Geometry Assignment

  

True or False:

 (1) if, then.

(2) If, then.

(3) If and, 

(4) If and, then

Complete each statement with,, or

(5)

 (6)

 (7)

Use the following statement for #8 – 13:

If it is tallest, then the next one is purple. 

(8) Write the inverse of the statement.

(9) Write the contrapositive of the original statement. 

(10) Draw a venn diagram representing the original statement

Use “” for “it is purple”, and “” for “the next one is tallest”. 

What conclusions can be reached from each of the following statements? If no conclusion is possible, say so.

(11) It is the tallest. Conclusion: 

(12) It is the tallest. Conclusion: 

(13) It is the tallest. Conclusion: 

(14) A conditional statement is always equivalent to its contrapositive. 

, , (15) Name the largest angle of the triangle.  

  (16) Name the smallest side of the triangle.  

Name the longest and shortest sides of the triangle.  

 ,  (17) Shortest Side

  , (18) Longest Side

Possible () or Not Possible ()

 (19) A triangle with sides 4, 6, and 12

 (20) A triangle with sides 4, 5, and 8

 (21)  A triangle with sides 8, 2, and 6.

(22) Two sides of a triangle have measures of 6 and 8. The third sides measure must be greater than and less than.

Complete each statement by writing,, or.

(23) If and, then.

 (24) If and, then.

(25) If and, then.

BONUS

Suppose you wanted to write an indirect proof of the following statement. How would you start? 

If , then .

“Suppose ”