Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Shape of the universe wikipedia , lookup
Multilateration wikipedia , lookup
Trigonometric functions wikipedia , lookup
Integer triangle wikipedia , lookup
Cartan connection wikipedia , lookup
Analytic geometry wikipedia , lookup
Algebraic geometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Geometrization conjecture wikipedia , lookup
Line (geometry) wikipedia , lookup
#1 Geometry – Hustle VBHS Invitational 2016 #4 Geometry – Hustle VBHS Invitational 2016 In a coordinate plane, BC has an endpoint (2, -7) and a midpoint of (5, -3). What is the coordinate pair of the other endpoint? (5+(5-2), -3+(-3+7)) = Answer : __(8, 1)___________ #2 Geometry – Hustle VBHS Invitational 2016 Find the length of the side labeled ?. Give the perimeter of the triangle. Solve for m. Give the value of the largest angle in Triangle PEQ. 26m-2=180 m=7 15(7)+17=122 degrees Answer : 122 degrees #5 Geometry – Hustle VBHS Invitational 2016 By using Pythagorean Theorem, you find the hypotenuse to be 10 inches. 6+8+10 inches = 24 inches. Answer : __24 inches___________ #3 Geometry – Hustle VBHS Invitational 2016 Find x. Because they are both isosceles, and they share a vertical angle, x is 68 degrees as well. Answer : 68 degrees Answer : __SAS___________ #6 Geometry – Hustle VBHS Invitational 2016 #8 Geometry – Hustle VBHS Invitational 2016 Classify the given polygon. Figure may not be drawn to scale. Only use given information to determine. You must be as specific as possible! If Lines FG and HI are parallel, and Angle AEB is 88 degrees, find the measure of angle BAE. Because Angles GBE and DCE are Same-Side Interior Angles, their sum is 180 degrees. That helps us write the equation: 4x+20=180; x=40. That makes Angle GBE = 140 degrees. Because it is a linear pair with ABE, that angle is 40 degrees. AEB is given to be 88 degrees, so the third interior angle of the triangle will be: 180-88-40=52 Answer : 52 degrees #7 Geometry – Hustle VBHS Invitational 2016 Find the perimeter of the figure: Because there are no sides or angles marked congruent, we must conclude this is a Quadrilateral. Answer : Quadrilateral #9 Geometry – Hustle VBHS Invitational 2016 x=180-62=118 x=118, y=62, z=118 Answer : 298 #10 Geometry – Hustle VBHS Invitational 2016 6 in x in 24 in The only missing side can be found by using Pythagorean Theorem: 𝑥 2 + 62 = 102 ; x=8. 8+13+10+19=50 feet Answer : ___50__________ 20 in In the triangle above, what is the value of x? 30 20+𝑥 = 𝑥 30𝑥 = 6(20 + 𝑥) 6 120 30𝑥 − 6𝑥 = 120 𝑥 = 24 Answer : ___5__________ #11 Geometry – Hustle VBHS Invitational 2016 Segment FG has endpoints at F(7, -6) and G(3, 2). Find the midpoint H on FG. #15 Geometry – Hustle VBHS Invitational 2016 Classify the following polygon EHGF: 7 + 3 −6 + 2 , ) 2 2 Answer : ____(5, -2)_________ ( #12 Geometry – Hustle VBHS Invitational 2016 What is the perimeter of the rectangle formed by the dashed lines? The length of the rectangle is 10-3-3=4 The width of the rectangle is 15-3-3=9 4+9+4+9=26 cm Answer : 26 (units not required) #13 Geometry – Hustle VBHS Invitational 2016 Find the slope of a line that passes through the points (1, 8) and (7, 3). 3−8 7−1 −5 Answer : __ 6 ___________ #14 Geometry – Hustle VBHS Invitational 2016 Find the slope of a line perpendicular to Line AB. The quadrilateral has one pair of opposite sides parallel and the lengths of the two legs are congruent. Answer : Isosceles Trapezoid #16 Geometry – Hustle VBHS Invitational 2016 AB and AC are opposite rays. AD bisects BAE. EAD =36. Find EAC . E D ? 36 36 B A C 180-36-36= Answer : ___108__________ Round 1 2 3 4 5 mAB=7/7=1 Mperpendicular = -1 #17 Geometry – Hustle VBHS Invitational 2016 You are cutting out a triangular piece of paper for your art project. The rectangular piece of paper is 10 inches in height by 8 inches wide. What is the largest possible perimeter of the triangle? Right Triangle where the cut is the diagonal of the rectangle: √164 = 2√41 by Pythagorean Theorem. Answer : ___-1__________ Answer : 2√41 + 18 #18 Geometry – Hustle VBHS Invitational 2016 Write the equation in standard form for a line x y 1 3 that is perpendicular to and passes through the point (4, 2). 𝑦 − 2 = −3(𝑥 − 4) Answer : __𝑦 = −3𝑥 + 14___________ #19 Geometry – Hustle VBHS Invitational 2016 Choose the statement that is always true. For a parallelogram, . A. B. C. D. The diagonals are congruent The diagonals bisect each other All four sides are congruent All four angles are congruent Answer : __B___________ #20 Geometry – Hustle VBHS Invitational 2016 If two polygons are similar, then the corresponding sides must be A. B. C. D. Equal Congruent Proportional Not enough information is given Answer : ___C__________ Round . 1 2 3 4 5