Varied Practice

 

I.  Practice with ALWAYS, SOMETIMES, and NEVER

 

Complete each statement with ALWAYS, SOMETIMES, or NEVER.

 

1.     A ray ____________________ has two endpoints.

2.     Skew lines are ________________ parallel.

3.     A line ________________ has more than two points.

4.     A transversal _________________ cuts more than two lines.

5.     Supplementary angles are  _________________ adjacent angles.

6.     Geometric figures are _________________ equal.

7.     A segment _______________________ has two endpoints.

8.     The intersection of two lines is _________________________ a point.

9.     Complementary angles are _____________________ acute angles.

10.                       Straight angles are _____________________ supplementary angles.

11.                       Vertical angles are _________________________ acute angles.

12.                       Intersecting lines are ______________________ perpendicular.

13.                       Three intersecting planes __________________ result in a point.

14.                       The protractor has two scales __________________ beginning with zero on one side.

15.                       A linear pair of angles is __________________________ considered adjacent.

16.                       Congruency ________________________ compares two or more geometric objects.

17.                       Supplementary angles are _______________________ obtuse angles.

18.                       Vertical angles are __________________________ supplementary angles.

19.                       Corresponding angles are _______________________ congruent angles.

20.                       Same-side interior angles are ____________________ congruent angles.

 

 

II.                Practice with Triangle Problems

 

All problems deal with isosceles triangles. Drawing a diagram with each problem will help visualize the conditions given.

 

  1. One base angle of ΔABC is 47º. Find the other two angles of the triangle. What is the measure of the exterior angle of ΔABC whose opposite interior angles are the base angles of the triangle?

 

 

 

 

 

 

  1. In ΔDEX, the base angles are /E and /X. If DX = 23, what other side of the triangle is 23?

 

 

 

 

 

 

  1. Is it possible to have an obtuse isosceles triangle? If so, give an example and explain your reasoning.

 

 

 

 

 

 

  1. Is it possible to have a right isosceles triangle? If so, give an example and explain your reasoning.

 

 

 

 

 

 

  1. Is it possible to have an acute isosceles triangle? If so, give an example and explain your reasoning.