Mixed Review

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Mixed Review
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Extra Credit Points

• AD Geometry - For every question correct on the
  DA you will receive one major grade extra credit
  point!
• Pre-AP Geometry For every question you get
  correct you will receive half a major grade extra
  credit point (rounded up). If you get all 17
  correct you will get 9 points added to a major
  grade that will benefit you the most.

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G.2B - 4 Questions

• Make a conjecture about angles, lines, polygons,
  circle, and three dimentional figures and
  determine the validity of the conjectures,
  choosing from a variety of approaches such as
  coordinate, transformational, or axiomatic.

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A Conjecture

• A conclusion you reach by inductive reasoning
  (reasoning based on an observed pattern)

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TEKS G.2B Question 1

• The figure below was formed by joining 2 segments
  of equal length at a common endpoint Y.

If the points X, Y, and Z are non-collinear,
which of the following statements regarding XZ
must always be true.
A. XZ XY B. XZ 2(XY) C. XZ gt
2(XY) D. XZ lt 2(XY)
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TEKS G.2B Question 2

• Look at the diagram below. What conclusion can
  be drawnabout   YQX and WQZ

A. They are congruent B. They are
adjacentC. They are supplementaryD. No
conclusion can be drawn
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TEKS G.2B Question 3

• In the diagram, lines m and n are parallel.

2
1
m
3
4
5
6
n
8
7
A. 1 and 2 are complementaryB.
1 is congruent to 5 C. 2 and
8 are supplementaryD. 4 is congruent to
5
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TEKS G.2B Question 4
Classify the triangle formed by connecting the
following three points ( 0, 7), ( 4, 7), ( 2,
3). Justify your answer using coordinate
geometry.
A. Scalene B. Isosceles C. Equilateral  
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G.3C - 4 Questions

• Use logical reasoning to prove statements are
  true and find counter examples to disprove
  statements that are false.

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TEKS G.3C Question 1

• Which of these statements is a counter example
  for the statement The area is always greater
  than the perimeter of a rectangle

A. The area of a rectangle with dimensions 2
units by 3 units is less than the perimeter
of the same rectangle.B. The area of a
rectangle with dimensions 4 units by 6
units is greater than the perimeter of the same
rectangle.
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TEKS G.3C Question 2

• Which of the following is a counter example for
  the statement If two lines are perpendicular
  to the same line, then they are always parallel
  to each other.

I. If two lines are perpendicular to the same
line, they are skew to each other.II.
If two lines are perpendicular to the same line,
they are perpendicular to each other.A. I
onlyB. II onlyC. Both I and II
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TEKS G.3C Question 3
Reggie claimed that any number that is divisible
by 3 is also divisible by 6. Which of the
following examples disproves Reggies claim?A.
12B. 30C. 24D. 27
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TEKS G.3C Question 4
Find a counter example for the conjecture the
square of any number is greater than the original
numberA. -4B. 4C. -1D. 1
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G.7B - 4 Questions

• Use slopes and equations of lines to investigate
  geometric relationships, including parallel
  lines, perpendicular lines, and special segments
  of triangles and other polygons.

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TEKS G.7B Question 1

• RG is graphed on the coordinategrid to the
  right .

Which of the following equations best represents
the perpendicular bisect of RG ?
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TEKS G.7B Question 2

• Which equation represents a line parallel to AB?

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TEKS G.7B Question 3

• Which of the following best describes the graph
  of the equations below?

A. Same x-interceptB. Same y-interceptC.
The lines are parallel D. The lines are
perpendicular
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TEKS G.7B Question 4

• A line contains the points ( 1, -3 ) and ( 2, 2
  ). Which of the following pairs of points
  determine a line perpendicular?

A. ( 0, 0 ) and ( -1, 5 )B. ( 0, 0 ) and (
1, 5 )C. ( 1, 3 ) and ( 6, 2 )D. ( -4, 0 )
and ( 5, 5 )
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G.7C - 5 Questions

• Derive and use formulas involving length, slope,
  and midpoint.

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TEKS G.7C Question 1

• A coordinate grid is placed over a map. City A
  is located at ( -3, 2 ) and City B is located at
  ( 4, 8 ). If City C is at the midpoint between
  City A and City B, which is closest to the
  distance in coordinate units from City A to City
  C?

A. 4.61 B. 6.52C. 9.22
D. 21.26
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TEKS G.7C Question 2

• Which best represents the length of the shortest
  side of the triangle EHS?

S
H
E
A. 5.5 B. 5.8C. 6.0
D. 6.3
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TEKS G.7C Question 3

• What is the length of the larger base on the
  trapezoid?

A. 3.6 B. 10.8C. 4.5 D.
4
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TEKS G.7C Question 4
A

• What is the midpoint of FB?

B
C
F
E
A. ( 1, 1) B. ( -1, 1)C. ( 1, -
1) D. ( -1, -1)
D
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TEKS G.7C Question 5
A

• Which segments have the same slope?

1. BE 2. FE 3. BA 4. AF
5. CD
B
C
F
E
D
A. 3 and 2 only B. 1 and 5 onlyC. 4 and 5
and 3 only D. 5 and 1 and 4 only