Chapter 6 Test Review with Key
Chapter 6 Test Review with Key
Chapter 6 Test Review with Key
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Geometry B<br />
<strong>Chapter</strong> 6 <strong>Test</strong> <strong>Review</strong><br />
1. Which figure below is NOT a polygon?<br />
[A] [B] [C] [D]<br />
2. Sketch a five-sided polygon that is convex.<br />
3. Name the regular polygon.<br />
4. Name a polygon <strong>with</strong> 5 sides.<br />
[A] triangle [B] quadrilateral [C] pentagon [D] hexagon<br />
[2]<br />
[3]<br />
[1]<br />
[4]
5. Find the measure of the missing angle.<br />
61° 66°<br />
? 114°<br />
6. Find the value of x.<br />
102°<br />
63° 72°<br />
x<br />
[5]<br />
[6]<br />
7. Complete the statement for parallelogram BCDE. Then state a definition or theorem as the<br />
reason.<br />
BC || _____<br />
E<br />
O<br />
B C<br />
D<br />
[7]
8. Find AM in the parallelogram if PN = 9 and AO = 5.<br />
M N<br />
P<br />
A<br />
O<br />
[8]<br />
9. Given: ACDF is a parallelogram and FB || EC<br />
Prove: BCEF is a parallelogram<br />
F<br />
A B C<br />
E<br />
D<br />
[9]
10. Given: ABCD is a rhombus<br />
Prove: ∆BCA ≅ ∆DAC<br />
D<br />
A B<br />
C<br />
11. Isosceles trapezoid ABCD has legs AB and CD , and base BC. If AB = 6y − 5,<br />
BC = 10y − 4, and CD = 4y + 7. Find the value of y.<br />
12. Given: Trapezoid ABCD <strong>with</strong> midsegment EF . If EF = 23 and DC = 29 , find the<br />
length of AB .<br />
A B<br />
E F<br />
D C<br />
[10]<br />
[11]<br />
[12]
13. Find m∠ T in the diagram, if m∠ R = 150 ° and m∠ S = 50 ° .<br />
R<br />
S<br />
U<br />
T<br />
14. Describe the figure using as many of these words as possible: rectangle, trapezoid, square,<br />
quadrilateral, parallelogram, rhombus.<br />
[13]<br />
[14]<br />
15. Identify the quadrilateral which has all sides congruent.<br />
[15]
16. Find the area:<br />
2.5 cm<br />
[16]<br />
7 cm<br />
17. Find the area of a rectangle that measures 4 yd by 22 yd.<br />
[17]<br />
18. Find the area of a square <strong>with</strong> side length 14 m.<br />
19. Find the area (not drawn to scale):<br />
20. Find the area:<br />
7 cm<br />
2.2 cm<br />
10 in.<br />
16 in.<br />
34 in.<br />
6.2 cm<br />
13 in.<br />
[18]<br />
[19]<br />
[20]
Geometry B<br />
<strong>Chapter</strong> 6 <strong>Test</strong> <strong>Review</strong><br />
Reference: [6.1.1.2]<br />
[1] [C]<br />
Reference: [6.1.1.9]<br />
Sketches vary.<br />
[2]<br />
Reference: [6.1.1.13]<br />
[3] decagon<br />
Reference: [6.1.1.15]<br />
[4] [C]<br />
Reference: [6.1.2.20]<br />
[5] 119°<br />
Reference: [6.1.2.21]<br />
[6] 123°<br />
Reference: [6.2.1.23]<br />
[7] ED , definition of a parallelogram<br />
Reference: [6.2.1.25]<br />
[8] 5
Reference: [6.3.1.38]<br />
[9]<br />
1. ACDF is a parallelogram 1.<br />
Given<br />
2.<br />
FE || CB<br />
2.<br />
Definition of a parallelogram<br />
3. FB || EC<br />
3. Given<br />
4.<br />
BCEF<br />
Reference: [6.4.1.47]<br />
[10]<br />
1.<br />
2.<br />
is a parallelogram 4. Definition of a parallelogram<br />
ABCD is a rhombus 1. Given<br />
ABCD is a a parallelogram 2. Definition of a rhombus<br />
3. AB ≅ CD; BC ≅ AD 3.<br />
Opposite sides of a Parallelogram are Congruent<br />
4.<br />
AC ≅ AC<br />
5.<br />
∆BCA ≅ ∆DAC<br />
Reference: [6.5.1.54]<br />
[11] 6<br />
Reference: [6.5.1.58]<br />
[12] 17<br />
Reference: [6.5.2.66]<br />
[13] 110°<br />
Reference: [6.6.1.67]<br />
[14] quadrilateral, parallelogram<br />
Reference: [6.6.1.69]<br />
[15] rhombus<br />
Reference: [6.7.1.77]<br />
[16] 17.5 cm 2<br />
4. Reflexive Property<br />
5. SSS Congruence Postulate
Reference: [6.7.1.78]<br />
[17] 88 yd 2<br />
Reference: [6.7.1.79]<br />
[18] 196 m 2<br />
Reference: [6.7.1.81]<br />
[19] 6.82 cm 2<br />
Reference: [6.7.2.98]<br />
[20] 250 in. 2
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