Download Congruent Triangles - Classifying and Missing Sides

Geometry - Clark
Name___________________________________
Congruent Triangles - Classifying and Missing Sides
Date________________ Period____
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Classify each triangle by its sides.
1)
2)
2.2
40° 113°
4.6
55°
27°
4.4
3.1
55°
4
70°
4
Classify each triangle by its angles.
3)
4)
3
50°
3.3
60°
6.8
45°
70°
45°
4.8
2.7
4.8
90°
Classify each triangle by its angles and sides.
5)
6)
7.3
60°
5.1
7.3
60°
3.1
35° 110°
60°
3.1
7.3
7)
35°
8)
5.1
4.1
30°
4.1
55°
2.9
90°
35°
4.2
75°
75°
2.1
Sketch an example of the type of triangle described. Mark the triangle to indicate what information is
known.
9) acute isosceles
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10) obtuse scalene
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Worksheet by Kuta Software LLC
11) right scalene
12) equilateral
Classify each triangle by its sides. Equal sides and equal angles, if any, are indicated in each diagram.
13)
14)
Classify each triangle by its angles.
15)
16)
Classify each triangle by its angles and sides. Equal sides and equal angles, if any, are indicated in each
diagram.
18)
17)
Find the value of x.
19)
20)
10
x
x
9
21)
22)
x
60°
42°
x
23)
24)
35°
x
x
43°
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Worksheet by Kuta Software LLC
25)
x + 20
8
26)
11
2x − 5
27)
28)
10
x + 19
12
2x − 4
29) m∠2 = x + 77
30) m∠2 = 5 x
2
70°
2
44°
31) m∠2 = 7 x + 11
32) m∠2 = x + 70
2
2
60°
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60°
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Worksheet by Kuta Software LLC
Geometry - Clark
Name___________________________________
Congruent Triangles - Classifying and Missing Sides
Date________________ Period____
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Classify each triangle by its sides.
1)
scalene
2.2
2)
40° 113°
55°
27°
4.4
3.1
isosceles
4.6
55°
4
70°
4
Classify each triangle by its angles.
3)
acute
3
50°
4)
45°
70°
3.3
60°
right
6.8
45°
4.8
2.7
4.8
90°
Classify each triangle by its angles and sides.
5)
6)
7.3
60°
5.1
7.3
60°
3.1
35° 110°
60°
3.1
7.3
obtuse isosceles
equilateral
7)
35°
8)
5.1
4.1
30°
4.1
55°
2.9
90°
35°
4.2
75°
right scalene
75°
2.1
acute isosceles
Sketch an example of the type of triangle described. Mark the triangle to indicate what information is
known.
9) acute isosceles
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10) obtuse scalene
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Worksheet by Kuta Software LLC
11) right scalene
12) equilateral
Classify each triangle by its sides. Equal sides and equal angles, if any, are indicated in each diagram.
13)
isosceles
14)
isosceles
Classify each triangle by its angles.
15)
obtuse
16)
acute
Classify each triangle by its angles and sides. Equal sides and equal angles, if any, are indicated in each
diagram.
obtuse scalene
17)
18)
obtuse isosceles
Find the value of x.
9
19)
10
20)
10
x
x
9
60°
21)
69°
22)
x
60°
42°
x
43°
23)
24)
110°
35°
x
x
43°
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Worksheet by Kuta Software LLC
25)
x + 20
8
8
26)
11
−12
2x − 5
27)
7
28)
10
x + 19
12
2x − 4
−7
29) m∠2 = x + 77
30) m∠2 = 5 x
11
2
70°
2
44°
−9
31) m∠2 = 7 x + 11 7
32) m∠2 = x + 70
2
−10
2
60°
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60°
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Worksheet by Kuta Software LLC