

SelfCheck Quizzes—Standards Practice
SelfCheck Quizzes
randomly generates a selfgrading quiz correlated to each
lesson in your textbook. Hints are available if you need extra
help. Immediate feedback that includes specific page references
allows you to review lesson skills. Choose a lesson from the
list below. 
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Version 

Student Edition Lesson(s) 
1.0 

Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. 

11, 12, 13, 23, 41, 152 
2.0 

Students write geometric proofs, including proofs by contradiction. 

55, 56, 83, 84, 111, 112, 145, 153, 154, 155, 156 
3.0 

Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement. 

11, 14, 151, 152 
4.0 

Students prove basic theorems involving congruence and similarity. 

23, 36, 54, 55, 56, 92, 93, 153, 154, 155, 156 
5.0 

Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. 

54, 55, 56, 65, 93, 94, 153, 155 
6.0 

Students know and are able to use the triangle inequality theorem. 

74 
7.0 

Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 

42, 43, 44, 81, 82, 83, 84, 85, 94, 95, 96, 111, 112, 113, 114, 115, 116, 153, 155, 156 
8.0 

Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 

16, 97, 103, 104, 105, 115, 116, 122, 123, 124, 125, 126 
9.0 

Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders. 

122, 123, 124, 125, 126 
10.0 

Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. 

16, 103, 104, 105, 133 
11.0 

Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. 

97, 103, 104, 125, 127 
12.0 

Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. 

51, 52, 64, 72, 73, 81, 93, 94, 95, 101, 102 
13.0 

Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. 

102, 153, 155 
14.0 

Students prove the Pythagorean theorem. 

66 
15.0 

Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. 

66, 67 
16.0 

Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. 

15, 23, 32, 33, 37, 44, 55, 61, 62, 105, 114 
17.0 

Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles. 

46, 146, 156 
18.0 

Students know the definitions of the basic trigonometric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships between them. For example, tan(x) = sin(x)/cos(x), (sin(x))^{2} + (cos(x))^{2} = 1. 

134, 135 
19.0 

Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. 

134, 135 
20.0 

Students know and are able to use angle and side relationships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles. 

132, 133 
21.0 

Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. 

113, 114, 141, 142, 143, 144, 145 
22.0 

Students know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections. 

53, 163, 164, 165 


