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Given: ∠ABC is a right angle and ∠DEF is a right angle.

Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.

What are the missing reasons in the steps of the proof?

A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.

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akposevictor

The missing reasons in proving that all right angles are congruent are:

A. Definition of right angles

B. Substitution property

C. Congruent angles

What are Right Angles?

Right angles are angles that measure 90 degrees. If two angles have the same 90 degrees, then they are congruent.

Thus, in the proof given, we have the following statements and their respective reasons:

  • ∠ABC and ∠DEF are right angles - Given
  • m∠ABC = 90°; and m∠DEF = 90° - Definition of right angles
  • m∠ABC = m∠DEF - substitution property
  • ∠ABC = ∠DEF - congruent angles

Learn more about right angles on:

https://brainly.com/question/101834

edelweissfiore6

Answer:

A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is right angle, Line segment D B bisects angle A B C, B, m angle A B D = m angle C B D, m angle A B D + m angle C B D = 90 degrees, m angle C B D + m angle C B D = 90 degrees, D, m angle C B D = 45 degrees. The second column is labeled Reasons with entries A, given, definition of right triangle, definition of bisection, C, substitution property, addition, and division property.

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

           DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

✔ given

B:

✔ measure of angle ABC = 90

C:

✔ angle addition postulate

D:

✔ 2 times the measure of angle CBD = 90

Step-by-step explanation:

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