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Summative Test

Total questions: 23

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

 If m∠1=100°, m∠3=80°, m∠4=30°. Find m∠2.If\ m\angle1=100\degree,\ m\angle3=80\degree,\ m\angle4=30\degree.\ Find\ m\angle2.  

Hint: Circle 360


(a)  

2.

 If m∠KQM=100, what is the measure of arc KM?If\ m\angle KQM=100,\ what\ is\ the\ measure\ of\ arc\ KM?  

Hint: central angle is equal to its intercepted arc, sum of the angles of a circle is 360



(a)  

3.

 If m∠KQM=100, what is the measure of arc KNM?If\ m\angle KQM=100,\ what\ is\ the\ measure\ of\ arc\ KNM?  

Hint: central angle is equal to its intercepted arc, sum of the angles of a circle is 360



(a)  

4.

If the measure of arc FE is 20 and arc FB is 120, what is the measure of arc EFB?

Hint: central angle is equal to its intercepted arc, sum of the angles of a circle is 360



(a)  

5.


 Given: BD‾ = 3, KM‾ = 6, KP‾ = 27Given:\ \overline{BD}\ =\ 3,\ \overline{KM}\ =\ 6,\ \overline{KP}\ =\ 2\sqrt{7}  

 What is AK‾ ?What\ is\ \overline{AK}\ ?  Give the answer in decimal form (round off to two decimal places)



(a)  

6.


 Given: BD‾ = 3, KM‾ = 6, KP‾ = 27Given:\ \overline{BD}\ =\ 3,\ \overline{KM}\ =\ 6,\ \overline{KP}\ =\ 2\sqrt{7}  

 What is AM‾ ?What\ is\ \overline{AM}\ ?  


Hint: radius



(a)  

7.


 Given: BD‾ = 3, KM‾ = 6, KP‾ = 27Given:\ \overline{BD}\ =\ 3,\ \overline{KM}\ =\ 6,\ \overline{KP}\ =\ 2\sqrt{7}  

 What is MD‾ ?What\ is\ \overline{MD}\ ?  


Hint: MB is a radius



(a)  

8.


 Given: BD‾ = 3, KM‾ = 6, KP‾ = 27Given:\ \overline{BD}\ =\ 3,\ \overline{KM}\ =\ 6,\ \overline{KP}\ =\ 2\sqrt{7}  

 If the measure of arc LP is 60, what is the measure of arc AL?If\ the\ measure\ of\ arc\ LP\ is\ 60,\ what\ is\ the\ measure\ of\ arc\ AL? 

Hint: MB is a radius



(a)  

9.


 Given: BD‾ = 3, KM‾ = 6, KP‾ = 27Given:\ \overline{BD}\ =\ 3,\ \overline{KM}\ =\ 6,\ \overline{KP}\ =\ 2\sqrt{7}  

 If CD‾ = 10, what is CS‾ ?If\ \overline{CD}\ =\ 10,\ what\ is\ \overline{CS}\ ? 

Hint: MB is a radius



(a)  

10.

 If the measure of arc KM is 138, what is m∠KLM?If\ the\ measure\ of\ arc\ KM\ is\ 138,\ what\ is\ m\angle KLM?  
Hint: inscribed angle

(a)  

11.

 If m∠SCE = 42, what is the measure of arc EN?If\ m\angle SCE\ =\ 42,\ what\ is\ the\ measure\ of\ arc\ EN? 



(a)  

12.

 If m∠IWD = 106, what is m∠IND?If\ m\angle IWD\ =\ 106,\ what\ is\ m\angle IND? 
Hint: opposite angles are supplementary



(a)  

13.

 If ME‾ =18 and LE‾ = x +10, find x.If\ \overline{ME}\ =18\ and\ \overline{LE}\ =\ x\ +10,\ find\ x. 
Hint: congruent tangent segments



(a)  

14.

 If the measure of major arc TQR is 148 and arc TR is 36, what is m∠RST?If\ the\ measure\ of\ major\ arc\ TQR\ is\ 148\ and\ arc\ TR\ is\ 36,\ what\ is\ m\angle RST? 
Formula:  m∠RST = 12 (TQR − TR)m\angle RST\ =\ \frac{1}{2}\ \left(TQR\ -\ TR\right)  



(a)  

15.

 If m∠KLM = 32 and mKPN = 144, find arc KM.If\ m\angle KLM\ =\ 32\ and\ mKPN\ =\ 144,\ find\ arc\ KM. 
Formula:  m∠KLM = 12 (KPN − KM)m\angle KLM\ =\ \frac{1}{2}\ \left(KPN\ -\ KM\right)  



(a)  

16.

 If mBD = 32 and m∠BCD = 14, find measure of arc AE.If\ mBD\ =\ 32\ and\ m\angle BCD\ =\ 14,\ find\ measure\ of\ arc\ AE. 
Formula:  m∠BCD = 12 (AE − BD)m\angle BCD\ =\ \frac{1}{2}\ \left(AE\ -\ BD\right)  



(a)  

17.

 If mSR = 68 and mPQ=102, find m∠STR.If\ mSR\ =\ 68\ and\ mPQ=102,\ find\ m\angle STR. 
Formula:  m∠STR = 12 (SR + PQ)m\angle STR\ =\ \frac{1}{2}\ \left(SR\ +\ PQ\right)  



(a)  

18.

 If mSR = 68 and mPQ=102, find m∠STP.If\ mSR\ =\ 68\ and\ mPQ=102,\ find\ m\angle STP. 
Hint: RSP is a semicircle or line RP is a straight angle.



(a)  

19.

 If m∠PML = 125, find mPKM.If\ m\angle PML\ =\ 125,\ find\ mPKM. 
Formula:  m∠PML = 12(arc PKM)m\angle PML\ =\ \frac{1}{2}\left(arc\ PKM\right)  



(a)  

20.

 If m∠PML = 125, find m∠PMNIf\ m\angle PML\ =\ 125,\ find\ m\angle PMN 
Hint: line ML is a straight angle



(a)  

21.

Solve for x.


Formula: GE.EI = DE.EU



(a)  

22.

Solve for x.


Formula: JA.EA = SA.NA



(a)  

23.

Solve for x.


Formula:  (EV)2=LV.OV\left(EV\right)^2=LV.OV  



(a)