WorksheetsReview for Geometry FALL FINAL 2025
Total questions: 53
Worksheet time: 27mins
Name
Class
Date
1.
First Name
4 lines
2.
Last Name
4 lines
3.
Period
a)
3
b)
5
4.
A quadrilateral has both pairs of opposite sides parallel and congruent. Which type of quadrilateral best describes it?
a)
Trapezoid
b)
Parallelogram
c)
Kite
d)
Rhombus
5.
A square is a special type of which quadrilateral?
a)
Trapezoid
b)
Kite
c)
Parallelogram
d)
Pentagon
6.
Which of the following quadrilaterals has two pairs of equal and parallel sides?
a)
Rectangle
b)
Trapezoid
c)
Kite
d)
Triangle
7.
Which of the following statements about rectangles and rhombuses is always true?
a)
Both have congruent diagonals.
b)
Both have perpendicular diagonals.
c)
Both have opposite sides parallel.
d)
Both have four equal angles.
8.
A quadrilateral has exactly one pair of parallel sides. What is it called?
a)
Parallelogram
b)
Kite
c)
Trapezoid
d)
Rhombus
9.
Which statement is true about the angles of a parallelogram?
a)
All angles are congruent.
b)
Consecutive angles are supplementary.
c)
Diagonals are congruent.
d)
Opposite angles are complementary.
10.
In a kite, which of the following statements is true about the diagonals?
a)
Both diagonals bisect each other
b)
Diagonals are congruent.
c)
One diagonal bisects the other.
d)
Diagonals form four congruent triangles.
11.
Which quadrilateral can be classified as both a rectangle and a rhombus?
a)
Parallelogram
b)
Trapezoid
c)
Square
d)
Kite
12.
You are given a quadrilateral with diagonals that are equal in length and bisect each other. What type of quadrilateral is it?
a)
Rectangle
b)
Rhombus
c)
Parallelogram
d)
Trapezoid
13.
What do we call a quadrilateral with all sides equal in length but angles not necessarily 90°?
a)
Square
b)
Rhombus
c)
Rectangle
d)
Trapezoid
14.
What does CPCTC stand for, and how is it used in geometry?
a)
Congruent Points Create Triangle Congruence; it is used to prove that two triangles are congruent.
b)
Corresponding Parts of Congruent Triangles are Congruent; it is used to prove that specific parts (angles or sides) of two congruent triangles are also congruent.
c)
Corresponding Points of Congruent Triangles are Congruent; it is used before proving triangle congruence.
d)
Congruent Parts Create Triangle Congruence; it is used to match triangles with similar shapes.
15.
If △PQR is congruent to △STU, which of the following statements is false?
a)
∠P = ∠ S
b)
Side QR = Side TU
c)
Side PQ = Side ST
d)
∠R = ∠T
16.
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, which postulate proves the triangles are congruent?
a)
ASA
b)
AAS
c)
SAS
d)
SSS
17.
In ΔABC and ΔDEF, AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D. What postulate can be used to prove ΔABC ≅ ΔDEF?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
18.
Which of the following combinations cannot be used to prove triangles congruent?
a)
SAS
b)
ASA
c)
SSS
d)
SSA
19.
If ΔABC ≅ ΔDEF, which statement must be true?
a)
∠B ≅ ∠F only
b)
∠A ≅ ∠D and AB ≅ DE
c)
Only sides are congruent
d)
Angles are not congruent
20.
Which information is enough to prove ΔABC ≅ ΔDEF by SAS?
a)
Two sides and a non-included angle
b)
Two sides and the included angle
c)
Three angles
d)
Two angles and one side
21.
Given ΔABC with AB = 6 cm, BC = 8 cm, and ∠B = 45°, and ΔDEF with DE = 6 cm, EF = 8 cm, and ∠E = 45°, which triangles are congruent by which postulate?
a)
Yes, by SAS
b)
Yes, by ASA
c)
No, not enough information
d)
Yes, by AAS
22.
If two right triangles have hypotenuses and one leg congruent, they are congruent by which theorem?
a)
ASA
b)
AAS
c)
HL
d)
SAS
23.
Which condition is not necessary to use the HL Theorem?
a)
Both triangles are right triangles
b)
Hypotenuses are congruent
c)
One leg is congruent
d)
Both triangles are isosceles
24.
If ΔABC ≅ ΔXYZ by ASA, which parts must be congruent?
a)
Two sides only
b)
Two angles and the included side
c)
Three sides
d)
Two sides and non-included angle
25.
In a geometric proof, the statement CPCTC is most often used in which step, and why?
a)
At the beginning, to assume triangles are congruent and identify equal parts.
b)
After proving two triangles are congruent, to justify that specific sides or angles are congruent.
c)
In the middle, to substitute equal measures into equations before triangles are proven congruent.
d)
At the end, to determine that two triangles are similar, not congruent.
26.
If ΔABC ≅ ΔDEF by SAS, which pair represents the included angle?
a)
∠A and ∠D
b)
∠B and ∠E
c)
∠C and ∠F
d)
Any non-included angle
27.
Two triangles have all three corresponding sides congruent. What can you conclude?
a)
Triangles are congruent by SSS
b)
Triangles are congruent by ASA
c)
Triangles are similar only
d)
Triangles are not congruent
28.
