Quadrilateral is a family of plane shapes that have four straight sides. Thus the sum of their internal angles is $360^{o}$ . Examples include rectangle, square, rhombus, trapezium, and kite.

A kite is a plane shape that has its adjacent sides to have equal measures.

The given diagram in the question is a kite that has its specific properties compared to other quadrilaterals.

Thus, the required proof is stated below:

Given: ΔCAV and ΔCEV

Prove that: ΔCAV ≅ ΔCEV

Then,

CE ≅ CA (length of side property of a kite)

EV ≅ AV (length of side property of a kite)

<ACV ≅ <ECV (bisected property of a given angle)

<AVC ≅ <EVC (bisected property of a given angle)

CV is a common side to ΔCAV and ΔCEV

Therefore it can be deduced that;

ΔCAV ≅ ΔCEV (Angle-Angle-Side congruent theorem)

For more clarifications on the properties of a kite, visit: brainly.com/question/2918354

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7 0

2 years ago

Write the point-slope form of the equation of the line with slope 9 that passes through the point(−4, −6).

satela [25.4K]

Answer:

y+6=9(x+4)

Step-by-step explanation:

point slope form is y-y1=m(X-x1)

y1 is -6

x1 is -4

And the slope or m is 9 so we can fill it in

y-(-6)=9(x-(-4))

y+6=9(x+4)

we can fill the equation out to see if it’s true

-6+6=9(-4+4)

0=9(0)

0=0

It is true

Hopes this helps please mark brainliest

5 0

2 years ago