fundamental theorems of proportionality
1. fundamental theorems of proportionality
Answer:
HAVE A NICE DAY ❤️
Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
HOPE IT HELPS ❤️
2. explain the fundamental theorem of proportionality?
Answer:
Statement: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio
Step-by-step explanation:pa brainliest
Answer:
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.
Step-by-step explanation:
3. Explain the fundamental theorem of proportionality
Answer:
The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and is cutting the other two sides, then it divides the other two sides in equal proportion.
Explanation:
I hope correct it help and click heart
4. Solve the following problems in each item by applying the fundamental theorems on proportionality. ;)
Answer:
[tex] \sf \large \bold{ \blue{x = 5}}[/tex][tex] \sf \large \bold{ \blue{x = 30}}[/tex][tex] \sf \large \bold{ \blue{x = 18}}[/tex][tex] \sf \large \bold{ \blue{x = 3.75}}[/tex][tex] \sf \large \bold{ \blue{x = 2.5}}[/tex]Solution:
1. [tex] \frac{AD}{AB} = \frac{AE}{AC} \\ \frac{4}{12} = \frac{x}{15} \\ 12x = (4)(15) \\ 12x = 60 \\ \frac{ \cancel{12}x}{ \cancel{12}} = \frac{60}{12} \\ \sf \bold{x = 5}[/tex]
2. [tex] \frac{AD}{DB} = \frac{AE}{AC} \\ \frac{6}{2} = \frac{x}{10} \\ 2x = (2)(10) \\ 2x = 60 \\ \frac{ \cancel{2}x}{ \cancel{2}} = \frac{60}{2} \\ \sf \bold{x = 30}[/tex]
3. [tex] \frac{AB}{AD} = \frac{AE}{EC} \\ \frac{12}{x} = \frac{4}{6} \\ 4x = (12)(6) \\ \frac{ \cancel{4}x}{ \cancel{4}} = \frac{72}{4} \\ \sf \bold{ x = 18}[/tex]
4. [tex] \frac{AD}{DB} = \frac{AE}{EC} \\ \frac{2.5}{4} = \frac{x}{6} \\ 4x = (2.5)(6) \\ 4x = 15 \\ \frac{ \cancel{4}x}{ \cancel{4}} = \frac{15}{4} \\ \sf \bold{x = 3.75}[/tex]
5. [tex] \frac{AD}{DB} = \frac{AE}{EC} \\ \frac{x}{5} = \frac{3.5}{7} \\ 7x = 17.5 \\ \frac{ \cancel{7}x}{ \cancel{7}} = \frac{17.5}{7} \\ \sf \bold{x = 2.5}[/tex]
#BrainliestBunch
5. ratio proportion and fundamental theorem of proportionality
Answer:
Basic Proportionality Theorem - A line drawn parallel to one side of a triangle and cutting the other two sides, divides the other two sides in equal proportion.
The converse of Basic Proportionality Theorem - A line drawn to cut two sides of a triangle in equal proportion is parallel to the third side.
Midpoint Theorem - A line drawn parallel to one side of the triangle and half of that side, divides the other two sides at its midpoint.
6. Which theorem states that “If a line is parallel to one side of a triangle and intersect the other two sides, then that segment divides the two sides proportionally”?a.Angle Bisector Theoremb.Pythagorean Theoremc.Basic Proportionality Theoremd.Vertical Angle Theorem
Answer:
B. Angle Bisector Theorem
In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
7. Theorems of Proportionality
Answer :
1 ) Find AB
• [tex] \large \frac {AB} {AE} = \frac {BC} {ED}[/tex]• [tex] \large \implies \frac {AB} {8} = \frac {9} {12}[/tex]• [tex] \large \implies {AB = 6} [/tex] • Final Answer : AB = 62 ) Find DF
• [tex] \large \frac {AC} {CE} = \frac {BD} {DF}[/tex]• [tex] \large {DF = CE . BD | AC = 6×12 | 10 = 7.2}[/tex]• Final Answer : DF = 7.23 ) Find X
• [tex] \large \frac {2x - 16} {g} = \frac {4} {6}[/tex]• [tex] \large \implies \frac {2x - 10} {g} = \frac {2} {3}[/tex]• [tex] \large \implies {2x - 10 = 6}[/tex]• [tex] \large \implies {2x = 16}[/tex]• [tex] \large \implies {x = 8}[/tex]• Final Answer : x = 8Note : Sorry If i can't answer The 2 Unknown, but i hope this still helps
--- FreaQ ---
8. explain basic proportionality theorem
Answer:Statement: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio. Given: In △ABC, line DE is drawn parallel to side BC which meets AB at D and AC at E
Step-by-step
9. explain the Converse of the basic proportionality theorem?
