Download Geometry CBA #1 Review Answers 1. Sample answers: GH,IG,HI

Geometry
CBA #1 Review Answers
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18.
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27.
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37.
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9. 122 – a
Sample answers: 𝐺𝐻, 𝐼𝐺, 𝐻𝐼, 𝐻𝐺
10. acute, obtuse
G, H and I (only answer)
11. obtuse
𝐻𝐼 and 𝐻𝐺 (only answer)
12. ∠𝐵𝐶𝐴 𝑎𝑛𝑑 ∠𝐷𝐶𝐹
any three points, but not only G, H,
13. ∠𝐴𝐶𝐵 𝑎𝑛𝑑 ∠𝐵𝐶𝐷 (sample answer)
and I
14. ∠𝐵𝐶𝐷 𝑜𝑟 ∠𝐷𝐶𝐹 (sample answer)
Sample answers: 𝑋𝑌, 𝑌𝑍, 𝑋𝑍
15. ∠𝐶𝐹𝐷 𝑜𝑟 ∠𝐷𝐹𝐸 (sample answer)
plane WXY, plane WXT, etc.
16. Ben will have a healthy heart
non-coplanar
17. If fleas fret, then cats purr
∠𝑊𝑋𝑌 𝑜𝑟 ∠𝑌𝑋𝑊 (not ∠𝑊)
If the lawn mower is working, then you have a chance to win the “Best Lawn in the
Neighborhood” award.
19.
Then it is time to fill up the gas tank.
16
21. 56
22. (6, 3/2)
23. 12.6 units
P = 21.2 un, A = 28un2
26. C = 25.1cm, A= 50.3cm2
P = 15in, A = 13.5in2
Did not find the difference of the x’s and the differences of the y’s. Instead found the
differences of each coordinate point values. 𝐷 = 90
!
B
31. C
35. C
33. !"#
A
32. B
36. C
34. C
C
Transitive Property of Congruence
40. Symmetric Property of Congruence
Distributive Property
41. 1. D, 2. C, 3. C or E, 4. A, 5. B
Reflexive Property of Congruence
A quadrilateral is a square if and only if it has four congruent sides and four congruent angles.
A quadrilateral is an isosceles trapezoid if and only if it has two opposite congruent sides.
1. Given, 2. Substitution Property of Equality, 3. Subtraction Property of Equality, 4.
Division Property of Equality, 5. Given, 6. Substitution Property of Equality, 7. Simplify
A
46. C
47. B
Vertical Angles are Congruent
Angles that form a linear pair are supplementary
50. A = 484π m2
Statements (justifications): 1. A is the midpoint of 𝑍𝑃 (Given), 2. ZA = AP (Definition of
Midpoint), 3. XY = ZA (Given), 4. XY = AP (Transitive Property of Equality)
Statements (justifications) 1. 𝐴𝐵 𝑖𝑠 𝑡ℎ𝑒 𝑏𝑖𝑠𝑒𝑐𝑡𝑜𝑟 𝑜𝑓 ∠𝐶𝐴𝐷 (Given), 2. ∠𝐶𝐴𝐵 ≅ ∠𝐵𝐴𝐷
(Definition of Angle Bisector), 3. 𝑚∠𝐶𝐴𝐵 = 𝑚∠𝐵𝐴𝐷 (Congruent angles have equal
measures), 4. 7𝑥 + 2 = 5(𝑥 + 4) (Substitution property of equality), 5. 7𝑥 + 2 = 5𝑥 + 20
(Distributive property), 6. 2x + 2 = 20 (Subtraction property of equality), 7. 2x = 18
(Subtraction property of equality), 8. x = 9 (Division property of equality).
Statements (justifications): 1. ∠𝐴 ≅ ∠𝐵𝐷𝐴 (Given), 2. ∠𝐵𝐷𝐴 ≅ ∠𝐶𝐷𝐸 (vertical angles are
congruent), 3. ∠𝐴 ≅ ∠𝐶𝐷𝐸 (Transitive Property of Congruence), 4. 𝑚∠𝐴 = 𝑚∠𝐶𝐷𝐸
(Congruent angles have equal measures), 5. 11x + 20 = 12x + 15 (Substitution Property of
Equality), 6. 20 = x + 15 (Subtraction Property of Equality), 7. 5 = x (Subtraction Property
of Equality), x = 5 (Symmetric Property of Equality)
Statements (justifications): 1. 1. ∠5 ≅ ∠2 (Given), 2. ∠2 ≅ ∠4 (vertical angles are
congruent), 3. ∠4 ≅ ∠5 (Transitive property of congruence), 4. ∠5 ≅ ∠8 (vertical angles
are congruent), 5. ∠4 ≅ ∠8 (Transitive property of congruence).