Mathematics, 27.10.2019 18:43 swtnru4509

In each pair, some of the angles of two triangles in degree are given. use the
information to decide if the triangle are similar or not. given. explain how you know
- triangle a: 53,71, triangle b: 53,71. -
triangle c: 90,37. triangle d. 90,53
triangle e: 63,45 triangle f: 14.71,

triangle g 121
triangle h: 70,-

Answers: 1

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Answers

The similarity of two triangles depends on the equality of the corresponding angles and the proportionality of the corresponding sides

The correct options are;

Triangle A: 53, 71, Triangle B: 53, 71; SimilarTriangle C: 90, 37, Triangle D: 90, 53; SimilarTriangle E: 63, 45 Triangle F:14, 71; Not similarTriangle G, 121, Triangles H: 70, Not similar

Reason:

In the event that two angles of one triangle are congruent to two of the

angles of another triangle, then the two triangles are similar according to

Angle Angle, AA, similarity postulate

The AA similarity postulate is correct given that the sum of the interior

angles of a triangle is 180° by the angle sum property of a triangle,

therefore, where two angles are congruent, the third angle is also

congruent

Triangle A: 53, 71, Triangle B: 53, 71; Similar

The triangles are similar by AA similarity postulate

Triangle C: 90, 37, Triangle D: 90, 53; Similar

The triangle are similar, given that the the given angles are equal to each of their complementary angles

Triangle E: 63, 45 Triangle F:14, 71; Not similar

The triangles are not similar

Triangle G, 121, Triangles H: 70, Not similar

The information is not sufficient

Learn more about AA similarity postulate here:

link

Answer from: luxmimspcbcxf

A and BC and D

Step-by-step explanation:

Triangles are similar when they have angles with the same measure. Since the sum of angles is 180°, the three angles will have the same measure if any two have the same measure.

Triangles A and B

The given two angles have the same measure, so all three angles have the same measure. Triangles A and B are similar.

Triangles C and D

The third angle of Triangle C has measure ...

180° -90° -37° = 53°

Hence two of the angles of Triangle C match the given angles of Triangle D, so all three angles have the same measure. Triangles C and D are similar.

Triangles E and F

Neither of the angles of Triangle E match either of the given angles of Triangle F, so the triangles cannot be similar.

Triangles G and H

The sum of the remaining angles of Triangle G must be less than 59°, so neither angle can be 70°. The triangles cannot be similar.

Answer from: Quest

4400

step-by-step explanation:

Answer from: Quest

If i'm correct the answer is $15.97

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