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3 years ago

Describe what congruent figures and similar figures have in common

Mathematics

1 answer:

artcher [175]3 years ago

4 0

Answer:

Congruent figures have the same measurements in angles (degrees) and sides (units).

Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.

Something they have in common are corresponding angles and corresponding sides.

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3 years ago

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3 years ago

The diagram below shows an Isosceles triangle. Label the base angles and the vertex

Dmitry [639]

The base angles of an isosceles triangle are equal

The base angles are 15 degrees, while the vertex angle is 150 degrees

The base angles are given as:

Base = (6a- 3) and (a + 12)

So, we have:

$\mathbf{6a -3 =a + 12}$

Collect like terms

$\mathbf{6a -a =3 + 12}$

$\mathbf{5a = 15}$

Divide both sides by 5

$\mathbf{a = 3}$

Substitute 3 for a in Base = (6a- 3),

$\mathbf{Base = 6 \times 3 - 3}$

$\mathbf{Base = 18 - 3}\\$

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The vertex angle is calculated using:

$\mathbf{Vertex=180 -2 \times Base}$

So, we have:

$\mathbf{Vertex=180 -2 \times 15}$

$\mathbf{Vertex=150 }$

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Read more about isosceles triangles at:

brainly.com/question/25739654

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2 years ago

Describe what congruent figures and similar figures have in common ​

Describe what congruent figures and similar figures have in common