Kite and Trapezoid Properties

Зохиогч:April Rose Carter

Сэдэв:Геометр, Дөрвөн өнцөгт, Трапецийн

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.

Бүх хариултаа тэмдэглэнэ үү

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.

Миний хариултыг шалга (3)

2.)

The diagonals of a kite create angles that are:

Бүх хариултаа тэмдэглэнэ үү

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

Миний хариултыг шалга (3)

3.)

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

Бүх хариултаа тэмдэглэнэ үү

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

Миний хариултыг шалга (3)

4.)

Which statement appears to be true?

Бүх хариултаа тэмдэглэнэ үү

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.

Миний хариултыг шалга (3)

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.

Бүх хариултаа тэмдэглэнэ үү

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.

Миний хариултыг шалга (3)

6.)

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

7.)

Which statement is true?

Бүх хариултаа тэмдэглэнэ үү

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.

Миний хариултыг шалга (3)

8.)

Which statement is also true?

Бүх хариултаа тэмдэглэнэ үү

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.

Миний хариултыг шалга (3)

Kite and Trapezoid Properties

Kite Properties

1.)

2.)

3.)

4.)

Trapezoid Properties

5.)

6.)

7.)

8.)

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