Basics of Geometry
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   High School Geometry
High School Geometry
Math

 

(pre-made sample)
Name _____________________________
Date ___________________
(Key 1 - Answer ID # 0969444)
1.  

Points P, Q, R, S, and T are collinear. If PT = 5PQ, QT = 16, and PQ = QR = RS, find ST.




2.   A triangle is the figure formed by the union of three segments determined by ___________.

   any three points 
   three rays 
   three collinear points 
   three noncollinear points 
   three angles 
   three skew points 


3.  

Use each of these terms in a sentence, but your sentence cannot be the definition of the term. Make a little sketch that illustrates the use of the term for each sentence: acute angle, obtuse angle, right angle, straight angle, reflex angle.


4.   This type of angle has a measure greater than 0 degrees and less than 90 degrees.

   obtuse angle 
   right angle 
   straight angle 
   acute angle 


5.  

Why are points, lines, and planes considered fundamental objects in geometry?


6.  

E is the midpoint of . If DE = 3x + 46 and EF = 6x + 19, then DF = ______.


7.  

Point Q is between points P and R on . If PR = 61, PQ = 8x - 473 and RQ = 2x - 76, find the value of x.


8.   What is the number of sides in a regular polygon in which the measure of an interior angle is eleven times the measure of an exterior angle?


9.  

B is in the interior of ADC. If mADC = (9x - 98), mADB = (3x - 9), and mBDC = (x + 6), find the value of x.


10.  

Two angles are complements. One is 20 degrees more than the other. Find the measures of the two angles.


11.  

Katherine said, "If you know one vertical angle, you know three other angles." What did she mean by this?


12.  

E is the midpoint of . If DE = 4x - 29 and EF = 55, find the value of x.





Basics of Geometry
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   High School Geometry
High School Geometry
Math