What is the missing reason in the proof? Given: with diagonal Prove:

Statements | Reasons |

1. | 1. Definition of parallelogram |

2. | 2. Alternate Interior Angles Theorem |

3. | 3. Definition of parallelogram |

4. | 4. Alternate Interior Angles Theorem |

5. | 5. ? |

6. | 6. ASA |

A. Reflexive Property of Congruence | |

B. Alternate Interior Angles Theorem | |

C. ASA | |

D. Definition of parallelogram |

Find the values of a and b. The diagram is not to scale.

A. | |

B. | |

C. | |

D. |

Complete this statement: A polygon with all sides the same length is said to be ____.

A. regular | |

B. equilateral | |

C. equiangular | |

D. convex |

Which statement is true?

A. All squares are rectangles. | |

B. All quadrilaterals are rectangles. | |

C. All parallelograms are rectangles. | |

D. All rectangles are squares. |

What is LM?

A. 176 | |

B. 98 | |

C. 88 | |

D. 32 |

Which description does NOT guarantee that a trapezoid is isosceles?

A. congruent bases | |

B. congruent legs | |

C. both pairs of base angles congruent | |

D. congruent diagonals |

Which description does NOT guarantee that a quadrilateral is a square?

A. has all sides congruent and all angles congruent | |

B. is a parallelogram with perpendicular diagonals | |

C. has all right angles and has all sides congruent | |

D. is both a rectangle and a rhombus |

Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?

A. | |

B. | |

C. | |

D. |

and Find The diagram is not to scale.

A. 60 | |

B. 10 | |

C. 110 | |

D. 20 |

WXYZ is a parallelogram. Name an angle congruent to

A. | |

B. | |

C. | |

D. |

The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.

A. | |

B. | |

C. | |

D. |

Which Venn diagram is NOT correct?

A. | |

B. | |

C. | |

D. |

Classify the figure in as many ways as possible.

A. rectangle, square, quadrilateral, parallelogram, rhombus | |

B. rectangle, square, parallelogram | |

C. rhombus, quadrilateral, square | |

D. square, rectangle, quadrilateral |

In the rhombus, Angle **1** = 140. What are Angles** 2** and **3**? The diagram is not to scale.

A. Angle 2 = 40 and Angle 3 = 70 | |

B. Angle 2 = 140 and Angle 3 = 70 | |

C. Angle 2 = 40 and Angle 3 = 20 | |

D. Angle 2 = 140 and Angle 3 = 20 |

Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular 9-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a regular 6-gon, one at each vertex.

A. cannot tell | |

B. less than | |

C. greater than | |

D. equal to |

Lucinda wants to build a square sandbox, but she has no way of measuring angles. Explain how she can make sure that the sandbox is square by only measuring length.

A. Arrange four equal-length sides so the diagonals bisect each other. | |

B. Arrange four equal-length sides so the diagonals are equal lengths also. | |

C. Make each diagonal the same length as four equal-length sides. | |

D. Not possible; Lucinda has to be able to measure a right angle. |

Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?

A. | |

B. | |

C. | |

D. |

Complete this statement: The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____.

A. (n – 2)180 | |

B. 360 | |

C. | |

D. 180n |