Name ____________________
6b, Triangles
1. A bridge contains beams that form triangles, as shown below.
Which of the following best describes the triangle with the given measures?
A. acute scalene triangle
B. obtuse scalene triangle
C. obtuse isosceles triangle
D. acute isosceles triangle
2. A triangle has one side that measures 4 ft, one side that measures 6 ft, and one side that measures 8 ft.
What kind of triangle is it?
A. isosceles triangle
B. equilateral triangle
C. right triangle
D. scalene triangle
3. Which of the following is false?
A triangle can be drawn with more than one acute angle.
A.
B.
C.
D.
A triangle can be drawn with exactly one obtuse angle.
A triangle can be drawn with exactly one acute angle.
A triangle can be drawn with exactly one right angle.
5. A triangle has one angle that measures 57° and one angle that measures 33°.
What kind of triangle is it?
A. isosceles triangle
B. obtuse triangle
C. right triangle
D. equiangular triangle
6. How many triangles exist with the given side lengths?
7 in, 7 in, 7 in
More than one triangle exists with the given side lengths.
A.
B.
C.
Exactly one unique triangle exists with the given side lengths.
No triangle exists with the given side lengths.
7. Which of the following is true?
A triangle can be drawn with more than one acute angle.
A.
B.
C.
D.
A triangle can be drawn with more than one obtuse angle.
All of the other statements are false.
A triangle can be drawn with more than one right angle.
8. In triangle ABC, the length of side AB is 16 inches and the length of side BC is 25 inches. Which of the
following could be the length of side AC?
A. 46 inches
B. 43 inches
C. 34 inches
D. 7 inches
9. A triangle has one angle that measures 37 degrees, one angle that measures 114 degrees, and one angle that
measures 29 degrees.
What kind of triangle is it?
A. acute triangle
B. right triangle
C. equilateral triangle
D. obtuse triangle
10. Meena has a pair of blue jeans with the design below on its back pockets.
Which of the following best describes the triangle with the given measures?
A. obtuse equilateral triangle
B. acute equilateral triangle
C. obtuse isosceles triangle
D. acute isosceles triangle
11. How many triangles exist with the given side lengths?
4 m, 4 m, 7 m
Exactly one unique triangle exists with the given side lengths.
A.
B.
C.
No triangle exists with the given side lengths.
More than one triangle exists with the given side lengths.
12. A triangle has 2 angles that measure 60°.
What kind of triangle is it?
A. obtuse triangle
B. equiangular triangle
C. scalene triangle
D. right triangle
13. How many triangles exist with the given angle measures?
30°, 65°, 85°
Exactly one unique triangle exists with the given angle measures.
A.
B.
C.
More than one triangle exists with the given angle measures.
No triangle exists with the given angle measures.
14. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 19 inches. Which of the
following could be the length of side AC?
A. 5 inches
B. 36 inches
C. 20 inches
D. 33 inches
15. How many triangles exist with the given angle measures?
60°, 60°, 60°
Exactly one unique triangle exists with the given angle measures.
A.
B.
C.
More than one triangle exists with the given angle measures.
No triangle exists with the given angle measures.
16. A triangle has 2 angles that each measure 67°.
What kind of triangle is it?
A. right triangle
B. obtuse triangle
C. equiangular triangle
D. isosceles triangle
17. How many triangles exist with the given angle measures?
80°, 50°, 50°
Exactly one unique triangle exists with the given angle measures.
A.
B.
C.
More than one triangle exists with the given angle measures.
No triangle exists with the given angle measures.
18. A triangle has 3 sides that each equal 9 cm.
What kind of triangle is it?
A. right triangle
B. obtuse triangle
C. equilateral triangle
D. scalene triangle
20. In triangle ABC, the length of side AB is 13 inches and the length of side BC is 19 inches. Which of the
following could be the length of side AC?
A. 37 inches
B. 4 inches
C. 34 inches
D. 27 inches
21. How many triangles exist with the given side lengths?
3 cm, 5 cm, 9 cm
Exactly one unique triangle exists with the given side lengths.
A.
B.
C.
More than one triangle exists with the given side lengths.
No triangle exists with the given side lengths.
22. In triangle ABC, the length of side AB is 18 inches and the length of side BC is 27 inches. Which of the
following could be the length of side AC?
A. 36 inches
B. 47 inches
C. 50 inches
D. 7 inches
24. In triangle ABC, the length of side AB is 11 inches and the length of side BC is 18 inches. Which of the
following could be the length of side AC?
A. 16 inches
B. 5 inches
C. 31 inches
D. 34 inches
26. How many triangles exist with the given angle measures?
55°, 45°, 90°
More than one triangle exists with the given angle measures.
A.
B.
C.
No triangle exists with the given angle measures.
Exactly one unique triangle exists with the given angle measures.
27. A triangle has 2 sides that equal 5 inches. The other side equals 3 inches.
What kind of triangle is it?
A. equilateral triangle
B. right triangle
C. obtuse triangle
D. isosceles triangle
28. Which of the following are acute scalene triangles?
A. W and X only
B. W, X, and Z only
C. W and Z only
D. W, X, and Y only
W.
X.
Y.
Z.
29. Mariana made a quilt square with the design shown below.
Which of the following best describes the shaded triangle with the given measures?
A. right isosceles triangle
B. right scalene triangle
C. obtuse scalene triangle
D. obtuse isosceles triangle
30. A triangle has one angle that measures 64 degrees, one angle that measures 39 degrees, and one angle that
measures 77 degrees.
What kind of triangle is it?
A. equilateral triangle
B. right triangle
C. acute triangle
D. obtuse triangle