A builder creates two triangular roof supports.
Each has sides of 4 ft, 6 ft, and 8 ft. However, one triangle faces left, and the other faces right.
What can be concluded about the two supports?
a)
They are not congruent because they are mirror images.
b)
They are congruent by SSS, since all three sides are equal in length.
c)
They are similar but not congruent, because they face opposite directions.
d)
They are congruent by ASA, since all sides are equal.
29.
Which postulate can be used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle?
a)
SSS (Side-Side-Side)
b)
SAS (Side-Angle-Side)
c)
ASA (Angle-Side-Angle)
d)
AAS (Angle-Angle-Side)
30.
Two triangles share one side. The remaining sides of both triangles are equal in length, and the included angles between those sides are congruent.
What can you conclude about the two triangles, and why?
a)
The triangles are congruent by SAS, because two sides and the included angle are congruent.
b)
The triangles are congruent by ASA, because they share one side and one angle.
c)
The triangles are similar, not congruent, because only the angles are the same.
d)
The triangles are not congruent because shared sides do not count in congruence.
31.
If ΔABC and ΔDEF are congruent, which of the following must also be congruent?
a)
∠A and ∠F
b)
BC and EF
c)
AC and EF
d)
∠C and ∠E only
32.
Two triangles are congruent by the SAS postulate. Which statement follows by CPCTC?
a)
Triangles have equal perimeters
b)
Their corresponding angles are equal
c)
Their areas are equal
d)
Their diagonals are equal
33.
Which congruence condition can be used to prove ∆ABC ≅ ∆XYZ?
a)
AA
b)
SSS
c)
SSA
d)
AAA
34.
A central angle measures 80∘. What is the measure of its intercepted arc?
a)
40∘
b)
80∘
c)
160∘
d)
180∘
35.
An inscribed angle intercepts an arc measuring 100∘. What is the measure of the inscribed angle?
a)
25∘
b)
40∘
c)
50∘
d)
100∘
36.
A central angle and an inscribed angle intercept the same arc. If the central angle measures 120∘, then the inscribed angle measures:
a)
60∘
b)
120∘
c)
30∘
d)
90∘
37.
A central angle and an inscribed angle intercept the same arc. If the inscribed angle measures 80∘, then the central angle measures:
a)
60∘
b)
160∘
c)
30∘
d)
90∘
38.
In circle O, ∠AOB is a central angle measuring 70∘. What is the measure of minor arc AB?
a)
35∘
b)
70∘
c)
110∘
d)
140∘
39.
The measure of an inscribed angle is one-half the measure of its _____.
a)
intercepted chord
b)
intercepted arc
c)
central angle
d)
tangent line
40.
The measure of an intercepted arc is equal to the measure of its _____.
a)
intercepted chord
b)
intercepted arc
c)
central angle
d)
tangent line
41.
If an inscribed angle measures 45∘, what is the measure of its intercepted arc?
a)
45∘
b)
90∘
c)
135∘
d)
180∘
42.
Two inscribed angles intercept the same arc. What can you conclude about the two angles?
a)
They are congruent.
b)
They are supplementary.
c)
One is twice the other.
d)
They are complementary.
43.
An inscribed angle intercepts/subtends a semicircle. What is the measure of the angle?
a)
45∘
b)
60∘
c)
90∘
d)
180∘
44.
The measure of the central angle is twice the measure of its corresponding inscribed angle because:
a)
Both intercept the same arc.
b)
The central angle is supplementary to the inscribed angle.
c)
The inscribed angle is on the tangent.
d)
The intercepted arcs are different.
45.
If arc AB measures 160∘, what is the measure of the inscribed angle that intercepts it?
a)
20∘
b)
40∘
c)
60∘
d)
80∘
46.
Which statement correctly describes a central angle in a circle?
a)
Its vertex is inside the circle but not at the center
b)
Its vertex is on the circle
c)
Its vertex is at the center of the circle
d)
Its sides are always tangent to the circle
47.
Which statement correctly describes an inscribed angle in a circle?
a)
Its vertex is inside the circle but not at the center
b)
Its vertex is on the circle
c)
Its vertex is at the center of the circle
d)
Its sides are always tangent to the circle
48.
In a circle, an inscribed angle intercepts an arc measuring 100°. Which of the following is the measure of the inscribed angle?
a)
50°
b)
100°
c)
200°
d)
25°
49.
In circle O, angle ∠ABC is an inscribed angle that intercepts arc AC, and the measure of arc AC is 80°. What is the measure of angle ∠ABC?
a)
40°
b)
80°
c)
100°
d)
160°
50.
If a central angle measures 120°, what is the measure of the intercepted arc?
a)
60°
b)
90°
c)
120°
d)
240°
51.
If a central angle measures 45°, what is the measure of the intercepted arc?
a)
45°
b)
90°
c)
180°
d)
240°
52.
If an inscribed angle measures 40°, what is the measure of the intercepted arc?
a)
20°
b)
40°
c)
80°
d)
100°
53.
An inscribed angle intercepts an arc measuring 150°. What is the measure of the inscribed angle?
a)
50°
b)
65°
c)
75°
d)
150°
100 %
