Download If / Then Worksheet

If-Then Worksheet
Name _______________________________
Geometry – After the Chapter 4 Quiz
Given the “if” statement, write the “then” statement and reason.
1. If ∠1 ≅ ∠2,
then ___________________________.
Reason: ____________________
then ___________________________.
Reason: ____________________
2. If 2AB = 10,
3. If ∠1 and ∠2 are vertical angles,
then ___________________________.
Reason: ____________________
4. If ∠1 and ∠2 are complementary,
then ___________________________.
Reason: ____________________
̅̅̅̅ is the altitude of ∆𝐴𝐵𝐶,
5. If 𝐴𝐷
then ___________________________.
Reason: ____________________
6. If 𝑚∠𝐴 = 30 and 𝑚∠𝐴 + 𝑚∠𝐵 = 90,
then ___________________________.
Reason: ____________________
7. If ∠1 and ∠2 are supplementary,
then ___________________________.
Reason: ____________________
8. If ∠4 ≅ ∠1 with ∠3 supplementary to ∠4 and ∠2 supplementary to ∠1,
then ___________________________.
Reason: ____________________
9. If ∠1 ≅ ∠2 and ∠2 ≅ ∠𝐵,
then ___________________________.
Reason: ____________________
10. If ∠𝐵𝐴𝐶 and ∠𝐶𝐴𝐷 are a linear pair,
then ___________________________.
Reason: ____________________
11. If x//y,
then ___________________________.
Reason: ____________________
1
2
̅̅̅̅ at D,
12. If ⃡𝑋𝑌 bisects 𝐶𝐵
then ___________________________.
Reason: ____________________
̅̅̅̅ ,
13. If J is the midpoint of 𝐻𝐾
then ___________________________.
Reason: ____________________
then ___________________________.
Reason: ____________________
then ___________________________.
Reason: ____________________
then ___________________________.
Reason: ____________________
̅̅̅̅̅ ,
̅̅̅̅ ⊥ 𝐴𝑀
14. If 𝐿𝑀
15. If AB = XY,
16. If 𝑚∠𝐶 = 90°,
̅̅̅̅ ,
17. If ∆𝐴𝐵𝐶 with ̅̅̅̅
𝐴𝐵 ≅ 𝐵𝐶
then ___________________________.
Reason: ____________________
then ___________________________.
Reason: ____________________
18. If m||n,
n
m
̅̅̅̅ ,
19. If ∆𝐴𝐵𝐶 is isosceles with ̅̅̅̅
𝐴𝐵 ≅ 𝐵𝐶
then ___________________________.
Reason: ____________________
20. If l is a transversal and ∠1 ≅ ∠2,
then ___________________________.
2
1
Reason: ____________________
Answers:
1. … then 𝑚∠1 = 𝑚∠2.
Def of congruence
2. … then AB = 5.
Division Property
3. … ∠1 ≅ ∠2.
VA Theorem
4. … 𝑚∠1 + 𝑚∠2 = 90.
Def of complementary
̅̅̅̅ .
5. … ̅̅̅̅
𝐴𝐷 ⊥ 𝐵𝐶
Def. of altitude
6. … 30 + 𝑚∠𝐵 = 90.
Substitution
7. … 𝑚∠1 + 𝑚∠2 = 180.
Def. of supplementary
8. … ∠3 ≅ ∠2.
Supplements of congruent angles theorem
9. … ∠1 ≅ ∠𝐵.
Transitive (substitution)
10. … ∠𝐵𝐴𝐶 & ∠𝐶𝐴𝐷 are supplementary.
LP Postulate
11. … ∠1 & ∠2 are supplementary.
CIA Theorem (or Interior Supplements)
12. … CD ≅ DB.
Def Segment Bisector
̅̅̅ ≅ ̅̅̅
13. … ̅𝐻𝐽
𝐽𝐾 .
Def of Midpoint
14. … ∠𝑀 is a right angle.
Def of Perpendicular
15. … ̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝑋𝑌.
Def of congruence
16. … ∠𝐶 is a right angle.
Def of right angle
17. … ∆𝐴𝐵𝐶 is isosceles.
Def of Isosceles Triangle
18. … ∠2 ≅ ∠3.
CA Postulate
19. … ∠𝐴 ≅ ∠𝐶.
Isosceles Triangle Theorem
20. … x||y.
Converse AIA Theorem