* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Chapter 3 Review - Ithaca Public Schools
Analytic geometry wikipedia , lookup
Rotation formalisms in three dimensions wikipedia , lookup
Projective plane wikipedia , lookup
Lie sphere geometry wikipedia , lookup
Technical drawing wikipedia , lookup
Perspective (graphical) wikipedia , lookup
History of geometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Complex polytope wikipedia , lookup
Multilateration wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
Integer triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Line (geometry) wikipedia , lookup
Name: ___________________________ Geometry A - Chapter 3 Review Chapter 3 The words below may be used to complete most of the blanks. Some terms may be used more than once, some not at all, and not all of the blanks may be completed using one of the terms below. You are responsible on the final to be familiar with all of these terms even if they are not used in this exercise. In addition, you may need to look up certain formulas to fill certain blanks: Acute Triangle Concave Polygon Equiangular Triangle Equilateral Polygon Isosceles Triangle Polygon Right Triangle Scalene Triangle Transversal Alternate Exterior Angles Convex Polygon Equiangular Polygon Exterior Angle of a Polygon Obtuse Triangle Regular Polygon Same-Side Exterior Angles Slope-Intercept Form Two-Column Proof Alternate Interior Angles Corresponding Angles Equilateral Triangle Flow Proof Point-Slope Form Remote Interior Angles Same-Side Interior Angles Standard Form In a triangle, an angle is either ___________________________, ___________________________ or ___________________________. A ___________________________ angle measures between 90 and 180 degrees. When two coplanar lines are cut by a transversal, two angles that are in similar positions on the same side of that transversal are called ___________________________. The measure of an ___________________________ angle of a triangle is equal to the sum of the measures of its two ___________________________. A polygon is ___________________________ if no diagonal contains point outside the polygon. An ___________________________ polygon has all angles congruent. A ___________________________ is both equiangular and equilateral. The linear equation y-3 = 4(x+5) is written in ___________________________ form. From the ___________________________ form of a linear equation, you can easily read the value of the slope and the value of the y-intercept. When two coplanar lines are cut by a transversal, the angles between the two lines and on opposite sides of the transversal are called ___________________________. The angles outside the two lines and on opposite sides of the transversal are called ___________________________. Angles formed inside the two lines on the same side of the transversal are called ___________________________. Those on the same side and outside the lines are called ___________________________. Page 1 - 11/15/2010 Name: ___________________________ Geometry A - Chapter 3 Review A ___________________________ is a line that intersects two coplanar lines at two distinct points. If the two lines are parallel, then corresponding angles are ___________________________, alternate interior angles are ___________________________, same side interior angles are ___________________________, alternate exterior angles are ___________________________, and same side exterior angles are ___________________________. (From the previous chapters, don't forget that vertical angles are ___________________________ and linear pairs are ___________________________.) Of course, the converses of the above theorems and postulates are also true. If two coplanar lines are cut by a transversal, then the lines are parallel if corresponding angles are ___________________________, or if alternate interior angles are ___________________________, or if same side interior angles are ___________________________, or if same side exterior angles are ___________________________, or if alternate exterior angles are ___________________________. Major theorems state that: (Theorem 3-9) Two lines parallel to the same line are ___________________________ (Theorem 3-10) In a plane, two lines perpendicular to the same line are ___________________________. (Theorem 3-11) In a plane, a line perpendicular to one of two parallel lines, is also ___________________________ to the other. We also learned from this chapter certain true statements about the angles of triangles. First, the sum of the angles of any triangle is ___________________________ (the triangle angle sum theorem). Also, in a triangle, an exterior angle's measure is equal to the sum of the two ___________________________ of the triangle. Page 2 - 11/15/2010 Name: ___________________________ Geometry A - Chapter 3 Review A ___________________________ is a closed plane figure with at least ___________________________ sides. To name a polygon, start at any vertex and list the vertices consecutively around the polygon. A polygon is is ___________________________ if no diagonal contains points outside the polygon. (A ___________________________ is a line segment that joins two vertices of a polygon that is not also a side of the polygon.) Otherwise, the polygon is ___________________________. An ___________________________ has all sides congruent. An ___________________________ has all angles congruent. And a ___________________________ has both congruent sides and angles. A major formula for the angles of a polygon are the total of the interior angles of a n-gon is ___________________________. The total of the exterior angles, one at each vertex, is always ___________________________. Polygons of 3, 4, 5, 6, 7, 8, and 10 sides are called ___________________________, ___________________________, ___________________________, ___________________________, ___________________________, ___________________________ and ___________________________, respectively. Finally, lines with the same slope are ___________________________. If lines are perpendicular, then their slopes ___________________________. Since (for the most part) we are studying Euclidean Geometry: Through any two points there is exactly ___________________________ line. There exists exactly ___________________________ line parallel to a given line through a given point not on that line. If two distinct lines intersect, the cross at exactly ___________________________ point. Through any ___________________________ non-collinear points there is exactly 1 plane. Page 3 - 11/15/2010 Name: ___________________________ Geometry A - Chapter 3 Review Page 4 - 11/15/2010 Name: ___________________________ Geometry A - Chapter 3 Review Page 5 - 11/15/2010