Rules for Special Quadrilaterals and Circles

Question 1

In all trapezoids, the angles that share the same leg are what?

Answer 1

In all trapezoids, the angles that share the same leg are supplementary (add to 180).

Also, the bases of all trapezoids are never equal to one another ad the diagonals do not bisect each other.

Question 2

In isosceles trapezoids, what relationship do the diagonals have with each other as well as those angles that share the same base?

Answer 2

In an isosceles trapezoid, diagonals have the same length and angles that share the same base have equal measure.

Question 3

What relationship do pairs of opposite angles in a parallelogram have?

Answer 3

Both pairs of opposite angles in a parallelogram are equal in measure.

Also, a parallelograms diagonals bisect each other and both pairs of opposite sides are parallel and equal in length.

Question 4

What are the relationships of diagonals and the angles they pass through in a rhombus?

Answer 4

A rhombus’ diagonals bisect each other are are perpendicular to one another. Also, the diagonals bisect the angles through which they pass.

All sides on a rhombus are equal in measure, and opposite sides are parallel to one another.

Opposite angles in a rhombus are equal in measure.

Question 5

What is the longest chord on a circle?

Answer 5

The longest chord on a circle is the diameter

Question 6

What does it mean for shapes to be congruent?

Answer 6

Shapes are congruent if they are identical in size and shape.

Question 7

What does it mean for shapes to be similar?

Answer 7

Shapes are similar if they have the same shape. Similar shapes have corresponding sides in proportion.