Question

If quadrilateral JKLM is a kite, which of the following statements are always true? Select all that apply?

Answer 1

Answer:

The last two only

Step-by-step explanation:

The first one is not ALWAYS true because it is based on where you put your labels on this kite.

The second one is only true for rhombuses.

The third one is also not true.

The fourth one is the correct formula for the area of a kite.

The fifth one is true because diagonals of a kite are always perpendicular.

Answer 2

Based on the assumptions made in the first paragraph, The statements that are always true are statements (1), (4), and (5).

Suppose we consider J as the vertex and label the rest of the edges as K L M  in a counter-clockwise direction alphabetically.

What is a kite?

A kite is a quadrilateral having 2 pairs of sides of equal lengths and these sides are adjacent to each other.

Properties of a kite: 1)The angle between unequal sides is equal.

2)A kite has 2 diagonals that intersect each other at right angles.

3)The area of a kite is half of the product of the lengths of the diagonals.

Based on the above properties, we can say:

∠JKL = ∠JML

The area of JKLM = 1/2*JL*KM

KM ⊥ JL.

Therefore, based on the assumptions made in the first paragraph, The statements that are always true are statements (1), (4), and (5).

To get more about kites visit:

brainly.com/question/16424656