# Congruence

## Transformations

Directions: Given triangle ABC with vertices (-8,2), (-2,2), and (-2, 8), create triangle DEF in quadrant one that uses a translation, rotation, and reflection (in any order) to take that triangle to triangle ABC and show congruence. Source: Jon Henderson

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## Line of Reflections on Isosceles Triangles

Directions: How many ways can you determine the location of the line of reflection for isosceles triangle XYZ that maps Point X to Point Z? Source: Irvine Math Project, Nanette Johnson, and Robert Kaplinsky.

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## Create Squares

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a square with one of the vertices at (2,3). Source: John Mahlstedt

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## 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

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## Transformations – Three Sequences

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

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## 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

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## Is the Quadrilateral a Kite?

Directions: What is the least number of geometric markings to show that a quadrilateral is a kite? Source: Nanette Johnson

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## Is the Quadrilateral a Square?

Directions: What is the least number of geometric markings needed to demonstrate that a quadrilateral is a square? Source: A collaborative effort of Jose De La Torre and Nanette Johnson answer by Ricardo Navarro with help from Robert Kaplinsky

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