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jolli1 [7]
2 years ago
5

Segments

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

There are several ways two triangles can be congruent.

  • \mathbf{AC = BD}<em> congruent by SAS</em>
  • \mathbf{\angle ABC \cong \angle BAD}<em> congruent by corresponding theorem</em>

In \mathbf{\triangle AOL} and \mathbf{\triangle BOK} (see attachment), we have the following observations

1.\ \mathbf{AO = DO} --- Because O is the midpoint of line segment AD

2.\ \mathbf{BO = CO} --- Because O is the midpoint of line segment BC

3.\ \mathbf{\angle AOB =\angle COD} ---- Because vertical angles are congruent

4.\ \mathbf{\angle AOC =\angle BOD} ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

\mathbf{AC = BD}

Using corresponding theorem,

\mathbf{\angle ABC \cong \angle BAD} ---- i.e. both triangles are congruent

The above congruence equation is true because:

  1. <em>2 sides of both triangles are congruent</em>
  2. <em>1 angle each of both triangles is equal</em>
  3. <em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

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Male tigers weigh about 500 pounds. Female tigers weigh about 300
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3 years ago
Simplify the product using distributive property (2x-5)(x+3) show work
coldgirl [10]
Use the FOIL method
First, Outside, Inside, Last
(2x -5)(x + 3)

2x(x) = 2x²
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simplify

2x² + 6x - 5x - 15

2x² + x - 15


2x² + x - 15 is your answer

hope this helps
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3 years ago
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