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
LekaFEV [45]
2 years ago
13

In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are giv

en that bisects .
Prove:
Complete the paragraph proof.

A diagram of a triangle ABC. D is the midpoint of the base AC. A line connects BD. A dashed line AE and BE is drawn outside the triangle.

, since bisects and the two angles created on each side of the bisector at point B are equal. because of the corresponding angles theorem. because
. by the substitution property of equality. by the triangle proportionality theorem. If two angles in a triangle are congruent, the sides opposite the angles are congruent, so .
by the substitution property of equality.
Mathematics
1 answer:
givi [52]2 years ago
8 0
  1. Angle 1 is congruent to angle 2, since BD bisects <ABC and the two angles created on each side of the bisector at point B are equal.
  2. <2 ≅ <3 because of the corresponding angles theorem.
  3. <1 ≅ <4 because alternate angles are congruent if two parallel lines are cut by a transversal.
  4. <3 ≅ <4 by the substitution property of equality.
  5. AD/CD = EB/CB by the triangle proportionality theorem.
  6. If two angles in a triangle are congruent, the sides opposite the angles are congruent, so AE = EB.
  7. AD/CD = AB/CB by the substitution property of equality.

<h3>The properties of similar triangles.</h3>

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

<h3>What is the substitution property of equality?</h3>

The substitution property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can reasonably infer and logically deduce that the ratio of AD/CD is equal to AB/CB based on the substitution property of equality.

Read more on substitution property here: brainly.com/question/2459140

#SPJ1

Complete Question:

In ΔABC, 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 <ABC.

Prove: AD/CD = AB/CB.

Complete the paragraph proof.

You might be interested in
5.6.AP-1<br> Solve the inequality.<br> 3 + 4x&gt; 27
iren [92.7K]

Answer:

The answer is X>6

if you click the image it will show the steps to solving the inequality. hope this helps.

8 0
3 years ago
Tiếp tuyến của đồ thị hàm số x<img src="https://tex.z-dn.net/?f=x%5E%7B3%7D%20-3x%5E%7B2%7D%20%2B2" id="TexFormula1" title="x^{3
aalyn [17]

Answer:

what are you telling Id understand

Step-by-step explanation:

became

7 0
3 years ago
3. If angles R and S are complementary, which statement about the two angles is true?
nlexa [21]

Answer: ZR and ZS form a right angle

Step-by-step explanation:

Complementary angles are angles whose sum = 90ᴼ

If R and S are complementary, then their angle measures add to equal 90ᴼ

A right angle = 90ᴼ

6 0
3 years ago
Jimmy has a diecast metal car that is a scale model of an actual race car. If the actual length of the car is 10 feet 6 inches a
kirill115 [55]
The scale factor would be -8 because...

126 inches / 7 inches = 8 inches. 

Because the car is bigger than the scale, it would be a negative scale factor.
8 0
3 years ago
Write an expression that is equivalent to 3(7+).
BigorU [14]

Answer:

21+3x

Step-by-step explanation:

3(7+x)

3*7+3*X

21+3x

7 0
3 years ago
Other questions:
  • Write an expression to represent: Nine minus the quotient of two and a number x.
    10·2 answers
  • ASAP!!! PLEASEEE!!!
    10·1 answer
  • Which of the following is the equation of a circle whose center is at the origin and whose diameter has end (-1,2) and (1,-2)
    12·1 answer
  • The amount of sales of tickets at a movie theater t (x) varies directly with the number of customers x. Fourteen customers paid
    6·2 answers
  • Jim Pine wants to learn golf. He makes the following purchases:
    12·1 answer
  • What is the negative square root of 64/4?
    6·1 answer
  • Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!
    5·1 answer
  • I’ll give brainliest to whoever helps me answer this question correctly.
    12·2 answers
  • Juan will spend at most on gifts. So far, he has spent . What are the possible additional amounts he will spend?
    10·1 answer
  • The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!