TOPICS |
RELATED EXERCISES |
Basic Geometry Concepts
points, lines, planes
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intersecting lines, parallel lines, perpendicular lines
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lines segments, rays
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angles:
adjacent angles, vertical angles
complementary angles, supplementary angles
two parallel lines and a transversal
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circles: center, radius, diameter, chord, circumference
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1, 28
4
30
6, 24, 25, 34, 36, 40,
A9.5, A9.6
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Polygons
definition of polygon
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convex or concave
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triangles
special kinds: scalene, isosceles, equilateral
acute, right, obtuse
angle sum = 180 degrees
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quadrilaterals
special kinds: parallelogram, rectangle, rhombus, square, trapezoid, kite
angle sum = 360 degrees in a convex quadrilateral
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Possible properties of quadrilaterals: parallel sides, bisecting diagonals, congruent angles, perpendicular diagonals, etc.
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Symmetry: lines of symmetry, rotational symmetry
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22, 26, 62
11, 41, A9.10
10b, 19, 36, 43,
A9.8, A9.9
A9.9
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Congruence and Similarity
congruence of segments, angles, polygons
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ways to test congruence for two triangles:
SSS, SAS, ASA, AAS
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Similar triangles
testing by AA
corresponding sides are proportional
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13, 16, 17, 37, 38, 42, 47, 54, 59, 61
39, 43, 56
15, 40, 44, 50, 51, 58a
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Constructions by straightedge and compass (by lines and circles)
how to find the midpoint of a segment, how to bisect an angle, how to find a perpendicular line from a point to a given line
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explaining why these constructions work
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9, 59
A9.4
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Three Dimensional Shapes
prisms and pyramids
right or oblique
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what is a regular polyhedra
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cylinders, cones, and spheres
right or oblique
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