The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain. |
b. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles |

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? |
c. 41 units |

What is the approximate side length of the square? |
c. 4.2 units |

The perimeter of square JKLM is 48 units. What is the value of x? |
b. 9 |

Rectangle PQRS is shown with its diagonals, PR and QS. What type of triangle is STR? |
c. isosceles triangle |

Which statements are true of all squares? Check all that apply. |
The diagonals are perpendicular. The diagonals are congruent to each other. The diagonals bisect the vertex angles. The diagonals bisect each other. |

Consider the diagram and proof below. |
d. consecutive <s in a ~~ are supplementary |

Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus. |
b. AMB ~ CMB ~ CMD ~ AMD |

The figure shown is a rhombus. Which equation is true regarding the angles formed by the diagonals and sides of the rhombus? |
a. x + y = z |

A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. Each diagonal of the square window measures 9 inches. |
a. 43.5 inches |

ABCD is a square. |
d. 13 units |

The figure is a square. Its diagonals meet to form four right angles. What is the approximate value of x? |
d. 5.7 units |

A quilt piece is designed with four congruent triangles to form a rhombus so that one of the diagonals is equal to the side length of the rhombus. Which measures are true for the quilt piece? Check all that apply. |
a = 60° The perimeter of the rhombus is 16 inches. The length of the longer diagonal is approximately 7 inches. |

Rhombus LMNO is shown with its diagonals. The length of LN is 28 centimeters. What is the length of LP? |
c. 14 cm |

# Special Parallelograms

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