Geom Classwork Check: 2-1 and 2-2 Practice

What is the statement in if-then form:

Hypothesis: The two lines are perpendicular.

Conclusion: Two lines intersect at right angles.

• If the two lines are perpendicular, then the two lines do not intersect at right angles.

• If two lines are perpendicular, then the two lines intersect at right angles.

• The two lines are perpendicular if the two lines intersect at right angles.

• If two lines intersect at right angles, then the two lines are perpendicular.

Tags

CCSS.HSG.CO.C.9

Another name for an if-then statement is a ________________.

• Conclusion

• Hypothesis

• Conditional Statement

• Converse Statement

Write this statement as a conditional in if-then form:

All triangles have three sides.

• If a triangle has three sides, then all triangles have three sides.

• If a figure has three sides, then it is not a triangle.

• If a figure is a triangle, then all triangles are figures.

• If a figure is a triangle, then it has three sides.

Which statement is a counterexample for the following conditional:

If you go to Archbishop Wood High School, then you do not live in Warminster .

• Brady lives in Doylestown.

• Laila lives in Philadelphia.

• Jessica lives in Warminster.

• John lives in Newtown.

What is the converse to the following conditional statement?

If Elliana is a guitar player, then she is a musician.

• Elliana is a guitar player if she is a musician.

• If Elliana is a guitar player, then she is not a musician.

• If Elliana is a musician, then she is a guitar player.

• If Elliana is not a guitar player, then she is not a musician.

Write the statement in if-then form (i.e. as a conditional statement):

When x=6, 2x=12

• If x=6, therefore 2x=12.

• If x=6, then 2x=12.

• x=6, if and only if, x=12.

• 2x=12 if x=6.

Identify the hypothesis of the conditional statement:

If Matt goes swimming, then the weather is warm.

• Matt goes swimming

• Matt does not go swimming

• The weather is warm.

• Matt went swimming.

What is the counterexample for the following statement:

If Austin goes on vacation, then he will go to Florida.

• Austin goes to Disney World for vacation.

• Austin goes to Universal Studios for vacation.

• Austin goes to Houston for vacation.

• Austin goes to Key West for vacation.

What is the converse (q -> p) of the following statement:

If Josh has a Siberian Husky, then he has a dog.

• Josh has a Siberian Husky, so he has a dog.

• If Josh has a Siberian Husky, then he does not have a dog.

• If Josh does not have a Siberian Husky, then he does not have a dog.

• If Josh has a dog, then he has a Siberian Husky.

What is this?

p -> q

• Hypothesis

• Conditional Statement

• Converse Statement

• Conclusion