geometry

The figure shows a partially completed set of steps to construct figure PQRS.


The next step is to construct side RS of the figure so that side RS is congruent to side PQ and angle PQR is congruent to angle SRN. The chart shows the steps each of the four students took to draw side RS of the figure.

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 M and adjust its width to point L. Without changing the width of the compass, move the compass to N and draw an arc which cuts the previous arc at T. Adjust the width of the compass equal to PQ. Fix the compass at 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. Using the same width, fix the compass at N and draw an arc which intersects the previous arc at T. 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 which intersects QR at T. 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 2

Student 1

Student 4

Student 3

  1. 👍 1
  2. 👎 1
  3. 👁 1,169
  1. why don't you try getting out your compass, following each of the student's steps, and see which one yields a parallelogram PQRS?

    1. 👍 2
    2. 👎 6
  2. student 1

    1. 👍 2
    2. 👎 0
  3. Student 4

    1. 👍 0
    2. 👎 0
  4. studdent 3

    1. 👍 0
    2. 👎 0
  5. Student 2

    1. 👍 0
    2. 👎 0
  6. Student 1

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physic

    A circus performer stands on a platform and throws an apple from a height of 50 m above the ground with an initial velocity v0 as shown in the figure below. A second, blindfolded performer must catch the apple. If v0 = 21 m/s, how

  2. math

    Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields

  3. physics

    In Figure (a), a block of mass m lies on a horizontal frictionless surface and is attached to one end of a horizontal spring (spring constant k) whose other end is fixed. The block is initially at rest at the position where the

  4. Math I REALLY NEED HELP!!!!!!!!!

    A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure? A/(2,2) B/(4,4)

  1. MATH-ALGEBRA

    What's the slope-intercept equation of line which is parallel to y = 2/5x-3 and passes through point (0,5) A. y = -5/2x - 3 B. y = -5/2x + 5 C. y = 2/5x + 3 D. y = 2/5x + 5 Its D, but how do u figure that out? please explain step

  2. pre-algebra

    Figure B is the image of Figure A. Which description explains how Figure A was transformed to create figure B. A. Figure A was Reflected across a horizontal line of reflection to create Figure B. B. Figure A was rotated 180 °

  3. math

    Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 Which step in solving this equation is justified by the Commutative Property of Addition? Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

  4. Math

    How many triangles will there be in the 7th term of the following sequence? The figure shows a sequence. The first figure in the sequence shows a triangle, the second figure shows 4 triangles, the third figure shows 7 triangles

  1. Geometry

    The next step is to construct side PS of the figure so that side PS is parallel and congruent to side QR. The chart below shows the steps each of the four students took to draw side PS: Student 1 Fix the compass at M and adjust

  2. physics

    In the apparatus shown in the figure (Figure 1) , m1 = 10kg and the coefficients of static and kinetic friction between m1 and the table are 0.69 and 0.32, respectively. Part A What mass of m2 will just barely set the system in

  3. Math

    You can construct congruent triangles if you know which of the following? A. the measures of two angles B. the measures of three angles C. the measures of two sides D. the measures of three sides Which angles are vertical angles

  4. Math

    Ok so the question asks Below, draw Figure 0 and Figure 4 for the pattern below. Then describe Figure 100 in detail. So figure 1 a box with 2×2 with a tail of 2 boxes Then figure 2 Box 3×3 with a tail 4boxes Figure 3 Box 4×4

You can view more similar questions or ask a new question.