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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 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 next Basic Angles $100 Angles a and b are congruent because of Vertical angles $100 Basic Angles $200 Which angle is adjacent to ∠ DGC? a) ∠ FGA b) ∠ DGE c) ∠ EGF d) ∠ AGB next Basic Angles $200 Which angle is adjacent to ∠ 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_____________ ___________ _____________ next 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 next 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? next 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? next 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 adjacent? 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˚ next 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? next 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 must travel to return to their 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 must travel to return to their 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. next Volume CYLINDER: V = 3.14 x 803.8 2 8 x4 3 m next $300 Volume $400 The soccer ball is 22 cm across in diameter. Find its volume to the nearest tenth. next Volume $400 SPHERE: (radius is 11 cm) 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. Find the radius. 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 next 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 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!