Questions

1) Select which points are collinear.

a.) E, F, G

b.) F, G, H

c.) H, G, J

d.) E, F, J

2) Select the postulate that is illustrated by the statement in the figure below.

a.) Angle Addition

b.) Protractor Postulate

c.) Transitive Property

d.) Segment Addition

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

a.) P

b.) QS

c.) RST

d.) STQ

4) Four times the measurement of a supplement of an angle is twice the measurement of the other angle. How many degrees do each of the supplementary angles measure?

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5) Name the ordered pair for a fourth point, Q, so that points P, Q, R, and S will be the vertices of a rectangle.

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6) If triangle QKR is a right isosceles triangle and segment QR is its base, what is the length of segment QK?

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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) Which term is “a mathematical statement that can be proven to be true”?

a.) Postulate

b.) Definition

c.) Theorem

d.) Undefined Term

10) Use the true statement given below to decide if the following changed statement is an inverse, a converse, or a contrapositive: If Billy is not permitted to ride the “Turbo Drop”, then he is not at least 52 inches tall.

a.) Converse

b.) Inverse

c.) Contrapositive

11) For the information and the figure shown below, it can be deduced that angles QTN and RSN are congruent. Which property verifies this conclusion?

a.) Angle Addition

b.) Angle Subtraction

c.) Angle Multiplication

d.) Angle Division

12) Select the property of equality that verifies the conclusion.

a.) Addition Property

b.) Subtraction Property

c.) Division Property

d.) Substitution Property

13) In a series of statements to prove that triangles JHG and GHK are similar, which segment could be said to be congruent to itself (reflexive property)?

a.) Segment HK

b.) Segment GK

c.) Segment GH

d.) Segment HJ

14) For the information and the figure shown below, it can be deduced that angles JKM and LKN are congruent. Which property verifies this conclusion?

a.) Angle Addition

b.) Angle Subtraction

c.) Angle Multiplication

d.) Angle Division

15) For the information and the figure shown below, it can be deduced that segments HG and FE are congruent. Which property verifies this conclusion?

a.) Segment Addition

b.) Segment Subtraction

c.) Segment Multiplication

d.) Segment Division

16) For the information and the figure shown below, which two segments are congruent based on segment addition?

a.) Segments NO and PQ

b.) Segments NO and OP

c.) Segments OP and PQ

d.) Segments NP and OQ

17) Find the length and the width of the given rectangle if the perimeter is 104 inches.

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18) Which polygon is not regular?

a.) Polygon A

b.) Polygon B

c.) Polygon C

d.) Polygon D

e.) Polygon E

19) Refer to the Venn diagram below to complete the following conditional statement: If a frog is a(n) __________, then it is an ectotherm.

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20) Choose from intersecting, parallel, or skew lines to complete the following statements about the triangular prism shown below: (a) Segments ZD and BC are __________ lines. (b) Segments DZ and XZ are __________ lines. (c) Segments ZD and YC 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) How many degrees does angle 4 measure?

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

a.) Alternate interior angles are congruent.

b.) Alternate exterior angles are congruent.

c.) Consecutive interior angles are congruent.

d.) Corresponding angles are congruent.

23) The slopes of parallel lines are:

a.) equal to a product of -1.

b.) the same.

c.) equal to a product of 1.

d.) reciprocals of each other.

24) The slopes of perpendicular lines are:

a.) equal to a product of -1.

b.) the same.

c.) equal to a product of 1.

d.) reciprocals of each other.

25) Refer to the figure and the information shown below to answer the following questions: (a) What is the slope of line VW? (b) What is the slope of line XY? (c) Are lines VW and XY parallel? Please explain why or why not.

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26) Graph a line that passes through point P(–4, –3) and has a slope of 5/3. What is the ordered pair of a second point that may be plotted to graph the line?

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27) Triangle TUV is a(n) __________ triangle.

a.) equilateral

b.) isosceles

c.) scalene

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 is the definition of the type of triangle that you selected?

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29) Angle 2 measures how many degrees?

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30) To move triangle ABC into triangle ADC’s position, what two transformations must occur?

a.) slide and flip

b.) flip and rotation

c.) rotation and slide

31) When all three pairs of corresponding sides of two triangles are congruent, 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) When two pairs of corresponding sides and the included angle of two triangles are congruent, 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) When two pairs of corresponding angles and any one pair of corresponding sides of two triangles are congruent, 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) Read through the proof for the given information and figure below. Which postulate or theorem would be used as the final reason stating that triangles DEF and ABC are congruent?

a.) Side-Side-Side Postulate (13-A)

b.) Side-Angle-Side Postulate (13-B)

c.) Angle-Side-Angle Postulate (13-C)

d.) Angle-Angle-Side Theorem (13-A)

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

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36) Segment KN is a(n) ____________ of triangle JKM.

a.) median

b.) altitude

c.) midpoint

d.) angle bisector

37) If you decide to use an indirect proof when proving that segments AB and CD are congruent, what assumption do you make at the beginning of the proof?

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38) If point R lies in the interior of angle AUB, which of the following statements may not be true?

a.) measure of angle AUR < measure of angle BUR

b.) measure of angle AUR < measure of angle AUB

c.) measure of angle BUR < measure of angle AUB

d.) measure of angle AUR + measure of angle BUR = measure of angle AUB

39) Which angle’s measure is greater?

a.) angle KLM

b.) angle STR

40) Will the three line segments 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 phrase is not true for ALL rectangles?

a.) The opposite sides in a rectangle are congruent and parallel.

b.) The four angles in a rectangle are right angles.

c.) The consecutive angles in a rectangle are supplementary.

d.) The diagonals in a rectangle are perpendicular to each other.

e.) The diagonals in a rectangle bisect each other.

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