Geometry Practice Test 8

(1) Euclid proved that every right angle is ______________.

     (a)     congruent to a right angle.       (b)  congruent to itself.   (c) none of the above      
     

(2) Euclid assumed the SAS congruence criteria as a postulate.

   (a)      True        (b)  False    
   

(3) One of the congruence criteria SAS, SSS, ASA, or SAA must be assumed as an axiom to prove the others.

     (a)      True        (b)  False    
     

(4) If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are ____________.    
     (a)      perpendicular     (b) parallel      (c) none of the above
    

(5) If is less than all three angles of   and if is an exterior angle of then ___________.

     (a)     (b)       (c)       (d) none of the above    
     

(6) If and then which is true:

     (a)     (b)       (c)       (d) none of the above
     

(7) There exists four non-collinear points.

     (a)      True        (b)  False        (c)  Not provable
     

(8) Prove that if all three angles of are congruent to one another, then all three sides of are congruent to each other.

(9) Prove that if and then Justify the following 5 steps.
    (i) There exists a point such that and
    (ii) There exists a point such that and
    (iii) There exists a unique point such that and
    (iv) It follows
    (v) Therefore,

(10) For every line and every point not on there exists exactly on line such that lies on and

(11)  The base of an isosceles triangle has a midpoint.
     

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Cite this as:
Geometry Practice Test 8
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/geometry-practice-test-8.html