Entries Tagged as '4: geometry measure'

Sample Test Item 5 (2005)

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This test item is checking if we understand the definitions
of different types of triangles.

Choices B and C are both not true. A triangle that has
exactly two congruent sides is called an isosceles triangle.

Scalene triangles have no congruent sides. Equilateral
triangles have exactly three congruent sides (all sides are
equal).

Thus, Choice D is also not true.

Choice A is the only true statement since a scalene
triangle has no congruent sides.

Sample Test Item 3 (2005)

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This problem tests our understanding of figure definitions.

Choice A is not true. A parallelogram is a quadrilateral
with opposite sides parallel. A kite is a quadrilateral with
equal adjacent sides.

Choice B is not true. A quadrilateral is a four-sided
polygon. A trapezoid is a quadrilateral with two sides
parallel.

Choice C is not true. A rectangle is a quadrilateral with
opposite equal sides with four right angles. A square is a
rectangle with four equal sides.

Choice D is TRUE. A rhombus is an equilateral
parallelogram. A square is a rhombus with four right
angles.

Sample Test Item 63 (2003)

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Reflection produces a mirror image of an image. There is no change in size.

Translation only involves a position shift in the image. There is no change in size.

Rotation creates a copy of the image that is positioned at a different angle. There is no change in size.

Dilation involves the change in relative size or dimensions of a shape.

Choice D is your answer.

Sample Test Item 59 (2003)

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This question is checking if you remember your geometry objects. Choice B is not possible. A cone has a round base.

Choice C is not possible. A triangular pyramid has a triangular base.

Choice D is not possible. A square pyramid has a square base.

The only possible answer is Choice A.We see there is a downward (negative) slope that shows a trend of test scores as they are related to days absent.

It is safe to say that as students missed more days of school, their test score decreased.

Choice C is the correct answer.

Sample Test Item 53 (2003)

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The first row of the table shows us the y-intercept is located at y = 4.

This fact eliminates Choices C and D.

The second row of the table shows us that the x-intercept is located at x = 2.

This eliminates Choice A.

The only possible answer is Choice B.

Sample Test Item 49 (2003)

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We are provided two points of information. We can use this data to eliminate impossible answers.

The y-intercept is located at y = 6. This eliminates Choices A and C.

The x-intercept x = 3 is found on the left side of the positive y-intercept. Thus, the slope must be negative. Choice is eliminated.

Our only choice left is Choice D.

Sample Test Item 45 (2003)

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The angle is 84o.

The angle is not a right angle. A right angle is exactly 90o. Choice B is eliminated.

The angle is not an obtuse angle. An obtuse angle is greater than 90o. Choice C is eliminated.

Choice A makes no sense. Why do you need to measure another angle?

Choice D is the only correct answer. The angle is acute (less than 90o).

Sample Test Item 43 (2003)

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The problem states that the minimum allowed slope is -7/10. (-.70)

So, we are looking for steeper (more negative) slopes than the architect’s recommendation.

Choice A is -5/7. (-.71) APPROVED!

Choice B is -14/15. (-.93) APPROVED!

Choice C is -3/5. (-.60) REJECTED!

Choice D is -7/9. (-.78) APPROVED!


Choice C is the correct answer.

Sample Test Item 42 (2003)

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This question is testing your knowledge of congruent angles of an isosceles triangle.

After this is recognized, the rest is just alegbra. That is,

(1/2)x - 59 = -3x - 31

Combining like terms, we add 3x from both sides. We add 59 to both sides. We have

(3+ (1/2))x = -31 + 59

(7/2)x = 28

x = 8.

The answer is Choice A.

Sample Test Item 41 (2003)

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This test item is checking your understanding of corresponding angles.

If both L1 and L2 are parallel, then the two corresponding angles are congruent.

After this is proved, the rest is just alegbra. That is,

5x + 6 = 6x - 3

Combining like terms, we subtract 5x from both sides. At 3 to both sides. We have

9 = x.

or

x = 9.

Choice C is our only choice.

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