# Lesson 4 It’s All in Your Head Solidify Understanding

### 1.

Definitions of a given polygon are not always the same as the attributes of the polygons. For each of the polygons listed, fill in either the definition or at least two attributes of the polygon that are not part of the definition.

Polygon | Definition | Attributes |
---|---|---|

Regular Hexagon | Can tessellate the plane without any other polygon. Has six lines of reflective symmetry. | |

Rectangle | A quadrilateral with four right angles. | |

Rhombus | Diagonals are perpendicular. Diagonals bisect the angles of the rhombus. | |

Square | A quadrilateral with four congruent sides and four right angles. |

For problems 2 and 3, fill in the graphic organizers using all of the types of quadrilaterals which can be classified as parallelograms (square, rhombus, rectangle, and parallelogram). Provide an explanation based on the attributes of the parallelograms as to why you organized things the way you did.

### 2.

### 3.

### 4.

Based on the given information, select and order the geometric statements that will result in each of the conclusions that is desired to be proven. Create three charts, one for each of the conclusions. Be sure that your reasoning represents a logical flow. Add justifications along the way.

For each pair of triangles write a congruence statement. Justify your statement by identifying the congruence pattern you used. Then, justify that the triangles are congruent by connecting corresponding vertices of the pre-image and image with line segments.

Describe the relationship between the line segments.