Kite and Trapezoid Properties

Kite Properties

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

1.)

[b][color=#ff0000]The red angles are vertex angles. [/color][/b][br][b][color=#0000ff]The blue angles are non-vertex angles. [/color][/b][br][br]Select the correct pair of statements.

Non-vertex angles are congruent. [br]Vertex angles are congruent. Non-vertex angles are not necessarily congruent. [br]Vertex angles are not necessarily congruent. Non-vertex angles are congruent. [br]Vertex angles are not necessarily congruent. Vertex angles are congruent. [br]Non-vertex angles are not necessarily congruent.

2.)

The diagonals of a kite create angles that are:

perpendicular. half the value of the vertex angles. half the value of the non-vertex angles. parallel.

3.)

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

vertex angles, same as non-vertex angles, bisector of non-vertex angles, same as vertex angles, bisector of

4.)

Which statement appears to be true?

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

Trapezoid Properties

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

5.)

[color=#ff0000][b]The red sides are bases.[/b][/color][br][b][color=#9900ff]The purple angles are a set of base angles.[/color][/b][br][b][color=#38761d]The green angles are a set of base angles.[/color][/b][br][br]Select the true statement.

Consecutive angles between the bases of a trapezoid are complementary. Base angles of a trapezoid are complementary. Consecutive angles between the bases of a trapezoid are supplementary. Base angles of a trapezoid are supplementary.

6.)

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

7.)

Which statement is true?

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

8.)

Which statement is also true?

The diagonals of an isosceles trapezoid are congruent. The diagonals of a trapezoid are congruent. The diagonals of an isosceles trapezoid bisect each other. The diagonals of a trapezoid bisect each other.

Kite and Trapezoid Properties

Kite Properties

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Trapezoid Properties

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Information: Kite and Trapezoid Properties