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# High School: Geometry

## Creating Right Triangles

Directions: Fill in the empty blanks so that you create a right triangle from the vertex (2,3). You can use whole numbers 1 through 9, but can only use a number once: (__,__)and(__,__) Source: Bryan Anderson

## Transformations – Shortest Sequence

Directions: What is the fewest number of transformations needed to take pre-image ABCD to image A’B’C’D’? Source: Robert Kaplinsky

## Transformations – Three Sequences

Directions: List three sequences of transformations that take pre-image ABCD to image A’B’C’D’. Source: Robert Kaplinsky

## Equations of Perpendicular Lines

Directions: Fill in the empty spaces choosing any whole numbers 1 through 9, but only using each number at most once, so that you create two distinct perpendicular lines.  Note that the coefficient for the second line’s y is negative. __ x + __ y = __ __ x + -__ y = __ Source: Bryan Anderson

## Equations of Parallel Lines

Directions: Fill in the empty spaces so that you create two distinct parallel lines. You can choose any whole number 1 through 9, but can only use a number once. __ x + __ y = __ __ x + __ y = __ Source: Bryan Anderson

## Equidistant Points 2

Directions: Fill in the empty blanks with whole numbers 1 through 9, using each number at most once, so that you create two points equidistant from (4,-1). Source: Bryan Anderson

## Equilateral Triangle Side Length

Directions: What is the side length of an equilateral triangle that has an area of 5 square units? Source: Robert Kaplinsky

## How Many Squares?

Directions: How many squares are shown in the diagram below? Source:  This problem was found in the Fifth Edition Elementary Geometry for College Students by Alexander and Koeberlein