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[MATH 4] Week 6

Total questions: 15

Worksheet time: 28mins

Name
Class
Date
1.

Does the triple 7, 2, 117,\ 2,\ 11   form a triangle?

a)

Yes

b)

No

2.

Does the triple 13, 5, 1113,\ 5,\ 11   form a triangle?

a)

Yes

b)

No

3.

Given the three side lengths of a triangle which are 9, x, 59,\ x,\ 5 ,  what are the possible values of xx

a)

4<x<14-4<x<14  

b)

4<x<144<x<14  

c)

14<x<4-14<x<4  

d)

14<x<4-14<x<-4  

4.

Given the three side lengths of a triangle which are x, 10, 8x,\ 10,\ 8 ,  what are the possible values of xx

a)

10<x<8-10<x<8  

b)

18<x<8-18<x<8  

c)

2<x<182<x<18  

d)

2<x<102<x<10  

5.

In ΔABC\Delta ABC , AB=2x+1\overline{AB}=2x+1 , BC=3x\overline{BC}=3-x , and CA=5\overline{CA}=5 . What are the possible values of xx ?

a)

1<x<1-1<x<1  

b)

1<x<71<x<7  

c)

1<x<731<x<\frac{7}{3}  

d)

52<x<3\frac{5}{2}<x<3  

6.

Which of the following CANNOT be the measures of the sides of a triangle?

a)

2 in, 3 cm, 6 cm2\ in,\ 3\ cm,\ 6\ cm  

b)

3 m, 6 ft, 7 m3\ m,\ 6\ ft,\ 7\ m  

c)

10 ft, 15 ft, 5 m10\ ft,\ 15\ ft,\ 5\ m

d)

9 in, 7 in, 6 cm9\ in,\ 7\ in,\ 6\ cm  

7.

Given ΔABC\Delta ABC , what is the largest angle?

(a)  

8.

What are the remote interior angles of the exterior angle C\angle C  ?

a)

A\angle A  

b)

B\angle B  

c)

D\angle D  

d)

E\angle E  

e)

F\angle F  

9.

What is the measure of ACB\angle ACB ?

(a)  

10.

Find the value of xx .

a)

92.7592.75  

b)

104.75°104.75\degree  

c)

55°55\degree  

d)

32.25°32.25\degree  

11.

Find the value of zz .

a)

92.7592.75  

b)

104.75°104.75\degree  

c)

55°55\degree  

d)

32.25°32.25\degree  

12.

The exterior angle of a triangle is 120°120\degree . Find the value of xx if the remote interior angles are (4x+40)°\left(4x+40\right)\degree and 60°60\degree .

a)

5°5\degree  

b)

20°20\degree  

c)

60°60\degree  

d)

120°120\degree  

13.

The ratio of the measures of the three interior angles of a triangle is 5 : 9 : 115\ :\ 9\ :\ 11 . What is the measure of the largest angle?

a)

36°36\degree  

b)

7.2°7.2\degree  

c)

79.279.2  

d)

64.8°64.8\degree  

14.

What is the measure of A\angle A ?

a)

40°40\degree  

b)

90°90\degree  

c)

130°130\degree  

d)

50°50\degree  

15.

m12=m10+m\angle12=m\angle10+  

a)

m9m\angle9  

b)

m11m\angle11  

c)

m8m\angle8  

d)

m3m\angle3