Basic Angles

```Bellringer
Use the diagram to identify 1
pair of each of the following:
-Corresponding angles
-Vertical angles
Geometry
JEOPARDY
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GEOMETRY JEOPARDY
Basic
Angles
Triangles
Congruent
Triangles
Pythagorean
Theorem
Relationships
Volume
\$100
\$100
\$100
\$100
\$100
\$100
\$200
\$200
\$200
\$200
\$200
\$200
\$300
\$300
\$300
\$300
\$300
\$300
\$400
\$400
\$400
\$400
\$400
\$400
\$500
\$500
\$500
\$500
\$500
\$500
Angle
Replay
Go to Final Jeopardy
Basic Angles \$100
Angles a and b are
congruent because of
_______________ angles
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Basic Angles \$100
Angles a and b are
congruent because of
Vertical angles
\$100
Basic Angles \$200
∠ DGC?
a) ∠ FGA
b) ∠ DGE
c) ∠ EGF
d) ∠ AGB
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Basic Angles \$200
∠ DGC?
a) ∠ FGA
b) ∠ DGE
c) ∠ EGF
d) ∠ AGB
\$200
Basic Angles \$300
Write and solve an
equation to find the
measure of angle b.
next
Basic Angles \$300
Write and solve an equation to
find the measure of angle b.
b + 63 = 90
-63
-63
b = 27˚
\$300
Basic Angles \$400
Line l and m are parallel. Angle 8
is congruent to angle 2 because
of_____________ ___________
_____________
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Basic Angles \$400
Line l and m are parallel. Angle 8
is congruent to angle 2 because
of Alternate Interior Angles
54
\$400
Basic Angles \$500
If line p and line t are parallel,
name one pair of
corresponding angles.
Line p
Line t
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Basic Angles \$500
If line p and line t are parallel,
name one pair of corresponding
angles.
A and E
Line p
Line p
B and F
Line t
Line t
C and G
D and H
\$500
Angle Relationships
\$100
∠x and ∠y are complementary.
∠x = (2w + 8)˚ and ∠y = 14 ˚
What is the measure of ∠x?
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Angle Relationships
\$100
∠x and ∠y are complementary.
∠x = (2w + 8)˚ and ∠y = 14 ˚
What is the measure of ∠x?
(2w + 8) + 14 = 90
2w + 22 = 90
-22 -22
2w = 68
w = 34
\$100
∠x = (2w + 8)˚
∠x = 2(34) + 8
∠x = 68+ 8
∠x = 76˚
Angle Relationships
\$200
∠h and ∠j are supplementary.
∠h = 123˚ and ∠j = (12+3x)˚
What is the measure of ∠j?
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Angle Relationships
\$200
∠h and ∠j are supplementary.
∠h = 123˚ and ∠j = (12+3x)˚
What is the measure of ∠j?
(12 + 3x) + 123 = 180
3x + 135 = 180
-135 -135
3x = 45
x = 15
\$200
∠j = (12 + 3x)˚
∠j = 12+ 3(15)
∠j = 12+ 45
∠j = 57˚
Angle Relationships
\$300
Lines l and m are parallel. Angle
6 is supplementary to which
angles?
next
Angle Relationships \$300
Lines l and m are parallel. Angle
6 is supplementary to which
angles?
∠2
∠5
∠1
∠8
\$300
Angle Relationships
next
\$400
Angle Relationships
Which angles are
a) ∠ HIK and ∠JIF
b) ∠ HIK and ∠KIJ
c) ∠ HIK and ∠EFI
d) ∠ HIK and ∠DFG
\$400
\$400
Angle Relationships
next
\$500
Angle Relationships
\$500
\$500
Triangles
\$100
What is the missing
angle measure?
x˚
56˚
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49˚
Triangles
\$100
What is the missing
angle measure?
56 + 49 + X = 180
105 +
X
= 180
X
= 75
x˚
75˚
56˚
\$100
49˚
Triangles
\$200
What is the missing
angle measure?
next
Triangles
\$200
What is the missing
angle measure?
