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nicolecadet941
16.07.2019 •
Mathematics
Given: , prove: ∆abc ≅ ∆dcb look at the proof. name the postulate you would use to prove the two triangles are congruent.
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Ответ:
(A) SSS Postulate
Step-by-step explanation:
Given: AB≅DC and AC≅DB.
To prove: ΔABC is congruent to ΔDCB.
Proof: It is given that AB≅DC and AC≅DB, thus let us consider ΔABC and ΔDCB, then
AB≅DC (Given)
AC≅DB (Given)
BC=BC (Reflexive property of congruence)
Thus, by SSS rule of congruency, ΔABC is congruent to ΔDCB that is ΔABC≅ΔDCB.
Hence, option A is correct.
Ответ:
ANSWER:
The area of the triangle with vertices at (0, – 2), (8, – 2), and (9, 1) is 12 square units.
SOLUTION:
Given, vertices of the triangle are A(0, -2), B(8, -2) and C(9, 1).
We have to find the area of the given triangle.
We know that,
Here in our problem,![\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(0,-2),\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=(8,-2) \text { and }\left(\mathrm{x}_{3}, \mathrm{y}_{3}\right)=(9,1)](/tpl/images/0327/8024/b3d18.png)
Now, substitute the above values in the formula.
Hence, the area of the triangle is 12 sq units.