = 140,
then m2 ____, m3 ____, m4 ____, m5 ____, m 6= _____.
4
Find x.
19. x = _________
136°
20. x = _________
21. x = _________
x
x°
57°
22.
23.
m  1 = 2x + 30
(4x-10) °
45°
m  2 = 4x - 26
1
2
____24. For ∆ABC, if AB = 8 inches , BC = 7 inches and AC = 2 inches, then the best description
of this triangle is _______?
____25. For ∆ABC, if mA = 61˚ , mB = 71˚ , then mC = _____?
____26. For ∆ABC, if mA = 55˚ , mB = 75˚ , then how would you classify this triangle _______________________?
____27. True or false: A triangle can be both right and isosceles.
____28. For ∆ABC, _____ is opposite AC ?
____29. Find all possible lengths of the third side of a triangle if other two sides are 21 cm and 3 cm:
A 8
B 15
C 23
D 24
Put the length of the sides in order from least to greatest.
D
_____30.
E
65
A
_____ 31.
6x−7
73
3x−1
2x+1
B
F
C
Put the angles in order of their measures from greatest to least.
_____32.
_____ 33. The perimeter is 48.
A
B
A
18
14
16
x+2
C
B
Classify the following triangles. ONE OF EACH
by sides…S= scalene, I= isosceles, EL= equilateral
16
C
2x
by angles…A= acute, O=obtuse, R=right, EA= equiangular
34. given angles : 80, 80, 20
35. given angles : 100, 20, 60
36. given sides: 3cm, 5cm, 7cm
37. given sides: 24ft, 16ft, 20ft
The coordinates are A(5, -2); B(-3, 4); and C (1, 0). Use the distance formula to find the lengths of AB, AC, and BC
(always simplify radicals). Then classify the triangle. Show all work.
38. AB=
39. AC=
41. classify by sides:
classify by angles:
40. BC=
Included will be the special segments and their constructions and the construction of a 45 angle.
and