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15 Cards in this Set

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  • Back
What is the radius of a circle? What is the diameter? What is the relationship between the radius and diameter?
The radius (r) of a circle is the distance between the center of the circle and a point on the circle's edge. The diameter (d) of a circle is a line drawn from one point on the edge of a circle to another through the center. The diameter is TWICE as long as the radius.
What is the circumference (C) of a circle? What is the formula for the circumference?
The circumference is the distance around a circle's edge. C=2(pi)r or
C=(pi)d where (pi)is approximately 3.14.
What is the area of a circle?
The area of a circle is found using the formula A=(pi)r² where (pi)=3.14
What are the 3 types of symmetry you may be tested on during the Regents?
1. Line symmetry
2. Rotational symmetry
3. Point symmetry
When does a figure have line symmetry?
A figure has line symmetry when it can be folded across a line in such a way that the two halves of the figure meet perfectly. Each half of the figure is a reflection of the other.
When does a figure have rotational symmetry?
A figure has rotational symmetry when it can be rotated 180° or less without changing its appearance.
When does a figure have point symmetry?
A figure has point symmetry when it can be turned upside down (rotated exactly 180°) without changing its appearance. A figure with point symmetry always has rotational symmetry; however, a figure with rotational symmetry does not necessarily have point symmetry.
What are the 4 basic transformations tested on the Regents?
The 4 basic transformations are: reflection, rotation, translation and dilation.
What is reflection?
Reflection is the act of flipping a figure across a certain line (called the line of reflection). To imagine the effect of reflecting a figure across a given line, imagine that the figure is coated with wet ink and that the paper is being folded along the line of reflection. The print that the figure leaves on the other side of the line is the reflected image of that figure.
What is rotation?
Just what it sounds like! Rotation of a figure occurs within the plane of the page, as though you were actually turning the paper around on a table top. A figure can be rorated through any angle, including an angle of 360° or more.
What is translation?
Translation is a fancy word for sliding. When an image changes its position without rotating or flipping over, that's translation. Translation can take place in any direction.
What is dilation?
Dilation is the growth or shrinkage of a figure. In dilation, a figure does not rotate, and its center does not move. It just gets bigger or smaller.
What are the 5 wasy to prove 2 triangles to be congruent?
1) AAS (Angle-Angle-Side)
2) ASA (Angle-Side-Angle)
3) SAS (Side-Angle-Side)
4) SSS (Side-Side-Side)
5) Hypoteneuse-Leg -- For right triangles only.
What is the Angle-Angle theorem for similarity?
If 2 triangles have 2 angles equal, they are similar.
What does CPCTC stand for? What does it mean?
Corresponding Parts of Congruent Triangles are Congruent. If 2 triangles are congruent, the sides of one are equal to the corresponding sides of the other and the angles of one are equal to the corresponding angles of the other.