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Help plz this is due today

Help plz this is due today-example-1

2 Answers

1 vote

Answer:

The three of them are similar.

Explanation:

1- Triangle A and Triangle B have two same angles, 37° and 47°, which means the two angles are congruent. According to the Angle Angle Theorem (AA), in two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.

2- First, place both triangles correctly. When you do it, you'll notice that 24≅12, 32≅16, and 9≅4.5:

  • 24/12 = 2 ✓
  • 32/16 = 2 ✓
  • 9/4.5 = 2 ✓

According to Side-Side-Side Theorem (SSS), if the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

3- Here, the triangle shows in each one two different angles, sharing only one which is 55°. To know if they are congruent, you can add the two different angles that show both triangles, 72° and 53°, with the 55°. If it gives 180, it means the can be congruent:

  • 55°+72°+53 = 180° ✓

User Ryan Endacott
by
4.9k points
0 votes

Answer:

All three are similar!

Explanation:

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User Oleksii Masnyi
by
5.3k points
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