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Bellringer. Use the diagram to identify 1 pair of each of the following: -Corresponding angles -Adjacent angles -Vertical angles. click here to P L A Y. Geometry. JEOPARDY. Basic Angles. Triangles. Congruent Triangles. Pythagorean Theorem. Volume. Angle Relationships.

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Presentation Transcript
slide1

Bellringer

Use the diagram to identify 1 pair of each of the following:

-Corresponding angles

-Adjacent angles

-Vertical angles

slide3

Basic

Angles

Triangles

Congruent Triangles

Pythagorean Theorem

Volume

Angle Relationships

GEOMETRY JEOPARDY

$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

Replay

Go to Final Jeopardy

slide6

Basic Angles $200

Which angle is adjacent to ∠ DGC?

a) ∠ FGA

b) ∠ DGE

c) ∠ EGF

d) ∠ AGB

next

slide7

Basic Angles $200

Which angle is adjacent to ∠ DGC?

a) ∠ FGA

b) ∠ DGE

c) ∠ EGF

d) ∠ AGB

$200

slide9
Write and solve an equation to find the measure of angle b.

b + 63 = 90

-63 -63

b = 27˚

Basic Angles $300

$300

slide10
Line l and m are parallel. Angle 8 is congruent to angle 2 because of_____________ ___________ _____________

Basic Angles $400

next

slide11
54

Line l and m are parallel. Angle 8 is congruent to angle 2 because of Alternate Interior Angles

Basic Angles $400

$400

slide12
If line p and line t are parallel, name one pair of corresponding angles.

Basic Angles $500

Line p

Line t

next

slide13
If line p and line t are parallel, name one pair of corresponding angles.

A and E

B and F

C and G

D and H

Basic Angles $500

Line p

Line p

Line t

Line t

$500

slide14
∠x and ∠y are complementary.

∠x = (2w + 8)˚ and ∠y = 14 ˚ What is the measure of ∠x?

Angle Relationships $100

next

slide15
∠x and ∠y are complementary.

∠x = (2w + 8)˚ and ∠y = 14 ˚ What is the measure of ∠x?

Angle Relationships $100

(2w + 8) + 14 = 90

2w + 22 = 90

-22 -22

2w = 68

w = 34

∠x = (2w + 8)˚

∠x = 2(34) + 8

∠x = 68+ 8

∠x = 76˚

$100

slide16
∠h and ∠j are supplementary.

∠h = 123˚ and ∠j = (12+3x)˚ What is the measure of ∠j?

Angle Relationships $200

next

slide17
∠h and ∠j are supplementary.

∠h = 123˚ and ∠j = (12+3x)˚ What is the measure of ∠j?

Angle Relationships $200

(12 + 3x) + 123 = 180

3x + 135 = 180

-135 -135

3x = 45

x = 15

∠j = (12 + 3x)˚

∠j = 12+ 3(15)

∠j = 12+ 45

∠j = 57˚

$200

slide18
Lines l and m are parallel. Angle 6 is supplementary to which angles?

Angle Relationships $300

next

slide19
Lines l and m are parallel. Angle 6 is supplementary to which angles?

∠ 2

∠ 5

∠ 1

∠ 8

Angle Relationships $300

$300

slide21

Angle Relationships $400

Which angles are adjacent?

a) ∠ HIK and ∠JIF

b) ∠ HIK and ∠KIJ

c) ∠ HIK and ∠EFI

d) ∠ HIK and ∠DFG

$400

slide24
What is the missing angle measure?

Triangles $100

49˚

56˚

next

slide25
What is the missing angle measure?

Triangles $100

  • 56 + 49 + X = 180
  • + X = 180
  • X = 75

75˚

49˚

56˚

$100

slide29

Triangles $300

101

101

56

56

124

45

$300

slide31

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

slide33

Triangles $500

50

64

116

64

50

130

116

66

66

130

116

50

64

50

130

116

$500

slide35
Which rule proves that these triangles are congruent?

Congruent Triangles $100

side-angle-side

$100

slide37
Which rule proves that these triangles are congruent?

Congruent Triangles $200

side-side-side

$200

slide38

Congruent Triangles $300

Which rule proves that these triangles are congruent?

A.) angle-side-angle

B.) side-side-angle

C.) side-angle-side

D.) none of the above

next

slide39
-6

Congruent Triangles $300

Which rule proves that these triangles are congruent?

A.) angle-side-angle

B.) side-side-angle

C.) side-angle-side

D.) none of the above

$300

slide40
-10 – (-4) – 3

Congruent Triangles $400

Which rule proves that these triangles are congruent?

A.) angle-side-angle

B.) side-side-angle

C.) side-angle-side

D.) none of the above

next

slide41
-9

Congruent Triangles $400

Which rule proves that these triangles are congruent?

A.) angle-side-angle

B.) side-side-angle

C.) side-angle-side

D.) none of the above

$400

slide42
a = -9, b = 8, c = 1

b – a – c

Congruent Triangles $500

Which rule proves that these triangles are congruent?

A.) angle-side-angle

B.) side-side-angle

C.) side-angle-side

D.) none of the above

next

slide43
16

Congruent Triangles $500

Which rule proves that these triangles are congruent?

A.) angle-side-angle

B.) side-side-angle

C.) side-angle-side

D.) none of the above

$500

slide44
A triangle has sides with lengths of 6 inches, 9 inches and 14 inches. Is it a right triangle?

Pythagorean Theorem $100

next

slide45
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.

Pythagorean Theorem $100

$100

slide46
What is the length of the missing side?

Pythagorean Theorem $200

next

slide47
What is the length of the missing side?

Pythagorean Theorem $200

40 ft

$300

slide48
Find the distance between the two points shown. Round to the nearest tenth.

Pythagorean Theorem $300

next

slide49
Find the distance between the two points shown. Round to the nearest tenth.

4.2 units

Pythagorean Theorem $300

3

3

$100

slide50
What is the length of the missing side?

Pythagorean Theorem $400

next

slide51
What is the length of the missing side?

Pythagorean Theorem $400

15 cm

$400

slide52
Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

Pythagorean Theorem $500

next

slide53
Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

9.4 miles

Pythagorean Theorem $500

$500

slide55
Cylinder:

V = 3.14 x 52x 7

Volume $100

549.5 yd3

$100

slide57
CONE:

V = (1/3) x 3.14 x 42 x 7

Volume $200

117.2 m3

$200

slide59
CYLINDER:

V = 3.14 x 82 x 4

803.8 m3

Volume $300

next

slide61
SPHERE: (radius is 11 cm)

V = (4/3) x 3.14 x 113

5572.5 cm3

Volume $400

$400

slide62
A cone has a height of 3.2 inches and a volume of 53.59 cubic inches.

Find the radius.

Volume $500

next

slide63
Cone:

V = (1/3) x 3.14 x r2 x h

53.59 = (1/3) x 3.14 x r2 x 3.2

53.59 = 3.35 x r2

16 = r2 …so r = 4 inches

Volume $500

$500

slide65
FinalJeopardy

Today’s Category:Pythagorean Theorem

next

slide66
In Mike’s basketball game he ran 9 feet straight out from under the basket. Then he went left 4 feet before running straight back to his original spot under the basket. How far did Mike travel? Round to the nearest tenth.

next

geometry1

Thanks forPLAYING!

Geometry

JEOPARDY

Remember to study for the test!

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