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Question 1

What is a quadrilateral?

Quad ri late ral

Quad=4

Lateral= sides

Answer 1

A quadrilateral is a polygon with four edges (sides) and four vertices (corners).

Question 2

True or False: A quadrilateral has three sides.

Answer 2

False

Question 3

What is the sum of the interior angles of a quadrilateral?

Answer 3

The sum of the interior angles of a quadrilateral is 360 degrees.

Question 4

Fill in the blank: A quadrilateral can be classified as ______, ______, and ______ based on its sides and angles.

Answer 4

convex, concave, and self-intersecting

Question 5

Which of the following is NOT a type of quadrilateral? A) Square B) Triangle C) Rectangle

Answer 5

B) Triangle

Question 6

What is a convex quadrilateral?

Answer 6

A convex quadrilateral is a quadrilateral where all interior angles are less than 180 degrees.

Question 7

What distinguishes a concave quadrilateral from a convex quadrilateral?

Answer 7

A concave quadrilateral has at least one interior angle greater than 180 degrees.

Question 8

List the types of quadrilaterals based on sides.

Answer 8

Trapezoid, Parallelogram, Rectangle, Rhombus, Square.

Question 9

True or False: A square is a type of rectangle.

Answer 9

True

Question 10

What is a parallelogram?

Answer 10

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Question 11

Fill in the blank: A rectangle has ______ angles.

Answer 11

four right angles

Question 12

How many diagonals does a quadrilateral have?

Answer 12

A quadrilateral has two diagonals.

Question 13

What is the relationship between the opposite angles of a parallelogram?

Answer 13

The opposite angles of a parallelogram are equal.

Question 14

Which quadrilateral has all sides of equal length and all angles equal?

Answer 14

A square.

Question 15

True or False: A rhombus must have right angles.

Answer 15

False

Question 16

What is the formula to calculate the area of a rectangle?

Answer 16

Area = length × width.

Question 17

What type of quadrilateral has exactly one pair of parallel sides?

Answer 17

A trapezoid.

Question 18

Fill in the blank: In a rhombus, the diagonals ______ each other at right angles.

Answer 18

bisect

Question 19

What is a kite in terms of quadrilaterals?

Answer 19

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal.

Question 20

True or False: All squares are rhombuses.

Answer 20

True

Question 21

What defines a cyclic quadrilateral?

Answer 21

A cyclic quadrilateral is one where all vertices lie on the circumference of a circle.

Question 22

How do you determine if a quadrilateral is a rectangle?

Answer 22

A quadrilateral is a rectangle if it has four right angles.

Question 23

What is the difference between a square and a rhombus?

Answer 23

A square has four right angles, while a rhombus does not necessarily have right angles.

Question 24

What is the importance of the diagonals in a quadrilateral?

Answer 24

Diagonals can determine the type of quadrilateral and help calculate its area.

Question 25

List three properties of a square.

Answer 25

All sides are equal, all angles are right angles, and diagonals bisect each other at right angles.

Question 26

True or False: The diagonals of a rectangle are always equal.

Answer 26

True