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Download Objective 3 Page 1 of 4 Complementary/Supplementary Angles
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Transcript
Objective 3 Page 1 of 4 Complementary/Supplementary Angles: Complementary angles are two angles that add to 90°. Supplementary angles are two angles that add to 180°. Ex. 60° + 30° = 90°, so these angles are complementary. Ex. 120° + 60° = 180°, so these angles are supplementary. Classifying Quadrilaterals: Quadrilaterals are parallelograms if they have two pairs of parallel sides. rectangle Has 4 right angles (90 degrees) and all the sides are the same length. A square is also a rhombus. 4 sides 4 congruent sides 4 angles right angle (90 degrees) Has 4 angles that are usually not right angles Has 4 right angles (90 (90 degrees), but can degrees) and the sides be. The sides are the do not have to be the same length. same length. 4 sides 4 sides 4 congruent sides 4 angles opposite angles are congruent opposite sides are congruent 4 angles right angle (90 degrees) Quadrilaterals that are NOT parallelograms trapezoid kite 4 sides 4 sides one pair of parallel sides 4 angles two pairs of congruent adjacent sides 4 angles Objective 3 Page 2 of 4 Classifying Solids: Solid: Polyhedron: Faces: Prism: Pyramid: a three-dimensional figure that encloses a part of space. a solid that is enclosed by polygons (closed figures). Polygons that form polyhedrons. a polyhedron with two congruent bases that lie in parallel planes and whose other faces are rectangles. A prism is named by the shape of the base. is a polyhedron with one base and whose other faces are triangles. A pyramid is named by the shape of the base Cylinder: is a solid with two congruent circular bases that lie in parallel planes. Cone: is a solid with one circular base. Sphere: is a solid formed by all points in space that are the same distance from a fixed point called the center. Edges: The segments where faces meet. Vertex: of a polyhedron is a point where three or more edges meet. Objective 3 Page 3 of 4 Locating Points on the Coordinate Plane: A plane is a flat surface that has no boundaries. A coordinate plane has an x-axis and a y-axis. Every point on the plane is represented by two numbers relative to the x and y axes. The x-axis looks exactly like a number line (horizontally). The y-axis also represents a number line (vertically). In the upward direction are the positive numbers. In the downward direction are the negative numbers. The origin is where the x-axis and y-axis meet. An example of a coordinate plane would look like this... In order to "read" the points, we read the "x" number first then the "y" number. Point a is to the right (positive) 3 on the x-axis and up (positive) 4 on the y-axis. The coordinates for point a would be written (3, 4). Point b is to the right (positive) 2 on the x-axis and down (negative) 3 on the y-axis. The coordinates for point b would be (2, -3). Point c does not go to the left or to the right on the x-axis. This is considered 0. Point c goes down (negative) 5 on the y-axis. The coordinates for point c would be (0, -5). Point d is to the left (negative) 5 on the x-axis and does not go up or down on the y-axis. This is considered 0. The coordinates for point d would be (-5, 0). Point e is to the left (negative) 2 on the x-axis and up (positive) 1 on the y-axis. The coordinates for point e would be written (-2, 1). Objective 3 Page 4 of 4 Transformations: Rotation about a fixed point: the t on the graph. (TURN) Reflection across a line . (FLIP) Translation is a move across a plane. Need to give both vertical and horizontal direction. (SLIDE) Dilation is a change in size that results in a similar figure. The scale factor from one figure to the other is the number you multiply one figure by to get to the other. Enlargement : The figure is bigger than the original. The scale factor is greater than 1. The picture to the left is an enlargement. Reduction: The figure is smaller than the original. The scale factor is between 0 and 1.