Answer:
Converse of Basic Proportionality Theorem : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.Step-by-step explanation:
What is the converse of a theorem?A converse of a theorem is a statement formed by interchanging what is given in a theorem and what is to be proved. For example, the isosceles triangle theorem states that if two sides of a triangle are equal then two angles are equal.
#Carry_On_Learning10. What similarity concept justifies that ∆FEL - ∆QWN in figure 3?a. Right Triangle Proportionality Theoremb. Triangle Proportionality Theoremc. SSS Similarity Theoremd. SAS Similarity Theorem
What similarity concept justifies that ∆FEL - ∆QWN in figure 3?
a. Right Triangle Proportionality Theorem
b. Triangle Proportionality Theorem
c. SSS Similarity Theorem
d. SAS Similarity Theorem
11. Fundamental Theorems of Proportionality to Solve Problems Involving
Answer:
30/70
1. We can see these two triangles are similar to each other.
Suppose length is X.
So 14/144 = 15/15+x
X = 30/70
So the length is 30/70
I will answer the Rest Tomorrow po.
12. Applies the fundamental theorems of proportionality to solve problems involving proportions.
Answer:
Statement: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio
Step-by-step explanation:
hope it helps
13. Theorems of Proportionality
————————————————QUESTION 1
answer
AB = 6solution
So AB/AE = BC/ED ( property of parallels )➝ AB/8 = 9/12 ➝ AB = 6QUESTION 2answer
DF = 7.2solution
AC/CE , BD/OFOf = CE.BD/AC = 6 x 12/10 = 7.2( parallel lines divide into segments proportionately )QUESTION 3no answer
QUESTION 4no answer
QUESTION 5answer
x = 8solution
4/2x -10 = 10/ 2x -10 + 9 ( small and large trapezoids are similar trapezoids )4/2x 10 = 10/2x -18× -4 = 20x -10012x =1 6x = 8————————————————14. how will you apply in real life about applying fundamental theorems of proportionality to solve problems involving proportions?
Answer:
Use the information in the problem to set up two ratios comparing the same quantities. ...
Set the ratios equal creating a proportion.
Use cross multiplication to solve for the unknown in the proportion.
sana po makatulong
pag mali po pakisabi saken salamat
15. C. Solve for the unknown sides in the figures by applying the appropriatefundamental theorems of proportionality.
Step-by-step explanation:
ayan na pong sagot..good luck po.
16. Basic proportionality theorem measure of middle line
Answer:
The MidPoint theorem is a special case of the basic proportionality theorem. According to mid-point theorem, a line drawn joining the midpoints of the two sides of a triangle is parallel to the third side.
17. 6. which theorem states that ''if a line is a parallel to one side of a triangle and intersect the other two sides, then that segment divides the two sides proportionally? A. angle bisector theorem B. basic proportionally theorem C. pythagorean theorem D. Vertical Angle theorem 7. What theorem states that ''In a right triangle, the square of a hypotenuse is equal to the sum of the square of the legs''? a. proportionality theorem b. pythagorean theorem c. right triangle theorem d. similarity theorem
THEOREMS
Answer:
6. which theorem states that ''if a line is a parallel to one side of a triangle and intersect the other two sides, then that segment divides the two sides proportionally?
