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1 year ago

How can you show two figures are congruent?

Mathematics

1 answer:

galina1969 [7]1 year ago

4 0

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

What in mathematics is the congruent?

It is claimed that two figures are "congruent" if they can be positioned exactly over one another.
Both the shape and size of the bread slices are same if you lay one slice on top of the other.
Congruent refers to having precisely the same form and size.

Use the Third Angles Theorem for two figures are congruent.

When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

Learn more about congruent

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Find area of blue shaded region

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Answer:

$\approx \: 7.33 \: {cm}^{2}$

Step-by-step explanation:

Area of the blue shaded region

$= \frac{ \theta}{360 \degree} \times \pi r_1^2 - \frac{ \theta}{360 \degree} \times \pi r_2^2 \\ \\ = \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\ \\ = \frac{ 3.14 }{3} \times 7 \\ \\ = \frac{21.98}{3} \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^{2}$

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3 years ago

Can someone help me solve this geometry problem down below?

TiliK225 [7]

Answer:

x = 29

Step-by-step explanation:

Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.

Therefore:

m<CAB = m<CDE = 74°

m<ABC = 2x (given)

m<BCA = 48° (given)

Thus:

m<CAB + m<ABC + m<BCA = 180° (sum of triangle)

Substitute

74 + 2x + 48 = 180

Add like terms

2x + 122 = 180

2x + 122 - 122 = 180 - 122

2x = 58

2x/2 = 58/2

x = 29

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3 years ago