Geometry 2.1 Conditional Statements

Label the hypothesis and the conclusion in the following statement.

a

b

Hypothesis

Conclusion

Label the hypothesis and the conclusion in the following statement.

a

b

Conclusion

Hypothesis

Rewrite the conditional statement in if-then form.

All children must attend school.

Answer explanation

If you are a child, then you must attend school.

Rewrite the conditional statement in if-then form.

Congruent angles have equal angle measures.

Answer explanation

If angles are congruent, then they have equal angle measures.

Let p be "the sun is out" and let q be "it is daytime". Write the statement using symbols. Then decide if the statement is true or false.

If the sun is out, then it is daytime.

​ (a)   ​ (b)  

• true
• false

Let p be "the sun is out" and let q be "it is daytime". Write the statement using symbols. Then decide if the statement is true or false.

If it is daytime, then the sun is out.

​ (a)   ​ ​ (b)  

• false
• true

Let p be "the sun is out" and let q be "it is daytime". Write the statement using symbols. Then decide if the statement is true or false.

If it is not daytime, then the sun is not out.

​ (a)   ​ ​ ​ (b)  

• true
• false

Let p be "the sun is out" and let q be "it is daytime". Write the statement using symbols. Then decide if the statement is true or false.

If the sun is not out, then it is not daytime.

​ (a)   ​ (b)  

• true
• false

• Yes, complementary angles add up to 90

• Yes, adjacent angles add up to 90

• No, we don't know what the angles equal

• No, complementary angles add up to 180

• Yes, because there are on the same triangle the side lengths are congruent.

• Yes, we can look and tell the lengths are the same.

• No, the side length are not similar. There are no dashes.

• No, the side lengths are not congruent. There are no dashes.