B. basic proportionally theorem
7. What theorem states that ''In a right triangle, the square of a hypotenuse is equal to the sum of the square of the legs''?
b. pythagorean theorem#CarryOnLearning
_Luxerious ⚘
18. what is the basic proportionality theorem (BPT)
Answer:
The intercept theorem, also known as Thales's theorem or Thales's intercept theorem or basic proportionality theorem or side splitter theorem is an important theorem in elementary geometry about the ratios of various line segments that are created if two intersecting lines are intercepted by a pair of parallels.
19. 30. What similarity concept justifies that ΔAEH~ ΔFEL?a. Right triangle Proportionality Theoremb. Triangle Proportionality Theoremc. SSS Similarity Theoremd. AAA Similarity Theorem
Answer:
The answer is B,Triangle Proportionality Theorem.
Hope it helps!
#Carry_On_Learning
20. what is TRIANGLE PROPORTIONALITY THEOREM
Answer:
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Answer:
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Step-by-step explanation:
PA BRAINLIEST PLS
21. 7. All of the following are fundamental theorems of proportionality EXCEPT:A. Cross Multiplication PropertyC. Inverse PropertyB. Addition PropertyD. Closure Propertynationalitvis being illustrated bel2C
Answer:
C , I think para sa akin lang yon
Step-by-step explanation:
#OpinyonMoShareMo
22. Theorems of Proportionality, find the unknown.
Answer:
1. 8 2. 7
Step-by-step explanation: thats the unnown? tell me if im wrong... sorry...
23. Proportionality Theorems
Answer:
Proportionality theorems are used to establish a relationship between the lengths of the sides of two similar triangles. There are three main proportionality theorems:
The Angle Bisector Theorem: If a line segment bisects an angle of a triangle and intersects the opposite side, then the length of the opposite side is proportional to the lengths of the other two sides of the triangle.
The Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then the lengths of the segments on the two sides of the triangle are proportional.
The Midline Theorem: If a line segment is drawn connecting the midpoints of two sides of a triangle, then the length of that line segment is half the length of the third side of the triangle, and the line segment is parallel to the third side.
These proportionality theorems are used to solve problems involving similar triangles, such as finding the lengths of sides, the ratio of areas, and the ratio of volumes of similar figures.
24. math 9:applying fundamental theorem proportionality to solve problem involving proportion.
Answer:
1:proportion
2.not
3.not
4.proportion
5.proportion
6.not
7.proportion
8.not
9.proportion
10.not
Step-by-step explanation:
25. MELC: Apply the fundamental theorems of proportionality to solve problems involving proportions. (M9GE- Ilf-2)
Answer:
2squares and 10rectangles is the key
26. M40. What theorem states that, "If a line parallel to the third side of a triangle intersects the othertwo sides, then it divides the two sides proportionally"?A. Right Triangle Proportionality TheoremB. Triangle Proportionality TheoremC. SSS Similarity TheoremD. SAS Similarity TheoremחזרהAT in
A is the correct answer
Step-by-step explanation:
Sna makatulong .it's correct
27. Most Essential Learning Competency 1. describes a proportion. 2. applies the fundamental theorems of proportionality to solve problems involving proportions.
Answer:
1. harmonious relation of parts to each other or to the whole
2. se the information in the problem to set up two ratios comparing the same quantities. ...
Set the ratios equal creating a proportion.
Use cross multiplication to solve for the unknown in the proportion.
Step-by-step explanation:
28. Solve for unknown measure or side by applying the fundamental theorem of proportionality
Answer:
→So 5 x is equal to 4 times 25 that is 100 divided by 5 so 100 divide 5 so your x is 20. Okay so therefore this is 20.. So this is how we get the missing values of your proportion.If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally
Step-by-step explanation:
→βrainliest Pls29. what similarity concept justifies that ΔFEL ~ ΔQWN? a. Right Triangle Proportionality Theorem b. Triangle Proportionality Theorem c. SSS Similarity Theorem d. SAS Similarity Theorem
Answer:
b.
Step-by-step explanation:
yan po yung answer.
Hope it's help
Answer:
B. CORRECT ME IF I'M WRONG
HOPE IT HELPS
#BRAINLY
30. Quiz on Triangle Proportionality Theorem
Answer:
3 triangular spacial by 9
