Download Statements Reasons

Honors Geometry
Section 4.5-4.6 Review WS
Name___________________________
Period_______
1. Complete the proof by supplying the statements or reasons
Statements
2. Write a two-column proof
Reasons
1. AB ≅ AD, BC ≅ CD
1. Given
2. AC ≅ AC
2. _________________________
3. ___________________
3. SSS Congruence Postulate
4. ∠DAC ≅ ∠BCA
4. _________________________
5. AD
5. ________________________
BC
Statements
Reasons
1. ∠M ≅ ∠N
1. Given
2. ∠OKL ≅ ∠OLK
2. Given
3. ___________________
3. ___________________
4. ___________________
4. ___________________
5. ___________________
5. ___________________
6. ___________________
6. ___________________
7. ___________________
7. ___________________
8. ___________________
8. ___________________
3. Suppose you are given points W , X , Y , and Z , such that ∠YXZ ≅ ∠YZX , W is between X and Z , and
YW ⊥ XZ . Sketch this situation and write a proof to show that XY = YZ
Statements
Reasons
1. ∠YXZ ≅ ∠YZX
1. Given
2. YW ⊥ XZ
2. Given
XY = YZ
_______________________
4. Assume a segment is drawn from A to C . Classify the triangles ABC and ACD .
5. Aristarchus found m∠ABD to be 87 . Find the measure of each angle.
a) ∠BAC
b) ∠BCA
c) ∠CAD
d) ∠ACD
Decide whether enough information is given to prove that the triangles are congruent. If there is enough information,
state the congruence postulate you would use.
6.
7.
8.
Enough info?_____
Enough info?_____
Enough info?_____
If yes, congruence postulate______ If yes, congruence postulate______ If yes, congruence postulate______
Solve for x and y
9.
10.