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
Dafna1 [17]
3 years ago
8

In ΔABC shown below, segment DE is parallel to segment AC: Triangles ABC and DBE where DE is parallel to AC The following two-co

lumn proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally: Statement Reason 1. Line segment DE is parallel to line segment AC 1. Given 2. Line segment AB is a transversal that intersects two parallel lines. 2. Conclusion from Statement 1. 3. ∠BDE ≅ ∠BAC 3. Corresponding Angles Postulate 4. 4. 5. 5. 6. BD over BA equals BE over BC 6. Converse of the Side-Side-Side Similarity Theorem Which statement and reason accurately completes the proof? 4. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate 5. ∠B ≅ ∠B; Reflexive Property of Equality 4. ∠B ≅ ∠B; Reflexive Property of Equality 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate 4. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate 5. ∠A ≅ ∠C; Isosceles Triangle Theorem 4. ∠A ≅ ∠C; Isosceles Triangle Theorem 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0

Answer:

4.Angle B =Angle B

Reason: Reflexive property of equality

5.Triangle BDE is similar to triangle BAC

Reason: AA similarity postulate

Step-by-step explanation:

In triangle ABC

Segment DE is parallel to segment AC.

1.Segment DE is parallel to AC

Reason: Given

2.Line segment AB is a transversal line which intersects two parallel lines

Reason:Conclusion from statement 1

3.Angle BDE congruent to angle BAC

Reason: Corresponding angles postulate

4.Angle B =Angle B

Reason: Reflexive property of equality

5.Triangle BDE is similar to triangle BAC

Reason: AA similarity postulate

6.BD over BA equals BE over BC.

Reason:When two triangles are similar then the ratio of their corresponding sides are equal

storchak [24]3 years ago
5 0

Answer:

3. BDE is congruent to BAC; corresponding angles postulate

4. B is congruent to B; reflexive property of equality

Step-by-step explanation:

I took the test.

You might be interested in
What is the length of the hypotenuse in the right triangle shown below?
Mrrafil [7]

Picture needed. not enough info

8 0
3 years ago
Read 2 more answers
Lcm of 10, 20 and 110
mart [117]

Answer:

220

Step-by-step explanation:

110 cannot be the lcm for 20 but 10 and 110

so 220 can be the lcm for 20, 10, and 110

hope this helps

6 0
3 years ago
The answers to the problems
GuDViN [60]

Answer:

the fisrt question it b

4 0
3 years ago
I need a equation for my parabola! I tried so many times and got it WroNg- ​
rodikova [14]

Answer:

Step-by-step explanation:

Not QUITE a parabola . but up until y = 4 it is close

Vertex =  (-7-10)

Vertex form of parabola

y = a ( x+7)^2 -10     find a integer-coordinat point to calculate 'a'

                                     I'll use -18,0

0 = a(-18+7)^2 -10

0 = 122 a  -10     a = 10/122

y = 10/122 (x+7)^2 - 10     see graph below:

5 0
2 years ago
How do you graph a y-intercept equation? How do you find it in a graph/model/word problem?
ad-work [718]
The y intercept is the initial value, which is graphed on the y axis (or vertical line). In a word problem the y intercept is the original or starting value. In a graph you can find it where the data begins on the vertical axis.
6 0
3 years ago
Other questions:
  • someone is eating a 50 gram chocolate bar which contains 30% cocoa how many grams of cocoa is in the chocolate bar
    5·2 answers
  • The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units? (1 poi
    7·1 answer
  • Double fact you can use to find the sum
    10·1 answer
  • Trapezoid ABCD is graphed in a coordinate plane.
    5·1 answer
  • There are 18 boys and 46 girls in a class. 87.5% of the students in the class take the bus to school. How many students do not t
    12·2 answers
  • Please help me with my delta math work
    15·1 answer
  • Help! I’ll mark brainlest :(
    12·1 answer
  • A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month.
    15·1 answer
  • Mary brought $20 to the skating rink. She paid $5.50 admission and $3.75 to rent skates. She also purchased two bottles of water
    7·1 answer
  • PLs HeLp Mememememe :((((((((((((((((((((( (
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!