We continued our review today by answering questions from the first review sheet to begin the period. We then went over 2-3 more proofs together from the proof packet before the students got started working on their 2nd review sheet. The answers to that review sheet appear below.
Assignment: Chapter 4 review sheet #2
Chapter 4 Test tomorrow
1. triangle RPD
2. angle Q; angle R
3. segment DE congruent to segment GH
segment EF congruent to segment HK
segment DF congruent to segment GK
4. a. vertical angles congruent b. SAS c. CPCTC
5. a. yes, ASA b. no
6. 3
7. equiangular; equilateral
8. median
9. obtuse
10. 15
11. if a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.
12. a. angle ADB, angle CDB
b. if a point is equidistant from the sides of an angle, then the point lies on the angle bisector of the angle.
13. proof
Reasons Statements
RT is perp. to plane P given
angle KTR and angle ZTR rt. angles def. of perp.
RK cong. RZ given
RT cong. RT reflexive
triangle RKT cong. triangle RZT HL
KT cong. ZT CPCTC
triangle KTZ is isosceles def. of isosceles triangle
14. proof
Reasons Statements
YW is altitude of triangle XYZ given
angle 1 and angle 2 are rt. angles def. of altitude
angle 1 cong. angle 2 all rt. angles cong.
angle X cong. angle Z given
YW cong. YW reflexive
triangle YXW cong. triangle YZW AAS
XW cong. ZW CPCTC
W is midpoint of XZ def. of midpoint
YW is a median of triangle XYZ def. of median
15. proof
Reasons Statements
PO is perpendicular bisect. of QR Given
PQ is congruent to PR If pt. lies on perp. bisector of segment,
then pt. is equidistant from the endpoints
of the segment.
angle Q congruent angle R if opp. sides are congruent, then
base angles are congruent
angle R congruent to angle 1 vertical angles congruent
angle Q congruent to angle 1 transitive property
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