Free Printable OUR Integrated Math 2 Unit 5 Review (Geometric Figures)

1.

Sum of three angles of any triangle = _______

a)

$180\degree$

b)

$90\degree$

c)

$360\degree$

d)

$270\degree$

2.

\parallel

What does this symbol mean?

a)

Perpendicular

b)

Linear

c)

Parallel

d)

Congruent

3.

In a triangle, a MEDIAN is a line segment drawn from the ______________ to the _________________ of the opposite side.

a)

Vertex, Side

b)

Vertex Perpendicular

c)

Midpoint, Vertex

d)

Vertex, Midpoint

4.

What is shown in the figure by $h$ ?

a)

Median

b)

Perpendicular Bisector

c)

Altitude

d)

Transversal

5.

If\ \ \ \overline{PL\ }\ \ \

is an angle bisector , then . . .

a)

$\angle RPL\ +\angle LPQ\ =\ 90\degree$

b)

$m\angle RPL\ =\ m\angle LPQ$

c)

$\overline{RP}\ \perp\ \overline{LP}$

d)

$\Delta RPL\ \cong\Delta LPQ$

6.

What theorem can be used to prove these two triangles congruent?

a)

ASA

b)

SAS

c)

SSS

d)

SSA

7.

If\ m\angle ABC\ =\ 90\degree

What is the value of x?

a)

x = 45

b)

x = 30

c)

x = 15

d)

x = 60

8.

What is the value of x?

a)

x = 18

b)

x = 24

c)

x = 110

d)

x = 108

9.

What is the value of x?

a)

x = 30

b)

x = 45

c)

x = 15

d)

x = 115

10.

Based on the figure, which of the following statements is true?

a)

\angle1\cong\angle5

b)

$\angle2\ \cong\angle4$

c)

$\angle4\ \cong\angle7$

d)

$\angle3\ \cong\angle8$

11.

What is the value of x, y, z?

a)

x = 55, y = 180, z = 90

b)

x = 60, y = 80, z = 100

c)

x = 55, y = 80, z = 100

12.

Vertical angles are _________ to each other.

a)

Perpendicular

b)

Equal

c)

Inverse

d)

Parallel

13.

Rigid Motions preserve ...

a)

size and shape

b)

size and location

c)

shape and location

d)

shape and direction

14.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

15.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

16.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Colorful Pieces of Corresponding Triangles are Congruent

d)

Congruent Pieces of Congruent Triangles are Congruent

17.

A parallelogram is a rectangle when the diagonals ...

a)

are perpendicular.

b)

bisect each other.

c)

are congruent.

d)

are parallel.

18.

What triangle congruence criteria is shown in the given diagram?

a)

AAS

b)

ASA

c)

SSA

d)

SAS

19.

A centroid is formed by the point of concurrency of three __________ of a triangle.

a)

altitudes

b)

medians

c)

perpendicular bisectors

d)

angle bisectors

20.

By definition, a parallelogram ...

a)

has opposite sides that are parallel.

b)

has four sides.

c)

is a slanted rectangle.

d)

has four right angles.

21.

What is the missing piece of information required to prove these triangles congruent?

a)

QY ≅ QY

b)

NY ≅ PY

c)

∠N ≅ ∠P

d)

QY is the perpendicular bisector

22.

Which quadrilateral has diagonals that are always perpendicular bisectors of each other?

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

23.

The orthocenter is the point of concurrency for three ...

a)

perpendicular bisectors

b)

angle bisectors

c)

medians

d)

altitudes

24.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

25.

What is the "statement" for step 3 of the proof?

a)

HT=TA

b)

HA=AH

c)

MA=AM

d)

MA=MH

26.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

27.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

28.

A parallelogram is a rectangle when the diagonals ...

a)

are perpendicular.

b)

bisect each other.

c)

are congruent.

d)

are parallel.

29.

If parallel lines are cut by a transversal, alternate interior angles are congruent.

a)

True

b)

False

30.

Angles 3 and 5 are congruent because they are (a) .

31.

If angle 1 is congruent to angle 2, select all that are true

a)

Both angles are 90^o

b)

The angles are complimentary

c)

The angles are supplementary

d)

The angles form a linear Pair

32.

Select all that are true

a)

Angles D and E are Linear Pairs

b)

Angles A, B and C are supplementary

c)

Angles A and E are congruent

d)

Angles D and B are congruent

33.

Determine the correct reason for statement #4.

a)

opposite sides of a parallelogram are congruent theorem

b)

all sides are parallel

c)

sides are congruent

d)

sides are supplementary

34.

In parallelgram ABRK, $\Delta ARB\cong\Delta RAK$ for what reason?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

35.

Fill in the Reason#6.

a)

Opposite sides of a parallelogram are congruent.

b)

definition of parallelogram

c)

Prove

d)

CPCTC

36.

Given this information, which quadrilateral is proven?

"A quadrilateral with one pair of opposite sides both congruent and parallel"

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

37.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides equal

b)

Diagonals bisect each other

c)

Opposite angles equal

d)

Not enough info

38.

If a quadrilateral has 4 equal sides, then it can only be a square.

a)

TRUE

b)

FALSE

39.

How do you prove a quadrilateral is a Rectangle?

a)

Both pairs of opposite sides are congruent

b)

Diagonals are congruent

c)

One pair of opposite sides are congruent

d)

Both pairs of opposite sides are congruent and diagonals are congruent

40.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

41.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite angles equal

c)

Opposite sides equal and parallel

d)

Not enough info

42.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

43.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides equal

b)

Opposite sides parallel

c)

Diagonals bisect each other

d)

Not enough info

44.

What is the relationship of the angles?

a)

Corresponding angles

b)

Consecutive interior angles

c)

Alternate interior angles

d)

alternate exterior angles

45.

Which pair of angles are corresponding angles?

a)

$\angle$ 7 and $\angle$ 4

b)

$\angle$ 2 and $\angle$ 6

c)

$\angle$ 8 and $\angle$ 1

d)

$\angle$ 2 and $\angle$ 8

46.

Identify each pair of angles.

a)

alternate exterior

b)

same-side interior

c)

corresponding

d)

alternate interior

47.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

48.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

49.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

50.

Identify the angle pair.

a)

Complementary angles

b)

Congruent angles

c)

Linear Pair

d)

Vertical Angles

OUR Integrated Math 2 Unit 5 Review (Geometric Figures)

Total questions: 50

Worksheet time: 50mins

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