- Whatis the perimeterof?
- is the __of
For exercises8 and 9, rewriteeachgivenstatementas a biconditionalstatement.Thenstatewhetherit is
true. If the statementis false,drawa counterexample.
- If a quadrilateralis a square,then it is a rhombus.
- If a quadrilateralhas for right angles,then it is a rectangle.
- Give an exampleof an if-thenstatementwhoseconverseis true. Thenwritethat statementas a bicon-
ditional.
Answers
- a. b. [Diff: 1]
- a. b. [Diff 1]
- a. b. [Diff: 1]
- a. , b. [Diff: 1]
- a. , [Diff: 2]
- The perimeteris 216 in. [Diff: 2]
- Perpendicularbisector[Diff: 2]
- A quadrilateralis a squareif and only if it is a rhombus.This is FALSEbecausesomerhombiare not
squares.Quadrilateral belowis a counterexample—itis a rhombus,but not a square[Diff: 3].
- A quadrilateralhas four right anglesif and only if it is a rectangle.This is TRUEby the definitionof rect-
angle.
10.Answerswill vary, but any geometricdefinitioncan be writtenas a biconditional.