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
Vika [28.1K]
3 years ago
13

Which statements must be true?

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

The options 2,3 and 5 are correct.

Step-by-step explanation:

From the figure it is noticed that the points U,V and W are midpoint of JK,KL and JL respectively.

Midpoints theorem of triangle states that the line connecting the midpoints of two sides is parallel to third side and its length is half of the third side.

The points U and W are midpoint of JK and JL. Using midpoint theorem, we get

UW=\frac{1}{2}KL

UW\parallel KL

The points U and V are midpoint of JK and KL. Using midpoint theorem, we get

UV=\frac{1}{2}JL

UV\parallel JL

The points V and W are midpoint of KL and JL. Using midpoint theorem, we get

VW=\frac{1}{2}JK

2VW=JK

VW\parallel JK

Therefore options 2, 3 and 5 are correct.

You might be interested in
Is cos 314° positive,negative,or zero?
Oliga [24]
Maybe positive not sure
4 0
3 years ago
triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what
scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0
3 years ago
How many ways can the letters of the word ORGANISM be arranged so the third letter is G?
Darya [45]
7 to 8 i think............................
5 0
3 years ago
Is Alexis drove her car for three hours and drove 150 miles and then drove her car for 350 miles in four hours what is her avera
goblinko [34]
Total miles:350+150=500
Total hours:4+3=7
Avg speed:500/7=71.429 mph
4 0
3 years ago
There are 24 pencils in a box. each student in a class gets 6 pencils. there are no pencils left over. how many students are in
Talja [164]
24/6=4 students

Pencils divided by how many each receive
5 0
3 years ago
Other questions:
  • Graph the function x-3y=9. What is the y-intercept of the function? *
    7·1 answer
  • A researcher approximated the number of cactus plants in a region of desert that is roughly square shaped with a side length of
    9·1 answer
  • Multiply and simplify.<br><br>2x^4yx times 6xy^2z^3
    7·1 answer
  • A painter can paint a wall with an area of 3280 square feet with 8 gallons of paint which rate best represents the relationship
    9·1 answer
  • Pls help 72 points given!
    14·1 answer
  • Why are the triangles congruent?
    12·2 answers
  • What is a geometric sequence
    12·1 answer
  • Can some one please help me with this math assignment . I would be really grateful
    12·2 answers
  • What is 4/7 as a decimal rounded to 3 decimal places?<br>​
    5·1 answer
  • How many combinations of powerball numbers are there
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!