Question

Look at the quadrilateral EFGD.



Jason has listed the following conditions for Quadrilateral DEFG to be a kite.



1.DEFG is definitely a kite if the diagonals are perpendicular.

2.DEFG is definitely a kite if angle EFH is equal to GFH.

3.DEFG is definitely a kite if DE ≅ DG.

4.DEFG is definitely a kite if FE ≅ FG.

5.DEFG is definitely a kite if the longer diagonal bisects the shorter one.

6.DEFG is definitely a kite if angle DEF is equal to DGF.

7.DEFG is definitely a kite if DE is not congruent to FE.



Which conditions can be used together justify t

Answer 1

Justify "t"?

Answer 2

Which conditions can be used together justify that DEFG is a kite?
Conditions 1, 3, and 6

Conditions 5 and 6

Conditions 1 and 6

Conditions 3, 4, and 7

Answer 3

my bad

Answer 4

Gimme a sec

Answer 5

I go with 3, 4, 7

Answer 6

thank u

Answer 7

Idc, answer choices are similar but i would say

Conditions 5 and 6

Answer 8

idk*

Answer 9

By using 3, 4, and 7, you are showing that the quadrilateral has two pairs of congruent sides, but all 4 sides are not congruent. That is a kite.

Answer 10

But @mathstudent55, it doesnt say anything about the angles or lines inside the kite

Answer 11

A rhombus also has conditions 5 and 6 and is not a kite.

Answer 12

You re right lol.. answer choices are too similar

Answer 13

Conditions 1, 3, and 6

Talks about congruent sides and angles

Answer 14

But just a guess

Answer 15

The definition of a kite is a quadrilateral with 2 pairs of adjacent sides congruent, but all 4 sides are not congruent. There is no need to discuss angles. Conditions 3, 4, 7 ensure the sides are those of a kite.
Conditions 5 and 6 are true of a rhombus as well, so by having 5 and 6, you are not guaranteed you have a kite.

Answer 16

Two pairs of adjacent sides of a kite are equal, and one pair of opposite angles are equal. Diagonals intersect at right angles. One diagonal is bisected by the other.

Answer 17

That defines a kite^

Answer 18

1, 3, 6 are true of a rhombus as well, so they do not guarantee a kite.

Answer 19

I agree with 3 & 4, but 7 is throwing me off lol

Answer 20

@Scroll0405 go with his option

Answer 21

so the answer is D

Answer 22

THANK U GUYS

Answer 23

Good debate @mathstudent55 lol

Answer 24

LMAO

Answer 25

Here's the definition from mathopenref.com, with no mention of angles:

"A kite is a member of the quadrilateral family, and while easy to understand visually, is a little tricky to define in precise mathematical terms. It has two pairs of equal sides. Each pair must be adjacent sides (sharing a common vertex) and each pair must be distinct. That is, the pairs cannot have a side in common."

Answer 26

OHH

Answer 27

@FilthyMcNasty Yes, it was fun. Thanks.