3 years ago

What is the reason for statement 3 in this proof?

Mathematics

1 answer:

const2013 [10]3 years ago

3 0

Answer:

A. Definition of angle bisector

Step-by-step explanation:

Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;

m∠ABD = m∠CBD

The correct option is option A. Definition of angle bisector

Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;

AD = CD and BD = BD

We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency

You might be interested in

Solve for x. x³ = 216

iragen [17]

I got X = 6
If you replace x for 6 you should get 216

6^3 = 216

5 0

3 years ago

Write the total money amount.then write the amount as a fraction or mixed number and as a decimal in terms of dollars

Kitty [74]

Hhczfik in nb vguiigdr 5th hb. jigfddtjnbvt

6 0

3 years ago

What is the value of x?

spin [16.1K]

It is a 45-45 - 90 triangle (as the right angle is split in half for the outer one)

In this case, x is in the hypotenuse. The side lengths follow the 1, 1, √2 formula.

If 1 = 3, then:

3 x √2 = Answer

Answer = 3√2

hope this helps

5 0

3 years ago

Rob draws 16 cards from a standard deck of 52. The deck is made up of equal numbers of four suits- clubs, diamonds, hearts, and

alexira [117]

Sixteen plus fifty two equals 68

8 0

3 years ago

A bag contains 3 red marbles and 6 blue marbles. A second bag contains 6 green marbles and 4 yellow marbles. You choose a marble

Solnce55 [7]

Answer:

4/15

Step-by-step explanation:

Bag A

3 red marbles and 6 blue marbles. = 9 marbles

P(blue) = blue/total =6/9 = 2/3

Bag B

6 green marbles and 4 yellow marbles. = 10 marbles

P(yellow) = yellow/total=4/10 = 2/5

P(blue,yellow) = 2/3 * 2/5 = 4/15

3 0

3 years ago