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atroni [7]
3 years ago
11

In a parallelogram ABCD with diagonal AC, a student has used the Alternate Interior Angles Theorem to show that angle DAC is con

gruent to angle BCA and that angle BAC is congruent to DCA.
Which of the following can be used to prove the triangles congruent by ASA? (4 points)

TB ≅ TD
DB ≅ DB
AC ≅ DB
AC ≅ AC
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

AC ≅ AC

Step-by-step explanation:

A S A ---> Angle Side  Angle

∠DAC ≅∠ BCA          {Alternate interior angle}

AC ≅ AC                      {Reflexive property}

∠DCA ≅∠BAC           {Alternate interior angle}

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From the triangle below, if AD = 5 and CD = 20, find the length of side BD.
krek1111 [17]

The length of side BD, given that AD = 5 and CD = 20 is 10 (Option A)

<h3>Data obtained from the question</h3>
  • Length of side AD = 5
  • Length of side CD = 20
  • Length of side BD =?

<h3>How to determine the length of side BD</h3>

Since the triangles are similar, we can obtain the length of side BD as illustrated below:

CD / BD = BD / AD

20 / BD = BD / 5

Cross multiply

BD × BD = 20 × 5

BD² = 100

Take the square root of both sides

BD = √100

BD = 10

Thus, the length of side BD is 10

Learn more about similar triangles:

brainly.com/question/25882965

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