Friday, November 20, 2015

Honors Geometry; 11/20

We went over the homework together and then completed our quadrilaterals chart by talking about the unique properties of kites today.  We then went over one more parallelogram proof together before getting started on the review sheet.  Chapter 5 Test will be on Monday, Nov. 23


Assignment:  Chapter 5 Review Sheet


Chapter 5 Review Sheet Answers

Practice 20

1.  true
2.  false
3.  false
4.  true
5.  false
6.  Q
7.  RQ
8.  7.5
9.  3.7
10.  trapezoid
11.  6
12.  x = 3 and DF = 18
13.  angle GFE = 92 and angle DEF = 88
14.  rectangle
15.  angle WXY is congruent to angle WZY
16.  WX is parallel to ZY or WZ is congruent to XY
17.  WX is parallel to ZY or WZ is congruent to XY
18.  ZP is congruent to PX
19.  Drawing the quadilateral and drawing in an auxiliary line between ZX to form two triangles is necessary to fully understand the proof.

                 Statements                                                               Reasons
angle XWZ congruent to angle XYZ                               given
WX parallel to ZY                                                            given
angle WXZ congruent to angle XZY                               if lines parallel, AIA congruent
ZX congruent to ZX                                                         reflexive
triangle XWZ congruent to triangle ZYX                        AAS
WX congruent ZY                                                            CPCTC
WXYZ is parallelogram                                                   If one pair of opp. sides are both
                                                                                        congruent and parallel, then quad,
                                                                                        is parallelogram

Quadrilaterals Sheet

1.  angle ABC = 92;  angle DAB = 88
2.  BE = 10
3.  x = 2
4.  x = 3
5.  AE = 13.4
6.  angle AED = 90
7.  angle HEF congruent to angle HGF
8.  EF parallel to HG  or  EH congruent to FG
9.  EF parallel to HG   or  EH congruent to FG
10.  I is also midpoint of HG
11.  angle A;  DE = 13
12.  BE = 24
13.  trapezoid
14.  median
15.  isosceles trapezoid
16.  PA = 18
17.  angle A = 80;  angle TMN = 80
18.  rectangle
19.  rhombus
20.  isosceles trapezoid

Test 20 sheet

1.  triangle YWX
2.  angle XYZ
3.  110
4.  a.  30      b.  64
5.  a.  12       b.  6
6.  4
7.  rectangle
8.  rhombus
9.  parallelogram
10.  rectangle
11.  rhombus
12.  square
13.  sometimes
14.  sometimes
15.  never
16.  sometimes
17.  median
18.  a.  115      b.  65
19.  7

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