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Lina20 [59]
3 years ago
12

These triangles are congruent by the triangle congruence postulate [?]

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

AB\cong CD                   (Given)

\angle BAC\cong \angle DCA                   (Given)

AC\cong AC                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

\Delta ABC\cong \Delta CDA            [SAS congruence postulate]

Therefore, the correct option is B.

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on a piece of paper, graph this system of equations. y = - x - 10 y = x^2 - 2x - 3 then determine which answer choice matches th
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Answer:

Option D. No solution

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The line cuts to the x-axis at x = -10 and cuts the y-axis at y = -10

<u>We have a parabola </u>

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Then the factors are:

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<em>Now we find the cut points with the y axis. (x = 0) </em>

y = (0-3)(0 + 1)\\y = -3.

<em>The parabola cuts to the axis y in y = -3. </em>

Now we can graph the line and the parabola. Observe the attached image.

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