1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SashulF [63]
1 year ago
15

In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction,

you are given that BD bisects

Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
6 0

Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:

a. angle 1 is <u>congruent</u> to angle 2.

b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.

c. \frac{AD}{CD} = \frac{AB}{CB}

The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.

From the given <u>diagram</u> in the question, it can be deduced that

ΔABC ≅ ΔABE (<em>substitution</em> property of equality)

Given that EA is <u>parallel</u> to BD, then:

i. <2 ≅ <3 (<em>corresponding</em> angle property)

ii. <1 ≅ < 4 (<em>alternate</em> angle property)

Thus, the required options to complete the <em>paragraph proof</em> are:

  • Angle 1 is <em>congruent</em> to angle 2.
  • Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
  • \frac{AD}{CD} = \frac{AB}{CB}

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927

#SPJ1

You might be interested in
Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?
Dominik [7]

Answer:

296 dollars

Step-by-step explanation:

5 0
2 years ago
After 8 hours of snow, the
Dmitrij [34]
Answer: -21.125 or -21 1/8 degrees

Explanation: Divide the number of degrees (-169) by the amount of time it was snowing (8) to get the answer (-21.125).

-169÷8=-21.125
4 0
3 years ago
Which statement is true for the equation 4n – 3 = 4n – 2 Select one: a. It has no solution. b. It has one solution. c. It has tw
oksian1 [2.3K]
4n-3=4n-2  subtract 4n from both sides

-3=-2 

Since -3!=-2, there is no solution.

So your answer is a.
7 0
3 years ago
Read 2 more answers
suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if the
stealth61 [152]
There is 5 different pairs
7 0
1 year ago
Heyy! i’ll give brainliest help asap pls
vladimir1956 [14]

Answer:

I think it's A

hope this helps

have a good day :)

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • The first term of a G.p are as follows: m, m^2+4, 16m find the 5th term
    5·1 answer
  • If b=33.2 and B=61(Degrees), find a on a right triangle.
    13·1 answer
  • The sides of a square are increased by a scale factor of 2. The area of the larger square is what percent of the area of the sma
    11·1 answer
  • Please help for brainliest answer
    15·1 answer
  • Line Segment xy was used to draw a copy of ABC.xy is 9.5 centimeters long. What is the length of AA’ + BB’ + CC’ ?
    8·2 answers
  • Daniel stocks the shelves of his fathers toy store at night.On the top shrlf,he puts only boxed dolls and stuffed animals. The r
    12·1 answer
  • What is the value of a?
    12·2 answers
  • Someone please help!
    13·1 answer
  • Adriana y Luisa fueron a la feria y decidieron subirse a la rueda de la fortuna. Si el diámetro de la rueda es de 8 metros, ¿Qué
    13·1 answer
  • 15x + 1 = y, for x<br> Literal equations
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!