Download 1 Geometry Name REVIEW 2.5 – 2.8 For numbers 1 – 3

Geometry
REVIEW 2.5 – 2.8
Name _____________________________________
For numbers 1 – 3, determine if the statement is always (A), sometimes (S), or never (N) true.
1. If two points lie in a plane, then the entire line containing those points lies in that plane.
2. Two lines intersect to form right angles.
3. Three noncollinear points are contained in Plane Y.
For numbers 4 – 6, find the measure of the indicated angle and name the theorems that justify your work.
4. If m∠1 = (x + 50) and m∠2 = (3x – 20), find m∠1.
m∠1 = _______________
Theorem: ____________________
5. If m∠1 is twice m∠2, find m∠1.
m∠1 = _______________
Theorem: ____________________
6. If ∠ABC ≅ ∠EFG and m∠ABC = 41, find m∠GFH.
m∠GFH = ____________
Theorem: ____________________
For numbers 7 – 12, state the definition, property, postulate, or theorem that justifies each statement.
7. If X is the midpoint of ̅̅̅̅
𝐶𝐷 , then CX = XD .
8. If ∠K ≅ ∠P and ∠P ≅ ∠T, then ∠K ≅ ∠T.
9. If m∠W + m∠H = 90 and m∠H = 20, then m∠W + 20 = 90.
10. If ∠A and ∠B are complementary and ∠A and ∠D are complementary,
then ∠B ≅ ∠D.
11. If ̅̅̅̅
𝐴𝑇 ≅ ̅̅̅̅
𝐷𝑅 then AT = DR.
12. AB + BC = AC
1
13. Complete the proof by supplying the missing information
11
If 2x – 7 = 4, then x =
2
Reason Bank:
Proof
Statements
Reasons
1.
1.
2.
2.
3.
3.
14. Given: M is the midpoint of AB
MB  BX
Prove: AM  BX
●
A
●
M
Addition Property
Congruent complements theorem
Congruent supplements theorem
Definition of complementary angles
Definition of congruent angles
Definition of congruent segments
Definition of midpoint
Definition of supplementary angles
Distributive Property
Division Property
Reflexive Property
Midpoint Theorem
Multiplication Property
Segment Addition Postulate
Substitution Property
Subtraction Property
Supplement Theorem
Symmetric Property
Transitive Property
Vertical angles are Congruent
●
B
●
X
Statements
Reasons
1. M is the midpoint of AB
1. _________________________
2. AM = MB
2. _________________________
3._________________________
3. _________________________
4. .________________________
4. Given
5. .________________________
5. _________________________
15. Given: 1  2
2  3
3  4
Prove: 1  4
3
1
2
Statements
1. 1  2
Reasons
1.
2. 2 3
2.
3. 1 3
3.
4. 3  4
4.
5. 1  4
5.
4
2