for all real numbers, x2 ≥x.

which number is a counterexample to the statement?

a) 1

b) 2

c) 3

d) 1

2

2)

7x + 3x + 4 = 24 (given)

10x + 4 = 24 (simplify)

10x = 20

x = 2 (division)

what is the missing reason for the argument shown?

a) addition

b) division

c) subtraction

d) multiplication

3)

if a triangle is acute, then all three angles have a measure of 60°.

provide a counterexample to show that the statement is false.

a) the three angles could be 30°, 30°, and 30°

b) the three angles could be 30°, 60°, and 90°

c) the three angles could be 30°, 70°, and 80°

d) the three angles could be 30°, 30°, and 120°

4)

which of the choices shown could be used to prove that δacp≅δbcp ?

a) aaa

b) cpctc

c) sas

d) ssa

5)

the red shape has been translated to the blue shape. the translation is

a) (x', y') = (x, y - 6)

b) (x', y') = (x - 6, y)

c) (x', y') = (x - 4, y - 4)

d) (x', y') = (x - 6, y - 6)

6)

if two lines are perpendicular, then they intersect

write the contrapositive of the conditional statement and determine whether it is true or false.

a) if two lines intersect, then they are perpendicular. true

b) if two lines intersect, then they are perpendicular. false

c) if two lines do not intersect, then they are not perpendicular. true

d) if two lines do not intersect, then they are not perpendicular. false

7)

which shape shown has only one line of symmetry?

a) circle

b) rectangle

c) isosceles trapezoid

d) equilateral triangle

8)

conditional statement:

if a polygon is a regular pentagon, then it has 5 sides.

state the converse of the conditional statement and determine whether it is true or false.

a) if a polygon has 5 sides, then it is a regular pentagon. true

b) if a polygon has 5 sides, then it is a regular pentagon. false

c) if a polygon is not a regular pentagon, then it does not have 5 sides. true

d) if a polygon is not a regular pentagon, then it does not have 5 sides. false

9)

which letter has neither line symmetry nor rotational symmetry?

a) c

b) f

c) n

d) z

10)

choose the missing reason in the proof.

a) aas

b) asa

c) ssa

d) sas

11)

a triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). it is reflected about the y-axis. what are its new coordinates?

a) (-2,3), (4,-5), (2,4)

b) (-2,-3), (4,5), (2,-4)

c) (2,-3), (-4,5), (-2,-4)

d) (-2,-3), (-4,-5), (-2,-4)

12)

identify the translation rule on a coordinate plane that verifies that square a(-4,3), b(-4,8), c(-9,3), d(-9,8) and square a'(-3,4), b'(-3,9), c'(-8,4), d'(-8,9) are congruent.

a) (x, y) → (x - 1, y - 1)

b) (x, y) → (x - 1, y + 1)

c) (x, y) → (x + 1, y + 1)

d) the squares are not congruent

13)

the midpoint of segment ab is (5, 3). the coordinates of point a are (1, 5). find the coordinates of point b.

a) (9, 1)

b) (9, 3)

c) (-3, 3)

d) (4, -2)

14)

which tool(s) are needed to construct a perpendicular bisector of a line segment?

a) a protractor only.

b) a straight edge only.

c) a straight edge and a compass.

d) a straight edge and a protractor.

15)

how many sides does a regular polygon have if the exterior angles each measure 18°?

a) 9 sides

b) 18 sides

c) 20 sides

d) 36 sides

16)

after bisecting the original angle, there are two angles that each measure 18°. which statement is true?

a) the original angle of 2° was bisected into two congruent angles.

b) the original angle of 9° was bisected into two congruent angles.

c) the original angle of 36° was bisected into two congruent angles.

d) the original angle of 72° was bisected into two congruent angles.
*attachments are in order and are used for 4,5,7,10 and 16