Introduction to Proof: Reasoning in Geometry

think icon Think & Click: Statements and Their Values

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Identify the values of these statements.

(a) Two congruent squares have the same side length.
 

True.
The definition of congruent is that elements are the same size.
 

(b) A prime number can be even.
 

True.
2 is the only even prime number.
 

(c) The sum of two odd integers is an even integer.
 

True.
This is a proven statement. For example 3 + 5 = 8. 3 and 5 are odd, 8 is even.
 

(d) A parallelogram has four sides.
 

True.
Parallelograms are quadrilaterals and have 4 sides.
 

(e) 12 - (43 + 11) = 12 - 43 + 11
 

False.
12 – (43 + 11) = 12 – 54 = -42
12 – 43 + 11 = -31 + 11 = -20
-42 ≠ -20