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Transcript
Check List for Geometry Final Exam. o Know the Postulates regarding Points, Lines and Planes o Be able to interpret a three dimensional figure drawn on a two dimensional surface o Recognize vertical, adjacent, complementary and supplementary angles in a figure. o Recognize and apply segment addition o Recognize and apply angle addition o Find an angle given information about its complement and/or supplements o Recognize and apply Segment Bisector o Find the midpoint or end point of bisected segment. o Find the distance between two points given the coordinates of the point. o Recognize and apply Angle Bisectors o Pattern recognition o Conditional Converse, Inverse, Contrapostive, Bicondidtional o Make valid conjectures using Laws of Logic (Law of Detachment and Law of Syllogism) o Identify angles formed by two lines cut by transversal. o Know the properties of angles formed by parallel lines and a transversal. o Find x and y to make lines parallel o Find equation of described parallel and perpendicular lines o Recognize and graph lines in slope intercept, point slope and standard forms. o Find the distance between parallel lines o Determine if two given lines are parallel, perpendicular or neither o Determine which line is steeper o Find the slope of a line given either two points on the line or the equation of the line in any form. o Recognize convex and concave polygons. o Find the area of a triangle on a coordinate plane. o Pair up the matching parts of congruent polygons. o Make congruence statements given information about two triangles. o Determining if triangles are congruent or not o Prove triangles congruent o Recognizing which figures are rigid and which are not. o Perform transformations on a coordinate plane both given the original figure or the image after the transformation o Perform multiple transformations on a coordinate plane o Properties of Equilateral and isosceles triangles o Know the properties of the five special segments in triangles: the median, perpendicular bisector, angle bisector, and mid-segment. You have a summary chart of this information) o Be able to determine it two triangles are similar by AA, SAS or SSS and state the similarity statement. o Use proportions to find missing lengths of similar figures o o o o o o o o o o o o o o o o o Set up and solve the proportions formed by lines parallel to a side of triangle. Set up and solve the proportions formed by an angle bisector. Be able to perform a dilation given the center and the ratio. Be able to determine the ratio given a dilation Be able to identify various transformations (translations, rotations, reflections) Use Pythagorean Theorem to determine if a triangle is right, acute or obtuse. Use the Pythagorean Theorem to find the missing side of a right triangle. Determine if three lengths form a triangle When an altitude is drawn to the hypotenuse of a right triangle find the missing sides using proportions formed by the resulting similar triangles. Find missing sides in 45-45-90 and 30-60-90 triangles. Find missing sides or angles in right triangles using the three trig ratios. Find interior and exterior angles of polygons. Know and use the characteristics of various quadrilaterals to find missing dimensions. (You have a summary chart of this information) Know the five ways to prove that a quadrilateral is a parallelogram. Know and use the relationship of angles in a circle and their arcs to find missing angles or arcs. (You have a summary chart of this information) Know the relationship between the lengths of various segments formed by chords, tangents and secants and use them to find missing lengths. (You have a summary chart of this information.) Be able to find the perimeter, area, surface area and volume of figures using your formula sheet.