\$200
Triangles
\$300
What is the missing
angle measure?
next
Triangles
101
\$300
101
56
124
45
\$300
56
Triangles
\$400
Find the measure of
angle M.
next
Triangles
\$400
x+5 + 2x-2 + 90 = 180
3x + 93 = 180
3x = 87
x = 29
So Angle M is 2(29) – 2 or 56 degrees
\$400
Triangles
\$500
What is the missing angle
measure?
next
Triangles
\$500
50
64 116
64
116
50
66
130
66
50 64 116
50 130
116
\$500
130
Congruent Triangles
\$100
Which rule proves that
these triangles are
congruent?
next
Congruent Triangles
\$100
Which rule proves that
these triangles are
congruent?
side-angle-side
\$100
Congruent Triangles
\$200
Which rule proves that
these triangles are
congruent?
next
Congruent Triangles
\$200
Which rule proves that
these triangles are
congruent?
side-side-side
\$200
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle
side-angle-side
none of the above
next
\$300
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle -6
side-angle-side
none of the above
\$300
\$300
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle
-10 – (-4)
side-angle-side
none of the above
next
–3
\$400
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle -9
side-angle-side
none of the above
\$400
\$400
Congruent Triangles
\$500
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
a = -9, b = 8, c
side-side-angle
side-angle-side
b–a–c
none of the above
next
=1
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle 16
side-angle-side
none of the above
\$500
\$500
Pythagorean Theorem \$100
A triangle has sides with
lengths of 6 inches, 9
inches and 14 inches. Is
it a right triangle?
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Pythagorean Theorem \$100
A triangle has sides with
lengths of 6 inches, 9
inches and 14 inches. Is
it a right triangle?
No! the Pythagorean
Theorem doesn’t work.
\$100
Pythagorean Theorem \$200
What is the length of the
missing side?
next
Pythagorean Theorem \$200
What is the length of the
missing side?
40 ft
\$300
Pythagorean Theorem \$300
Find the distance between
the two points shown.
Round to the nearest tenth.
next
Pythagorean Theorem \$300
Find the distance between
the two points shown.
Round to the nearest tenth.
4.2 units
3
3
\$100
Pythagorean Theorem \$400
What is the length of the
missing side?
next
Pythagorean Theorem \$400
What is the length of the
missing side?
\$400
Pythagorean Theorem \$500
Two joggers run 8 miles north
and then 5 miles west. What is
the shortest distance, to the
nearest tenth of a mile, they
starting point?
next
Pythagorean Theorem \$500
Two joggers run 8 miles north
and then 5 miles west. What
is the shortest distance, to the
nearest tenth of a mile, they
starting point?
9.4 miles
\$500
Volume \$100
Find the volume of this figure.
Round to the nearest tenth.
next
Volume
\$100
Cylinder:
V = 3.14 x 52 x 7
549.5 yd3
\$100
Volume
\$200
Find the volume of this figure.
Round to the nearest tenth.
next
Volume
\$200
CONE:
V = (1/3) x 3.14 x 42 x 7
117.2 m3
\$200
Volume
\$300
Find the volume of this figure.
Round to the nearest tenth.
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Volume
CYLINDER:
V = 3.14 x
803.8
2
8
x4
3
m
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\$300
Volume
\$400
The soccer ball is 22 cm across
in diameter. Find its volume to
the nearest tenth.
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Volume
\$400
V = (4/3) x 3.14 x 113
5572.5 cm3
\$400
Volume
\$500
A cone has a height of 3.2
inches and a volume of
53.59 cubic inches.
next
Volume
\$500
Cone:
V = (1/3) x 3.14 x
2
r
xh
53.59 = (1/3) x 3.14 x r2 x 3.2
53.59 = 3.35 x
16 = r2
2
r
…so r = 4 inches
\$500
Daily
Double
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Final
Jeopardy
Today’s Category:
Pythagorean Theorem
next
ran 9 feet straight out from
went left 4 feet before running
straight back to his original
far did Mike travel? Round to
the nearest tenth.
next
4 ft
9 ft
9.8 ft
Mike traveled a total of
22.8 feet.
next
Geometry
JEOPARDY
Thanks for
PLAYING!
Remember to study for the test!
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