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schepotkina [342]
3 years ago
14

Segment DB is a median of ΔADC. Which statement best describes the relationship between triangles ABD and CBD?

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

HELLO :)

Triangles ABD and CBD are congruent by the SSS Congruence Postulate, this is because both  of the triangles have the same angle and the have the same sides. Therefore they are congruent by the SSS Congruence Postulate.

slavikrds [6]3 years ago
6 0

Answer:

Triangles ABD and CBD are congruent by the SSS Congruence Postulate

⇒ Answer A is the best answer

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ  

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ  

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ  

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles  

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse  

 leg of the 2nd right angle Δ

* Lets solve the problem

- In ΔADC

∵ DA = DC

∵ DB is a median

- The median of a triangle is a segment drawn from a vertex to the

 mid-point of the opposite side of this vertex

∴ B is the mid-point of side AC

∴ AB = BC

- In the two triangles ABD and CBD

∵ AD = CD ⇒ given

∵ AB = CB ⇒ proved

∵ BD = BD ⇒ common side in the two triangles

∴ The two triangles are congruent by SSS

* Triangles ABD and CBD are congruent by the SSS Congruence

  Postulate.

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Step-by-step explanation:

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Focus: (−1/2, −6)

Axis of Symmetry: x = -12

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Answer:

<em>The temperature in Miami is 9/5 times the temperature in San Diego.</em>

Step-by-step explanation:

<u>Ratios</u>

To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:

\displaystyle \frac{45}{25}

Simplify the fraction dividing by 5:

\displaystyle \frac{9}{5}

Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.

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You have $83 in your bank account each week you plan to deposit eight dollars from your allowance and $15 from your paycheck the
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Step-by-step explanation:

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Since y=3 at x=0, the y-intercept is (0,3), and b=3.

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Plug m=-0.5 and b=3 into y=mx+b:

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17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.

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5 0
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