Download Geometry Unit 2 In-Class Review

Geometry Unit 2 In-Class Review
1) If △QRS ≅ △TMV, name all of the corresponding sides and angles? Then, write a congruence
statement using a different order than the given congruence statement.
2) Polygon ABCD ≅ polygon PQRS. Find the values of x and y.
3) Given the figures below, which theorem or postulate can be used to prove the two triangles are
congruent to each other?
a)
b)
c)
d)
32
32
4) What value of x will prove that Triangle EAY is a right triangle?
E
51 

Y (2x + 6)
(x - 3)
A
5) Dylan’s house is 6 miles from school and 7 miles from the library. Dylan’s house, the school, and
the library form a triangle. Find the range of values that the school is from the library.
6) Use the diagrams below to determine the relationship between the given angles or sides. Fill in
with <, >, or =.
a) m1 _____ m2
b) MS _____ LS
c) m1 _____ m2
M
I
2
__
1 2
99
__
7
6
L
7
8
T 95
S
1
I
7) Name the point of intersection of:
a) Perpendicular Bisectors
b) Angle Bisectors
c) Medians
d) Altitudes
8) Draw each type of triangle with the appropriate markings:
a) Obtuse Scalene
b) Acute Isosceles
c) Equiangular
9) List the sides and angles in order from smallest to biggest
a)
b)
28º
B
A
L
20
9
100º
M
C
18
N
10) Write an expression to represent the perimeter of the figure below.
11) Trapezoid LMNO is shown below. What must be the value of x to prove the trapezoid is an
isosceles trapezoid?
(3x + 40)o
(5x + 60)o
(6x + 10)o
(10x + 10)o
12) The figure below is a rhombus.
̅̅̅̅ ⊥ 𝑀𝑃
̅̅̅̅̅ ?
a) Which property explains why 𝑁𝑆
b) Which property explains why ∡𝑁𝑃𝑀 ≅ ∡𝑆𝑃𝑀?
c) Which property explains why ∡𝑁𝑃𝑆 ≅ ∡𝑆𝑀𝑁?
13) List all of the properties of a parallelogram (without looking at your notes).
14) Julian claims that all quadrilaterals are parallelograms. Which statement below disproves Julian’s
claim?
A) A rectangle is a quadrilateral
B) Quadrilaterals have four sides
C) A rhombus is a quadrilateral
D) A kite is a quadrilateral
15) An isosceles trapezoid has all properties of a trapezoid, has base angles congruent, and has legs
congruent. What else is true about an isosceles trapezoid?
16) Determine whether the following are sometimes (S), always (A), or never (N) true.
a) A parallelogram is a rectangle.
b) A square is a rhombus.
c) A kite is an isosceles trapezoid.
d) An isosceles trapezoid has two congruent legs.
e) A trapezoid has two pairs of opposite sides parallel.
f) A kite has exactly one pair of opposite angles congruent.
g) A square has congruent diagonals.
h) The interior angles of a quadrilateral add up to 360°.
17) In the figure below:
a) What is the relationship between the opposite angles? Explain how you know.
b) What is the relationship between the consecutive angles? Explain how you know.
c) What is the relationship between the diagonals? Explain how you know.
18) List all the quadrilaterals with:
a) Both pairs of opposite sides congruent
b) Diagonals that bisect each other
c) Diagonals that are congruent
d) Diagonals that are perpendicular to each other
e) Exactly one pair of opposite angles congruent
19) Given quadrilateral PQRS with vertices P(5, 4), Q(3, -6), R(0, -10), and S(2, 0), find the lengths of
the diagonals.
20) What type of quadrilateral is PQRS if the coordinates of the vertices are P(1, 1), Q(5, 3), R(7, 7),
and S(3, 5)?
21) If quadrilateral PQRS is a kite with vertices Q(-2, 3), R(3, 6), and S(0, 1), what are the coordinates
of the missing vertex P if the x-coordinate of P is -2?
22) Write an expression to represent the missing x-coordinate.
23) In the diagram, ∆EFG  ∆HIJ. What is the measure of ∡𝐻?
F
I
65o
E
35o
G
J
H
24) In the following figure, ∡𝑁 corresponds to which angle in ∆VUS?
S
U
V
A
N