Thursday, December 1, 2016

Honors Geometry; 12/1

We continued our work with trapezoids today by going over how to work with isosceles trapezoids.  These have congruent legs, base angles, and diagonals.  We went through these properties and showed how they would be applied in a couple of different proof problems.  The students then got to work on their chapter 5 review sheet in class.


Assignment:  Chapter 5 review sheet

Chapter 5 Test tomorrow

Review Sheet Answers

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

Test 20;  Chapter 5

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 ; midsegment
18.  a.  115;  b.  65
19.  7

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