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Scavenger Hunt Proving Figures & Circle Equations

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Presentation on theme: "Scavenger Hunt Proving Figures & Circle Equations"β€” Presentation transcript:

1 Scavenger Hunt Proving Figures & Circle Equations

2 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

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

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

5 D c 13, 3 π‘Ÿ= 45 Inside, Outside, or On Pt (0, 4) Eq: (π‘₯βˆ’3) 2 + 𝑦 2 =25

6 c 4, βˆ’5 π‘Ÿ= 68 Inside, Outside, or On
Pt (-1, -1) Eq: (π‘₯+1) 2 + (π‘¦βˆ’1) 2 =40

7 F PERPENDICULAR Inside, Outside, or On Pt (5, 3) Eq: π‘₯ 2 + 𝑦 2 =30

8 True/False: The point lies on the circle
G (6, βˆ’16) True/False: The point lies on the circle Pt (5, 4) Eq: π‘₯ 2 + (π‘¦βˆ’5) 2 =27

9 True/False: The point lies on the circle
CONGRUENT True/False: The point lies on the circle Pt (-2, 2) Eq: (π‘₯βˆ’1) 2 + (π‘¦βˆ’2) 2 =9

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

11 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)

12 Parallel, perpendicular, or neither
K (π‘₯+16) 2 + (𝑦+5) 2 =5 Parallel, perpendicular, or neither 𝐴𝐡 π‘Žπ‘›π‘‘ 𝐢𝐷 (you must have work) A (4,1) B (6,4) C (12,0) D (10,-3)

13 Parallel, perpendicular, or neither
(π‘₯+3) 2 + (π‘¦βˆ’4) 2 =49 Parallel, perpendicular, or neither 𝐴𝐡 π‘Žπ‘›π‘‘ 𝐢𝐷 (you must have work) A (-3,6) B (3,6) C (3,2) D (-3,-4)

14 Parallel, perpendicular, or neither
M IN Parallel, perpendicular, or neither 𝐴𝐡 π‘Žπ‘›π‘‘ 𝐢𝐷 (you must have work) A (2,-1) B (-1,3) C (4,3) D (-12,-9)

15 What are the slopes for each?
N FALSE What are the slopes for each? 𝐴𝐡 π‘Žπ‘›π‘‘ 𝐢𝐷 (you must have work) A (4,1) B (6,4) C (12,0) D (10,-3)

16 Are the lengths congruent or not congruent for each?
𝐴𝐡 π‘Žπ‘›π‘‘ 𝐢𝐷 (you must have work) A (-5,-3) B (3,5) C (7,1) D (-1,-7)

17 Are the lengths congruent or not congruent for each?
P TRUE Are the lengths congruent or not congruent for each? 𝐴𝐡 π‘Žπ‘›π‘‘ 𝐢𝐷 (you must have work) A (-3,6) B (3,2) C (3,6) D (-3,-4)

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

19 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)

20 Find the center and radius if given two endpoints of a diameter.
𝐴𝐡 = π‘Žπ‘›π‘‘ 𝐢𝐷 = 3 2 Find the center and radius if given two endpoints of a diameter. (you must have work) A (10,-3) B (16,9)

21 Find the center and radius if given two endpoints of a diameter.
(π‘₯βˆ’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)


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