Vocabulary
Transformations
Symmetry
Parallel vs. Perpendicular
Circles: Arcs and Sectors
100
An exact position or location in a given plane.
What is a Point?
100
Triangle ABC contains the following points: A(1,-3), B(0,0), and C (-1,-1). The triangle is translated 7 units to the left. What are the coordinates of A'B'C'?
A' = (-6,-3) B' = (-7,0) C' = (-8,-1)
100
Each half of an object is a reflection, or mirror image, of the other half.
What is Line Symmetry?
100
The slope of a line parallel to line y = 1/4x + 6.
What is 1/4?
100
An angle whose vertex is the center of the circle.
What is a central angle?
200
Lines in plane that either do not share any points and never intersect, or share all points. They have the same slope.
What are Parallel Lines?
200
Triangle TOM contains the following points: T(2,3), O(3,7), and M(4,3). The triangle is rotated 180 degrees clockwise, then translated three units right and four units down. What are the new coordinates of T'O'M'?
T' = (1,-7) O' = (0,-11) M' = (-1,-7)
200
The number of lines of symmetry in a square.
What is four?
200
Slope of a line perpendicular to line y = 7/8x + 2.
What is -8/7?
200
An area bounded by a central angle and its intercepted arc.
What is a sector?
300
Two lines that intersect at a right angle. The slopes are negative reciprocals.
What are Perpendicular Lines?
300
Triangle JOE contains the following points: J(3,3), O(6,5), and E(-1,4). The triangle is dilated by a factor of 1/2. What are the new coordinates of J'O'E'?
J' = (3/2,3/2) or (1.5,1.5) O' = (3,5/2) or (3,2.5) E' = (-1/2,2) or (-0.5,2)
300
A shape that has infinitely many lines of symmetry.
What is a circle?
300
The slope of a line parallel to the line that passes through the points (4,4) and (3,7).
What is -3?
300
Circle E contains Line ED and Line EF, which form a 230 degree angle, and both have a length of 6 ft. What is the length of Arc DF, in terms of π? *If needed, ask Sam for an illustration.
23/3 π ft.
400
A relationship where each point in a set of points is mapped to exactly one other point.
What is one-to-one?
400
Quadrilateral MIKE contains the following points: M(4,0), I(5,6), K(10,6), and E(9,0). The quadrilateral is rotated 90 degrees counterclockwise, then reflected over the x-axis. What are the new coordinates of M'I'K'E'?
M' = (0,4) I' = (6,5) K' = (6,10) E' = (0,9)
400
The number of lines of symmetry in a hexagon.
What is six?
400
The slope of a line perpendicular to the line that passes through the points (0,4) and (3,6).
What is -3/2?
400
Circle P contains Line PO and Line PQ, which intersect to form a 90 degree angle, and both have a length of 5 m. What is the length of Arc OQ, rounded to the nearest tenth? *If needed, ask Sam for an illustration.
7.9 m.
500
A transformation whose image and preimage are congruent.
What is isometry?
500
Quadrilateral STAN contains the following points: S(1,1), T(5,1), A(5,-3), and N (1,-3). The quadrilateral is reflected across the y-axis, rotated 90 degrees clockwise, and translated 2 units up. What are the new coordinates of S'T'A'N'?
S' = (-1,1) T' = (-1,-3) A' = (3,-3) N' = (3,1)
500
The number of lines of symmetry in a square + the number of lines of symmetry in a regular octagon
What is 12?
500
In Rectangle ABCD, Side AB has a slope of -5/3. Find the slope of Side BC.
What is 3/5?
500
Circle A contains Line SA and Line AM, which intersect to form a 170 degree angle and both have a length of 3 yd. What is the area of Sector SM, rounded to the nearest tenth? *If needed, ask Sam for an illustration.
13.4 yd^2.
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