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G.7 & G.8 End of Year Quiz

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

To prove that  ΔFCD  ΔTWP\Delta FCD\ \sim\ \Delta TWP  , what must be the value of side x? 

(a)  

2.

Which additional piece of information would prove that  ΔIJK  ΔLMN\Delta IJK\ \sim\ \Delta LMN  ?

a)

LM = 18

b)

NM = 15

c)

LM = 10

d)

NM = 18

3.

Given  ΔRSW  ΔTUW\Delta RSW\ \sim\ \Delta TUW  . Which proportion is true?

a)

 RSTU = WSWU\frac{RS}{TU}\ =\ \frac{WS}{WU}  

b)

 RSTU = SWTW\frac{RS}{TU}\ =\ \frac{SW}{TW}  

c)

 RWUW = SWUW\frac{RW}{UW}\ =\ \frac{SW}{UW}  

d)

 SWUW = RSTW\frac{SW}{UW}\ =\ \frac{RS}{TW}  

4.

If triangle XYZ is similar to triangle XLM, then --

a)

XL : LY = XZ : MZ

b)

XM : XZ = XL : XY

c)

XL : LM = YZ : XZ

d)

XM : XZ = XY : XL

5.

Given the following measures of the side of triangles, which is a right triangle?

a)

45 ft, 40 ft, 35 ft

b)

52 in, 50 in, 11 in

c)

41 cm, 40 cm, 9 cm

d)

45 yd, 35 yd, 25 yd

6.

A right triangle is shown. Which angle measure is closest to the value of x?

a)

43.9°43.9\degree

b)

44.3°44.3\degree

c)

45.7°45.7\degree

d)

46.2°46.2\degree

7.

Reuben attached wire between two poles on a hill as shown. Which is the closest to x, the distance between the two poles?

(a)  

8.

For the triangle represented by the above drawing, what is the length of  XZ\overline{XZ}  ?

a)

 7.527.5\sqrt{2}  

b)

 15315\sqrt{3}  

c)

 7.537.5\sqrt{3}  

d)

 15215\sqrt{2}  

9.

A fire truck has a ladder that can extend to 60 feet in length. The ladder can be safely raised to a maximum angle of  75°75\degree   with the horizontal.  Disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach?

a)

62.12 ft

b)

60.00 ft

c)

57.96 ft

d)

15.53 ft

10.

A drawing of Mark's kite is shown below. What is the length of the short section of the outer frame indicated by x in the drawing?

a)

16 in

b)

15 in

c)

14 in

d)

13 in