Geometry
PrintThe high school Geometry domain spans Congruence, Similarity and Right Triangles, Circles, Expressing Geometric Properties with Equations, Geometric Measurement and Dimension, and Modeling with Geometry. Proof and transformation are central: congruence and similarity are defined through rigid motions and dilations. Trigonometric ratios appear here in right triangle contexts, with deeper trigonometric function work covered in the Functions domain.
Example Problems
Convert the angle to radians.
Express your answer exactly.
Express your answer exactly.
A sequence of transformations is described below.
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
Consider the following problem:
A savings account balance is growing at a rate of dollars per year (where is the time in years). At year , the balance is $5,500. How much money will be in the account at year ?
Write an expression that can be used to solve the problem.
A savings account balance is growing at a rate of dollars per year (where is the time in years). At year , the balance is $5,500. How much money will be in the account at year ?
Write an expression that can be used to solve the problem.
Point M is the midpoint of point A and point B. Find the coordinates of point B.
A solid cube of iron has edges long. Given that the density of iron is , what is the cube's mass?
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