Scavenger Hunt Proving Figures & Circle Equations

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Presentation transcript:

Scavenger Hunt Proving Figures & Circle Equations

Write the equation of a circle with a center (-3, 4) and radius = 7 PARALLEL Write the equation of a circle with a center (-3, 4) and radius = 7

B OUT Write the equation of a circle with a center (4, -2) and a point (-6, 6).

C NOT CONGRUENT Write the equation of a circle with two endpoints of a diameter (-18, -4) & (-14, -6).

D c 13, 3 𝑟= 45 Inside, Outside, or On Pt (0, 4) Eq: (𝑥−3) 2 + 𝑦 2 =25

c 4, −5 𝑟= 68 Inside, Outside, or On Pt (-1, -1) Eq: (𝑥+1) 2 + (𝑦−1) 2 =40

F PERPENDICULAR Inside, Outside, or On Pt (5, 3) Eq: 𝑥 2 + 𝑦 2 =30

True/False: The point lies on the circle G (6, −16) True/False: The point lies on the circle Pt (5, 4) Eq: 𝑥 2 + (𝑦−5) 2 =27

True/False: The point lies on the circle CONGRUENT True/False: The point lies on the circle Pt (-2, 2) Eq: (𝑥−1) 2 + (𝑦−2) 2 =9

Is this a square, rectangle, or neither. (you must have work) A (-2,3) B (3,8) C (8,3) D (3,-2)

Is this a square, rectangle, or neither. (you must have work) J ON Is this a square, rectangle, or neither. (you must have work) A (1,4) B (5,8) C (7,6) D (3,2)

Parallel, perpendicular, or neither K (𝑥+16) 2 + (𝑦+5) 2 =5 Parallel, perpendicular, or neither 𝐴𝐵 𝑎𝑛𝑑 𝐶𝐷 (you must have work) A (4,1) B (6,4) C (12,0) D (10,-3)

Parallel, perpendicular, or neither (𝑥+3) 2 + (𝑦−4) 2 =49 Parallel, perpendicular, or neither 𝐴𝐵 𝑎𝑛𝑑 𝐶𝐷 (you must have work) A (-3,6) B (3,6) C (3,2) D (-3,-4)

Parallel, perpendicular, or neither M IN Parallel, perpendicular, or neither 𝐴𝐵 𝑎𝑛𝑑 𝐶𝐷 (you must have work) A (2,-1) B (-1,3) C (4,3) D (-12,-9)

What are the slopes for each? N FALSE What are the slopes for each? 𝐴𝐵 𝑎𝑛𝑑 𝐶𝐷 (you must have work) A (4,1) B (6,4) C (12,0) D (10,-3)

Are the lengths congruent or not congruent for each? 𝐴𝐵 𝑎𝑛𝑑 𝐶𝐷 (you must have work) A (-5,-3) B (3,5) C (7,1) D (-1,-7)

Are the lengths congruent or not congruent for each? P TRUE Are the lengths congruent or not congruent for each? 𝐴𝐵 𝑎𝑛𝑑 𝐶𝐷 (you must have work) A (-3,6) B (3,2) C (3,6) D (-3,-4)

Q SQUARE Find the midpoint (you must have work) A (26,-18) B (-14,-14)

Find the center and radius if given two endpoints of a diameter. RECTANGLE Find the center and radius if given two endpoints of a diameter. (you must have work) A (6,-13) B (2,3)

Find the center and radius if given two endpoints of a diameter. 𝐴𝐵 = 3 2 𝑎𝑛𝑑 𝐶𝐷 = 3 2 Find the center and radius if given two endpoints of a diameter. (you must have work) A (10,-3) B (16,9)

Find the center and radius if given two endpoints of a diameter. (𝑥−4) 2 + (𝑦+2) 2 =164 Find the center and radius if given two endpoints of a diameter. (you must have work) A (-8,0) B (14,12)