congruent - Mrs. Durante`s Math Classes
... Warm-Up What are our two definitions of congruent? 1. Two figures that are the same shape are congruent if their corresponding sides and corresponding angles are congruent. ...
... Warm-Up What are our two definitions of congruent? 1. Two figures that are the same shape are congruent if their corresponding sides and corresponding angles are congruent. ...
Trigonometry in a Right angles Triangle
... Let’s Investigate The Tangent ratio The Sine ratio The Cosine ratio The three ratios Extension ...
... Let’s Investigate The Tangent ratio The Sine ratio The Cosine ratio The three ratios Extension ...
Common Curriculum Map Discipline: Math Course: AP Prep Geometry
... 9.A.1b Draw two-dimensional shapes 9.A.2c Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two- and three-dimensions with and without technology. 9.A.3c Use concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and ...
... 9.A.1b Draw two-dimensional shapes 9.A.2c Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two- and three-dimensions with and without technology. 9.A.3c Use concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and ...
Making Squares
... are equal to one of the bigger triangle (they are congruent). That makes sense because the smaller triangles each have an area of ½ and ½ + ½ = 1 which is the area of the bigger triangle The two smaller triangles are congruent. The smaller triangles are similar to the bigger triangle (they are b ...
... are equal to one of the bigger triangle (they are congruent). That makes sense because the smaller triangles each have an area of ½ and ½ + ½ = 1 which is the area of the bigger triangle The two smaller triangles are congruent. The smaller triangles are similar to the bigger triangle (they are b ...
Chapter 5 - Angelfire
... • Show that both pairs of opposite sides are parallel • Show that both pairs of opposite sides are congruent • Show that one pair of opposite sides are both congruent and parallel • Show that both pairs of opposite angles are congruent • Show that the diagonals bisect each other ...
... • Show that both pairs of opposite sides are parallel • Show that both pairs of opposite sides are congruent • Show that one pair of opposite sides are both congruent and parallel • Show that both pairs of opposite angles are congruent • Show that the diagonals bisect each other ...
GEOMETRY QUIZ 1.1 (Part I)
... (2 points) 12. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the ...
... (2 points) 12. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the ...
bat03_ppt_05 - University of South Alabama
... Given the function values of an acute angle, find the function values of its complement. Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley ...
... Given the function values of an acute angle, find the function values of its complement. Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley ...
Supp A - Penn Math
... 3. Sketch three non congruent regions all with area 6. 4. A segment can be thought of as a region in a plane which has zero width. What should the area of a segment AB be, measured in square inches. Explain your reasoning. (Do not resort to some known formula for area!) A4. Measurement of volume Let ...
... 3. Sketch three non congruent regions all with area 6. 4. A segment can be thought of as a region in a plane which has zero width. What should the area of a segment AB be, measured in square inches. Explain your reasoning. (Do not resort to some known formula for area!) A4. Measurement of volume Let ...
Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.