Questions

1) Select which points are collinear.

a.) Q, R, V

b.) U, S, T

c.) V, R, S

d.) V, R, U

2) Select the postulate that is illustrated by the given statement.

a.) HL Postulate

b.) Angle Addition

c.) Segment Addition

d.) Transitive Property

3) Which is not a name for the given plane?

a.) P

b.) BC

c.) BCD

d.) ABD

4) Three times the measurement of a complement of an angle is 34 degrees less than the angle. How many degrees do each of the complementary angles measure? (Hint: Let “x” represent one angle and “90 – x” represent the other angle. Then, write the equation and solve.)

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5) Name the ordered pair for a fourth point, S, so that PQRS will be the four vertices of a rectangle.

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6) If triangle NKS is a right isosceles triangle and segment NS is its base, what is the length of segment KS?

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7) Refer to the diagram below to answer the following questions: (a) What is the midpoint of segment ST? (b) What is the length of segment ST?

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8) Solve for "k".

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9) Select the terms that complete the following sentence: A mathematical statement that is accepted as true but remains unproven is a(n) __________ ; but, a mathematical statement that can be proven to be true is a(n) __________.

a.) postulate, theorem

b.) postulate, definition

c.) theorem, undefined term

d.) definition, postulate

10) Use the true statement given below to decide if the following changed statement is an inverse, a converse, or a contrapositive: If Bobby experienced a 92 MPH journey, then he rode the Millennium Force “giga-coaster”.

a.) converse

b.) inverse

c.) contrapositive

11) Select the property of equality that verifies the step shown.

a.) Addition Property

b.) Subtraction Property

c.) Multiplication Property

d.) Substitution Property

12) Select the property of equality that verifies the step shown.

a.) Reflexive Property

b.) Symmetric Property

c.) Transitive Property

13) Which is the best figure to illustrate the “Angle Addition”?

a.) Figure #1

b.) Figure #2

c.) Figure #3

d.) Figure #4

14) Which is the best figure to illustrate the “Segment Addition”?

a.) Figure #1

b.) Figure #2

c.) Figure #3

d.) Figure #4

15) Which is the best figure to illustrate the “Angle Subtraction”?

a.) Figure #1

b.) Figure #2

c.) Figure #3

d.) Figure #4

16) Which is the best figure to illustrate the “Segment Subtraction”?

a.) Figure #1

b.) Figure #2

c.) Figure #3

d.) Figure #4

17) The diameter of a compact disk is 12 centimeters. The nonmetallic circular center is 4 centimeters wide. Find the area of the metallic portion of a CD. Label the answer correctly.

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18) Refer to the figure below to answer the following questions: (a) What is the value of “x”? (b) What is the value of “y”? (c) What is the perimeter of polygon C?

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19) Refer to the Venn diagram below to complete the following conditional statement: If Hua Mei is a panda bear, then she is a __________.

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20) Choose from intersecting, parallel, or skew lines to complete the following statements about the hexagonal prism shown below: (a) Segments TG and SM are __________ lines. (b) Segments TG and LK are __________ lines. (c) Segments TG and MG are __________ lines.

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21) Refer to the figure below to answer the following questions: (a) What is the value of “x”? (b) Angle 4 is equal to how many degrees?

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22) Which of the following statements is NOT true about parallel lines that are cut by a transversal?

a.) Alternate interior angles are congruent.

b.) Alternate exterior angles are congruent.

c.) Consecutive interior angles are supplementary.

d.) Corresponding angles are supplementary.

23) Answer the following questions about the figure and the information given below: (a) What is the slope of line ST? (b) What is the slope of line MN? (c) What is the product of the slopes of lines ST and MN? (d) What kind of lines are lines MN and ST?

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24) For the figure and the information given below, explain why angles 1 and 2 are congruent angles. (Hint: First show that lines “u” and “v” are parallel lines.)

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25) Answer the following questions about the information and the figure shown below: (a) What is the slope of line MN? (b) What is the slope of line NP?

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26) Graph a line that passes through the point (–5, 2) and has a slope of (–3/4). What is the ordered pair of a second point you could use to graph the line?

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27) Triangle RSQ is what type?

a.) Isosceles and Right

b.) Equilateral

c.) Scalene and Right

28) Support the answer to the previous problem by answering the following: (a) What are the lengths of the three sides of the triangle? (b) What are the slopes of the two sides that appear to form a right angle?

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29) What theorem supports the statements shown in the figure below?

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30) Triangle TUV can be transformed to XVU. This is an example of what type of transformation?

a.) slide

b.) flip

c.) rotation

31) Which postulate or theorem could be used to deduce that the two triangles are congruent?

a.) angle–angle–side (AAS)

b.) side–side–side (SSS)

c.) angle–side–angle (ASA)

d.) side–angle–side (SAS)

32) Which postulate or theorem could be used to deduce that the two triangles are congruent?

a.) angle–angle–side (AAS)

b.) side–side–side (SSS)

c.) angle–side–angle (ASA)

d.) side–angle–side (SAS)

33) Which postulate or theorem could be used to deduce that the two triangles are congruent?

a.) angle–angle–side (AAS)

b.) side–side–side (SSS)

c.) angle–side–angle (ASA)

d.) side–angle–side (SAS)

34) Complete the missing parts of the proof. State the number of the statement and the corresponding reason.

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35) Refer to the figure and the information given below to explain that angles 1 and 2 are congruent by applying the “Hy-Leg” Postulate and CPCTC.

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36) In a triangle, a line segment that extends from a vertex of one angle to the midpoint of the opposite side is called a(n):

a.) median

b.) altitude

c.) midpoint

d.) angle bisector

37) If Allen uses an indirect proof to prove that angles Z and X are congruent, what assumption would he make at the beginning of his proof?

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38) If point P lies on a segment between points A and B, which of the following statements MAY NOT be true?

a.) AP < AB

b.) AP < BP

c.) BP < AB

d.) AP + BP = AB

39) Which is longer?

a.) segment AC

b.) segment JK

40) Will the three line segments given below form a triangle? Give a detailed explanation to support your answer.

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41) Refer to the figure below to answer the following questions: (a) When placed in Quadrant I, name the coordinates of point T that forms parallelogram QTRS. (b) When placed in Quadrant II, name the coordinates of point T that forms parallelogram QRST. (c) When placed in Quadrant IV, name the coordinates of point T, that forms parallelogram QRTS.

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42) Which statement is NOT true for ALL parallelograms?

a.) The opposite sides of all parallelograms are congruent and parallel.

b.) The opposite angles of all parallelograms are congruent.

c.) The consecutive angles of all parallelograms are supplementary.

d.) The diagonals of all parallelograms are congruent.

e.) The diagonals of all parallelograms bisect each other.

43) True or False? The diagonals of a rhombus bisect its four angles and are perpendicular.

True

False

44) Compare the definitions of a parallelogram and a kite by stating one similarity and one difference between the two quadrilaterals.

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45) A square is NOT which of the following?

a.) rectangle

b.) rhombus

c.) parallelogram

d.) trapezoid

e.) quadrilateral

46) Solve for “y”.

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47) Solve for “x”.

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48) Refer to the figure below to answer the following questions: (a) Angle C is equal to how many degrees? (b) What is the value of “x”?

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49) In the figure below, “x” represents the distance across the body of water at the specified location. Answer the following questions: (a) Explain through the AA Similarity Postulate that the two triangles are similar. (b) What is the value of “x”?

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50) Study the diagram below to determine the similar triangles. What is the value of “x”?

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