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Geometry Final Review 2024

Total questions: 45

Worksheet time: 11hrs 15mins

Name
Class
Date
1.

State Euler's Formula.

(a)  

2.
If a line intersects the interior of a circle, then it contains a chord of the circle.
a)
Chord Postulate
b)
tangent
c)
common tangent
d)
tangent circles
3.
a line that is tangent to each of the two coplanar circles.
a)
Chord Postulate
b)
tangent
c)
common tangent
d)
tangent circles
4.
the measure of an arc formed by the union of two adjacent arcs is the sum of the measures of the two adjacent arcs.
a)
semi circles
b)
minor arc
c)
major arc
d)
Arc Addition Postulate
e)
congruent arcs
5.
arcs on the congruent circles (or the same circle) that have the same measure.
a)
semi circles
b)
minor arc
c)
major arc
d)
Arc Addition Postulate
e)
congruent arcs
6.

Find the area of rectangle

(a)  

7.

Find the area of the triangle

(a)  

8.

Find the area of the parallelogram

(a)  

9.

Find the area of the trapezoid.

(a)  

10.

Find the area of the kite

(a)  

11.

Find the area of the circle

(a)  

12.

Find the area of a regular pentagon with s = 9 and a = 6.2

(a)  

13.
Find JE if AD = 12 and CH = CJ.
a)
12
b)
24
c)
6
d)
not enough information
14.
Find BC.
a)
22
b)
24
c)
26
d)
not enough information
15.
Find the perimeter of the quadrilateral.
a)
37
b)
61
c)
74
d)
not enough information
16.
If a minor arc measures 80°, the corresponding major arc measures _____.
a)
10°
b)
100°
c)
280°
d)
300°
e)
none of these
17.
a)
50°
b)
60°
c)
70°
d)
80°
e)
none of these
18.

Find the measure of arc XZY.

(a)  

19.

Find RS if QT = 25 and QS = 65

(a)  

20.

Find ST if QR = x, RS = 2x-4 and QS =2x+4.

(a)  

21.

Find the measure of arc EF

(a)  

22.

Find the measure of arc DH

(a)  

23.

Find the measure of arc EG

(a)  

24.

Find the measure of arc GH

(a)  

25.

Find the measure of angle D

(a)  

26.

Find the measure of angle DJE

(a)  

27.
Solve for 𝑥 .
a)
9°
b)
18°
c)
32°
d)
none of the above
28.

Solve for the missing arc length

(a)  

29.

Solve for the missing arc length

(a)  

30.

Solve for the missing arc length

(a)  

31.

A convex polyhedron (a 3D shape) has 7 faces and 15 edges. How many vertices does it have?

(a)  

32.

How many 5 gal buckets of premium aluminum paint must be purchased to coat the top and outside of the illustrated storage silo shown if each bucket covers 925 ft2?

(a)  

33.

Find the volume of a 13-inch tall rectangular prism with an 8in x 22in base.

(a)  

34.

Find the volume of a right circular cylinder with a diameter of 8 cm and a height of 20 cm.

(a)  

35.

Find the volume of the right cone.

(a)  

36.

number of square units needed to cover a region completely

a)

Segment

b)

Area

c)

Apothem

d)

Radius

37.

segment that joins the center and a vertex of a regular polygon

a)

Central Angle

b)

Area

c)

Apothem

d)

Radius

38.

angle formed be two radii drawn to consecutive vertices of a regular polygon and an angle whose vertex is the center of the circle and whose sides contain radii of the circle

a)

Central Angle

b)

Area

c)

Apothem

d)

Radius

39.

the perpendicular segment that joins the center with a side of the regular polygon

a)

Central Angle

b)

Area

c)

Apothem

d)

Radius

40.

the region bounded by two radii and the intercepted are of the circle

a)

Central Angle

b)

Sector

c)

Apothem

d)

Segment

41.

the region bounded by a chord and its intercepted arc of the circle

a)

Central Angle

b)

Sector

c)

Apothem

d)

Segment

42.

line in the same plane as a circle that intersects the circle in exactly one point

a)

Tangent

b)

Tangent Circle

c)

Inscribed Angle

d)

Cubic unit

43.

coplanar circles that are tangent to the same line at the same point

a)

Tangent

b)

Tangent Circle

c)

Inscribed Angle

d)

Cubic unit

44.

angle whose vertex is a point of a circle whose sides contain chords of the circle

a)

Tangent

b)

Tangent Circle

c)

Inscribed Angle

d)

Cubic unit

45.

cube whose edges measure one unit

a)

Tangent

b)

Tangent Circle

c)

Inscribed Angle

d)

Cubic unit

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