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
8. Veronica is trying to prove triangle ABC is equal to triangle DEF Which statement would not help to prove the two
Marina86 [1]

Answer:

no answer sorry

Step-by-step explanation:

no answer sorry

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%5E%7B-13%7D%20%C3%975%5E%7B2%7D%20%C3%972%5E%7B2%7D" id="TexFormula1" title="5^{-13} &times;
Bess [88]

Use Socratic or photo math they work gr8

3 0
3 years ago
A department store buys 300 shirts at a cost of $5,400 and sells them at a selling price of $20 each. Find the percent markup.​
Vladimir [108]

Answer:It is $2 markup price.

Step-by-step explanation:

5 0
3 years ago
Plz help!! first right answer for both gets the award<br>​
Shalnov [3]

Answer:

A:in order:24,2,12,2,3  in order:84,2,42,7,3  B:168

Step-by-step explanation:

A)divide the top number by the bottom left

B)LCM of 24 and 84

6 0
3 years ago
Please helpppppppppppp
Tamiku [17]

Answer:

A. 48 in. cubed

Step-by-step explanation:

V=bh

V=6*8

V=48 in. cubed

6 0
2 years ago
Other questions:
  • How is the parent function y=x2 related to the given function Y=3(x+1)2?
    7·1 answer
  • True or False: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anythi
    11·1 answer
  • Solve the equation.
    11·1 answer
  • Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second.
    12·1 answer
  • 3(2c-8) - 10c &gt; 0 can some one explain how to solve this ?​
    14·1 answer
  • An invoice dated March 12 in the amount of $50,000 is received by Reliance Corporation on March 16. Cash discount terms on the i
    11·1 answer
  • Which expression is the simplest form of -(2x + y) + 3(x - 4y)?
    8·1 answer
  • The sum of the ages of Andrew and Hanna is 64 years. 8 years ago, Andrew's age was 3 times Hanna's age. How old is Andrew now?
    9·1 answer
  • Factor 6x^9 - 15x^5
    6·1 answer
  • Sarah is playing musical chairs. There are twenty people playing and one of them won't be able to find a seat. Find the probabil
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!