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Transcript
```Geometry
Chapter 4 Test Review
Name:_________________________________
Classify the triangles by its angles (acute, obtuse, right, equiangular) and sides (scalene,
isosceles, equilateral) .
1.
2.
sides:
sides:
angles:
angles:
Find the measure of ∠1.
3.
4.
m ∠1 : ______
m ∠1 : ______
5.
6.
m ∠1 : ______
m ∠1 : ______
Find the value of x.
7.
8.
Equation:
Equation:
x=
x=
5.
10.
Equation:
Equation:
x=
x=
11.
12.
Equation:
x=
x=
Find the unknown side length. Round your answer to the nearest tenth, if necessary.
13.
14.
Equation:
Equation:
c=
a=
15.
16.
Equation:
Equation:
a=
c=
17. Do the side lengths 5, 6, and 7 form a Pythagorean Triple?
Find the distance between the two points. Round your answer to the nearest tenth, if
necessary. Hint: Distance= √(x2 − x1 )2 + (y2 − y1 )2
18.
19.
Classify the triangle with the given side lengths as acute, right, or obtuse.
20. 8, 10, 11
21. 2, 5, 6
22. 3, 8, √73
23. 12, 13, 17
24. 8, 15, 17
25. 4, 4.5, 7
Draw the three medians of the triangle.
26.
27.
If P is the centroid of each triangle, identify the segments that are congruent.
28.
29.
______ ≅ _______
______ ≅ _______
______ ≅ _______
______ ≅ _______
______ ≅ _______
______ ≅ _______
30. R is the centroid of ∆ABC
and AD = 9. Find AR and RD.
31. S is the centroid of ∆DEF
and EG = 36. Find ES and SG.
AR =
ES =
RD =
SG =
32. A it the centroid of ∆LMN
and AB = 5. Find MA and MB.
33. Q is the centroid of ∆CDE and
QF = 7. Find EQ and EF.
MA=
EQ =
MB =
EF =
Name the angles from largest to smallest.
34.
35.
36.
______________________________
________________________
________________________
Name the sides from longest to shortest.
37.
38.
39.
________________________
_______________________
_______________________
Name the longest segment in the figure.
40.
41.
________________
_____________
Can the side lengths form a triangle?
40. 7, 16, 8
41. 10, 6, 5
42. 8, 11.9, 20
Show work here:
Show work here:
Show work here:
yes
yes
yes
or
(circle one)
no
43. 6, 5, 3
Show work here:
yes
or
(circle one)
no
or
no
(circle one)
or
no
(circle one)
44. 14, 27, 13
45. 8, 8, 8
yes
yes
Show work here:
or
no
(circle one)
Show work here:
or
no
(circle one)
```