Wednesday, December 7, 2016

Geometry; 12/7

We wrapped up our study of quadrilaterals today by going over the homework on trapezoids and answering any questions that the students had.  We then worked two other problems together using isosceles trapezoids.  One involved a calculation and one involved a proof.  These two review problems both will be helpful on tomorrow's test.  The rest of the period was spent working on the chapter 5 review sheet.

Assignment:  Chapter 5 review sheet

Review Sheet Answers

Trapezoids

1.  16
2.  17
3.  4
4.  8
5.  2
6.  78
7.  63, 117
8.  72, 108
9.  13
10.  15
11.  65, 115, 115
12.  angle B, angle CFE, angle DEF
13.  10, 15
14.  6, 8
15.  12
16.  24, 12
17.  2x, x = 1.2

Practice 20

1.  true
2.  false
3.  false
4.  true
5.  false
6.  angle Q
7.  RQ
8.  7.5
9.  3.7
10.  trapezoid
11.  6
12.  x = 3;  DF = 18
13.  angle GFE = 92;  angle DEF = 88
14.  rectangle
15.  angle WXY congruent to angle WZY
16.  WX parallel to ZY or WZ congruent to XY
17.  WX parallel to ZY or WZ congruent to XY
18.  ZP congruent to PX
19.  proof
                statements                                             reasons
   angle XWZ congruent to angle XYZ               given
  WX parallel to ZY                                             given
  angle WXZ congruent to angle XZY                if parallel lines, AIA congruent
  ZX congruent to ZX                                          reflexive
  triangle XWZ congruent to tri. ZYX                AAS
  WX congruent to ZY                                        CPCTC
  WXYZ is parallelogram                                   if one pair of opp. sides is
                                                                           congruent and parallel then
                                                                           parallel.

Quadrilaterals

1.  92,  88
2.  10
3.  x = 2
4.  x = 3
5.  AE = 13.4
6.  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 midpoint of HF
11.  angle A ;  DE = 13
12.  BC = 24
13.  trapezoid
14.  median / midsegment
15.  isosceles trapezoid
16.  18
17.  80, 80
18.  rectangle
19.  rhombus
20.  isosceles trapezoid


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