Bellringer Use the diagram to identify 1 pair of each of the following: -Corresponding angles -Adjacent angles -Vertical angles.

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Presentation transcript:

Bellringer Use the diagram to identify 1 pair of each of the following: -Corresponding angles -Adjacent angles -Vertical angles

Geometry JEOPARDY click here to PLAY

GEOMETRY JEOPARDY $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 Basic Angles Angle Relationships Triangles Congruent Triangles Pythagorean Theorem Volume 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

Angles a and b are congruent because of _______________ angles Basic Angles $100 next

Angles a and b are congruent because of Vertical angles Basic Angles $100 $100

next Basic Angles $200 Which angle is adjacent to ∠ DGC? a) ∠ FGA b) ∠ DGE c) ∠ EGF d) ∠ AGB next

$200 Basic Angles $200 Which angle is adjacent to ∠ DGC? a) ∠ FGA b) ∠ DGE c) ∠ EGF d) ∠ AGB $200

Write and solve an equation to find the measure of angle b. Basic Angles $300 next

Write and solve an equation to find the measure of angle b. -63 -63 b = 27˚ Basic Angles $300 $300

Line l and m are parallel Line l and m are parallel. Angle 8 is congruent to angle 2 because of_____________ ___________ _____________ Basic Angles $400 next

54 Line l and m are parallel. Angle 8 is congruent to angle 2 because of Alternate Interior Angles Basic Angles $400 $400

If line p and line t are parallel, name one pair of corresponding angles. Basic Angles $500 Line p Line t next

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

∠x = (2w + 8)˚ and ∠y = 14 ˚ What is the measure of ∠x? ∠x and ∠y are complementary. ∠x = (2w + 8)˚ and ∠y = 14 ˚ What is the measure of ∠x? Angle Relationships $100 next

$100 Angle Relationships $100 ∠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

∠h = 123˚ and ∠j = (12+3x)˚ What is the measure of ∠j? ∠h and ∠j are supplementary. ∠h = 123˚ and ∠j = (12+3x)˚ What is the measure of ∠j? Angle Relationships $200 next

$200 Angle Relationships $200 ∠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

Lines l and m are parallel. Angle 6 is supplementary to which angles? Angle Relationships $300 next

Lines l and m are parallel. Angle 6 is supplementary to which angles? ∠ 2 ∠ 5 ∠ 1 ∠ 8 Angle Relationships $300 $300

Angle Relationships $400   next

$400 Angle Relationships $400 Which angles are adjacent?   Which angles are adjacent? a) ∠ HIK and ∠JIF b) ∠ HIK and ∠KIJ c) ∠ HIK and ∠EFI d) ∠ HIK and ∠DFG $400

Angle Relationships $500   next

Angle Relationships $500   $500

What is the missing angle measure? Triangles $100 x˚ 49˚ 56˚ next

What is the missing angle measure? Triangles $100 56 + 49 + X = 180 + X = 180 X = 75 x˚ 75˚ 49˚ 56˚ $100

What is the missing angle measure? Triangles $200 next

What is the missing angle measure? Triangles $200   $200

What is the missing angle measure? Triangles $300   next

Triangles $300 101 101   56 56 124 45 $300

Find the measure of angle M. Triangles $400 next

$400 Triangles $400 So Angle M is 2(29) – 2 or 56 degrees x+5 + 2x-2 + 90 = 180 3x + 93 = 180 3x = 87 x = 29 So Angle M is 2(29) – 2 or 56 degrees $400

What is the missing angle measure? Triangles $500   next

Triangles $500 50 64 116 64 50 130 116 66 66 130 116 50 64 50 130 116 $500

Which rule proves that these triangles are congruent? Congruent Triangles $100 next

Which rule proves that these triangles are congruent? Congruent Triangles $100 side-angle-side $100

Which rule proves that these triangles are congruent? Congruent Triangles $200 next

Which rule proves that these triangles are congruent? Congruent Triangles $200 side-side-side $200

next 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

-6 $300 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

-10 – (-4) – 3 next 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

-9 $400 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

a = -9, b = 8, c = 1 b – a – c next 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

16 $500 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

A triangle has sides with lengths of 6 inches, 9 inches and 14 inches A triangle has sides with lengths of 6 inches, 9 inches and 14 inches. Is it a right triangle? Pythagorean Theorem $100 next

No! the Pythagorean Theorem doesn’t work. 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

What is the length of the missing side? Pythagorean Theorem $200 next

What is the length of the missing side? Pythagorean Theorem $200 40 ft $300

Find the distance between the two points shown Find the distance between the two points shown. Round to the nearest tenth. Pythagorean Theorem $300 next

Find the distance between the two points shown Find the distance between the two points shown. Round to the nearest tenth. 4.2 units Pythagorean Theorem $300 3 3 $100

What is the length of the missing side? Pythagorean Theorem $400 next

What is the length of the missing side? Pythagorean Theorem $400 15 cm $400

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 must travel to return to their starting point? Pythagorean Theorem $500 next

Two joggers run 8 miles north and then 5 miles west 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

Find the volume of this figure. Round to the nearest tenth. next

Cylinder: V = 3.14 x 52 x 7 Volume $100 549.5 yd3 $100

Find the volume of this figure. Round to the nearest tenth. next

CONE: V = (1/3) x 3.14 x 42 x 7 Volume $200 117.2 m3 $200

Find the volume of this figure. Round to the nearest tenth. next

CYLINDER: V = 3.14 x 82 x 4 803.8 m3 Volume $300 next

The soccer ball is 22 cm across in diameter The soccer ball is 22 cm across in diameter. Find its volume to the nearest tenth. Volume $400 next

$400 Volume $400 SPHERE: (radius is 11 cm) V = (4/3) x 3.14 x 113

A cone has a height of 3.2 inches and a volume of 53.59 cubic inches. Find the radius. Volume $500 next

Cone: V = (1/3) x 3.14 x r2 x h 53.59 = (1/3) x 3.14 x r2 x 3.2 16 = r2 …so r = 4 inches Volume $500 $500

Daily Double next

Today’s Category: Pythagorean Theorem Final Jeopardy Today’s Category: Pythagorean Theorem next

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

Mike traveled a total of 22.8 feet. 4 ft 9 ft 9.8 ft next

Geometry JEOPARDY Thanks for PLAYING! Remember to study for the test!