answer.
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
Nataly_w [17]
2 years ago
11

The figure below shows a partially completed set of steps to construct parallelogram PQRS: Two sides of a parallelogram PQRS are

drawn. PQ that makes an acute angle with the horizontal side QR. QR extends to the left and an arc is drawn that cuts this extended line at L and the side QP at M. An arc of the same measure and the same orientation as arc LM is drawn from point R to cut QR at N. Another small arc intersects this arc at T. The position of T is such that a line segment drawn through RT makes the same angle with QR as angle LQM. The next step is to construct side RS of the parallelogram so that side RS is congruent to side PQ. The chart below shows the steps each of the four students took to draw side RS of the parallelogram: Student 1 Fix the compass at L and adjust its width to point M. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the arc at S. Student 2 Fix the compass at Q and draw an arc that intersects side QP. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the second arc at S. Student 3 Fix the compass at Q and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the arc at S. Student 4 Fix the compass at L and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the arc at S. Which student used the correct steps to construct parallelogram PQRS? Student 3 Student 2 Student 4 Student 1
Mathematics
1 answer:
Sveta_85 [38]2 years ago
3 0

Answer:

∠PQL=∠TRN [Corresponding angles]

So, PQ║RS and PQ=RS

Step-by-step explanation:

Side PQ is drawn.

Another side QR is drawn making an acute angle with side PQ.

Now side QR is extended towards left.

Draw an arc from point Q such that it cuts QP at M and RQ produced at L. Without changing the compass width i.e distance between nib and pencil draw an arc from point R such it cuts RQ at N.Now measure the Distance LM using compass.Place the compass at N and cut an arc that you have drawn from point R.Mark this pont as T.Draw a line passing from R and T .Then measure the length of PQ using compass.Put your compass at R and cut an arc on the line RT produced at S.Then the line PQ ║RS and PQ =RS.

Why this happens because

∠ MQL=∠NRT [ corresponding angles taking QR as Transversal]

∵PQ║RS  and PQ=RS [PQRS is a parallelogrm]

Out of four students who has written the explanation

Student 2 has written not fully but correct explanation.

You might be interested in
Starla is measuring the floor of a rectangular room to determine how many square feet of a tile to buy to cover the floor
lbvjy [14]

there isnt much here but answer is width=X and length=Y and X times Y

for example, if you had a room that was 3 feet long and 10 feet wide, it would be 30 square feet.

5 0
2 years ago
Swati recorded this data set, which contains an outlier. 163, 97, 184, 199, 169, 175 What numbers represent the lower and upper
arsen [322]
To determine the answers to this item, we are to arranged the given data points in increasing order. The arrangement would then be,

         97,163, 169, 175, 184, 199

The lower quartile is the median of the lower half of the data points. In this case, 97, 163, 169. The median is equal to 163

The upper quartile is the median of the upper half of the data points. In this case, 175, 184, 199. The median is equal to 184.

Hence, the aswers to this item is that lower quartile is equal to 163 and upper quartile is equal to 184. The first option. 
6 0
1 year ago
Read 2 more answers
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volum
defon
At first, I thought this was going to be a dog of a bear of a problem,
but then I fixated it with my steely burning gaze and it fell apart for me.

The volume of a pyramid is   (1/3) (base area) (height)

Each of these pyramids has the same base area and the
same height, so ...

      Volume of the lower pyramid = (1/3) (base area) (height)
      Volume of the upper pyramid = (1/3) (base area) (height)

Combined volume of both pyramids = (2/3) (base area) (height) .

Now, how do the pyramids relate to the rectangular prism ?

Their base area is  (length x width) of the prism, and
their height is  (1/2 the height) of the prism.

From here, we'll work with the dimensions of the prism ... L, W, and H .

Combined volume of the pyramids = (2/3) (L x W) (1/2 H)

                                                           =  (1/3) (L x W x H) .

Volume of the prism  =  (L x W x H)

The pyramids occupy 1/3 the volume of the prism.

The ratio is  1/3 .
5 0
2 years ago
A dime has the same value of 10 pennies. Marley brought 290 pennies to the bank. How many dimes did Marley get?
IrinaVladis [17]

For this question, we can simply divide the amount of pennies she has by 10. 290/10 = 29. So, Marley has 29 dimes.

3 0
1 year ago
Which of the following are exterior angles , check all that apply?
brilliants [131]

Answer:

The answer is just <6

Step-by-step explanation:


6 0
2 years ago
Other questions:
  • Arrange the following numbers in order from greatest to least 7,361; 7,136; 7,613
    13·2 answers
  • The following table contains data collected on the math averages of seniors in high school and their math averages as freshman i
    5·1 answer
  • Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2?
    6·2 answers
  • Mandy is making stationery sets from 16 sheets of paper and 12 envelopes. If she wants all the sets to be identical without any
    12·1 answer
  • Kim’s lunch cost is 12.74 she included a tip of 15%
    7·1 answer
  • A 16\dfrac1216 2 1 ? 16, start fraction, 1, divided by, 2, end fraction kilometer stretch of road needs repairs. Workers can rep
    13·2 answers
  • Let $c(t)$ be the number of customers in a restaurant $t$ hours after 8 A.M. Match each statement with its meaning.
    13·1 answer
  • Which of the following options have the same value as 30\%30%30, percent of 818181?
    11·1 answer
  • Which correctly describes the points of discontinuity of the function? Select all that apply.
    9·1 answer
  • A race car driver is doing a time trial of a new car on a straight track. The car's distance from the timekeeper is represented
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!