The diagonals of an isosceles trapezoid are congruent.
In a parallelogram, the opposite angles are congruent.
In a parallelogram, the consecutive (adjacent) angles are congruent.
The diagonals of a rectangle are perpendicular.
The diagonals of a rhombus are perpendicular.
The diagonals of a trapezoid are congruent.
Each property matches one quadrilateral. Match the property with the most general quadrilateral that it satisfies. By "most general", this means highest quadrilateral on the hierarchy that satisfies the condition.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Rhombus | arrow_right_alt | A quadrilateral with opposite angles congruent. |
Rectangle | arrow_right_alt | A parallelogram with diagonals that are congruent, perpendicular, and bisected. |
Square | arrow_right_alt | An equilateral quadrilateral. |
Parallelogram | arrow_right_alt | An equiangular quadrilateral. |
The number of triangles formed in a decagon when all the diagonals are drawn from one vertex is _________.
The sum of the measures of the interior angles of a decagon is __________ degrees.
In a regular decagon, each interior angle has measure _________ degrees.
The sum of the measures of the exterior angles of a decagon is __________ degrees.
In a regular decagon, each exterior angle has measure _________ degrees.
If the measure of one exterior angle of a regular polygon is 24 degrees, then the polygon has _______ sides.
Use this "Show Your Work" space to represent your thinking for #15-17.
Use the quadrilateral above to solve for x.
x = ________
Use the quadrilateral above to solve for y.
y = ________
Use the quadrilateral above to solve for a.
a = ________
Use this "Show Your Work" space to represent your thinking on #19-22.
Use the quadrilateral above to solve for x.
Use the quadrilateral above to solve for y.
Use the quadrilateral above to solve for a.
Use the quadrilateral above to solve for b.
Use this "Show Your Work" space to represent your thinking on #24-27.
Use the quadrilateral above to solve for a.
Use the quadrilateral above to solve for b.
Use the quadrilateral above to solve for c.
Use the quadrilateral above to solve for d.