Kite and Trapezoid Properties

Author:: April Rose Carter

Topic:: Geometry, Kite, Polygons, Quadrilaterals, Trapezoid

Kite Properties

Drag and drop the vertices of the kite to investigate its properties. Then answer the questions below.

1.)

The red angles are vertex angles. The blue angles are non-vertex angles. Select the correct pair of statements.

Select all that apply

A
Non-vertex angles are congruent. Vertex angles are not necessarily congruent.
B
Vertex angles are congruent. Non-vertex angles are not necessarily congruent.
C
Non-vertex angles are not necessarily congruent. Vertex angles are not necessarily congruent.
D
Non-vertex angles are congruent. Vertex angles are congruent.

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2.)

The diagonals of a kite create angles that are:

Select all that apply

A
parallel.
B
half the value of the non-vertex angles.
C
perpendicular.
D
half the value of the vertex angles.

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3.)

The diagonal connecting the _________________ of a kite is the ____________________ the other diagonal.

Select all that apply

A
non-vertex angles, bisector of
B
vertex angles, bisector of
C
non-vertex angles, same as
D
vertex angles, same as

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4.)

Which statement appears to be true?

Select all that apply

A
The vertex angles of a kite are bisected by the diagonal.
B
The non-vertex angles of a kite are bisected by the diagonal.
C
Opposite angles of a kite are congruent.
D
The angles on both sides of each diagonal are congruent.

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Trapezoid Properties

Drag and drop the vertices and sides of the trapezoid to investigate its properties. Then answer the questions below.

5.)

The red sides are bases. The purple angles are a set of base angles. The green angles are a set of base angles. Select the true statement.

Select all that apply

A
Base angles of a trapezoid are complementary.
B
Base angles of a trapezoid are supplementary.
C
Consecutive angles between the bases of a trapezoid are complementary.
D
Consecutive angles between the bases of a trapezoid are supplementary.

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6.)

In the trapezoid shown, AD = BC. What kind of trapezoid is this?

7.)

Which statement is true?

Select all that apply

A
The base angles of any trapezoid are congruent.
B
The base angles of any isosceles trapezoid are congruent.
C
The base angles of isosceles trapezoids are sometimes congruent.

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8.)

Which statement is also true?

Select all that apply

A
The diagonals of a trapezoid bisect each other.
B
The diagonals of an isosceles trapezoid bisect each other.
C
The diagonals of a trapezoid are congruent.
D
The diagonals of an isosceles trapezoid are congruent.

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Kite and Trapezoid Properties

Kite Properties

1.)

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3.)

4.)

Trapezoid Properties

5.)

6.)

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