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tino4ka555 [31]
3 years ago
6

Determine whether or not there is a congruence between △abc and △def. if there is such a congruence, then give the reason for it

. if no such congruence exists, choose none. m∠b=m∠f, ab=de, ac=df
Mathematics
1 answer:
Andru [333]3 years ago
4 0

There is no congruence between the triangles based on the given information. In general, two sides and an angle not between them are insufficient to specify the triangle completely. In this case, the angles that are congruent are adjacent to non-corresponding sides, so even if SSA correspondence were sufficient to ensure congruence, it would not be sufficient in this case.


The appropriate choice is

... none

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The interior angles of △ABC measure 34°, 50°, and x°. The interior angles of △DEF measure y°, 50°, and 96°. Which statement is t
MrMuchimi
They are similar because △ABC has angle measures of 34°, 50°, and 96° and <span>△DEF has angle measures 34°, 50°, and 96°.</span>
7 0
4 years ago
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity.
Arturiano [62]

The <em>Pythagorean</em> theorem is one that can be used to <u>determine</u> the <em>third</em> unknown side of a given <em>right-angled</em> triangle. Thus the answers required are:

  • A <em>pair</em> of <u>similar</u> triangles formed are ΔABD and ΔADC
  • Segment AD is a perpendicular <em>bisector</em> of segment BC, and also <u>bisects</u> angle A in two equal measures
  • Segment AD = 3

A <em>right-angled</em> triangle is one which has the <em>measure</em> of one of its internal angles <u>equal</u> to 90^{o}. Thus to determine the <em>value</em> of one of its unknown sides, the <em>Pythagoras theorem</em> can be used.

<em>Pythagora theorem</em> states that: for a <u>right-angled</u> triangle,

/Hypotenus/^{2} = /Adjacent 1/^{2} + /Adjacent 2/^{2}

Thus from the given question, we have;

Part A: A <em>pair</em> of <u>similar</u> triangles formed are ΔABD and ΔADC.

Part B: In the given triangle, segment AD is a <em>perpendicular bisector</em> of segment BC. Thus segment AD also <u>bisects</u> angle A in two equal measures. So triangle ABC is now <em>divided</em> into <u>two</u> equal pairs i.e ΔABD and ΔADC.

Part C: Given that: If DB = 9 and DC = 4, find the length of segment DA.

Let segment AD be represented by x, so that;

from ΔABC,

/Hypotenus/^{2} = /Adjacent 1/^{2} + /Adjacent 2/^{2}

/13/^{2} = /Adjacent 1/^{2} + /Adjacent 2/^{2}

Thus the appropriate Pythagorean triple for this question is 5, 12, 13.

So that AB = 12, AC = 5 and BC = 13

Let segment AD be represented by x.

Thus from triangle ADC, applying the Pythagoras theorem we have;

5^{2} = x^{2} + 4^{2}

25 - 16 = x^{2}

x^{2} =   9

x = 3

Therefore, <u>segment</u> AD is 3.

For more clarifications on Pythagoras theorem, visit: brainly.com/question/343682

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

6 0
2 years ago
Explain how to write a function rule from the table below. Then write a function rule.
Jet001 [13]

Answer:5

Step-by-step explanation:

4 0
3 years ago
Anyone know this ???
Sholpan [36]

Answer:

A because it is super close together

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help.I attached a picture of the problem. You don't have to explain it.
Debora [2.8K]
It's the last choice. Segment TD is equivalent to segment SG.

Hope this helps! :)
7 0
4 years ago
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