McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 5.3, Problem 2E

a.

To determine

To plot the given points and draw the quadrilateral ABCD and its diagonals and then tell which of the following statements are true for quadrilateral ABCD .

a.

Expert Solution
Check Mark

Answer to Problem 2E

True statements: I, II, III, IV, V

Explanation of Solution

Given:

Coordinates of the vertices of quadrilateral ABCD : A(1,2) , B(3,1) , C(7,2) , D(3,5)

Given statements:

  1. Quadrilateral ABCDis parallelogram.
  2. Both pairs of opposite sides are congruent.
  3. All sides are congruent.
  4. The diagonals are congruent.
  5. The diagonals are perpendicular.
  6. The sides form four right angles.

Plot the given points to draw the quadrilateral ABCD and is diagonals.

  A(1,2) , B(3,1) , C(7,2) , D(3,5)

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 5.3, Problem 2E , additional homework tip  1

Conclusion from given statements:

  1. Quadrilateral ABCD is parallelogram. True.

    From the graph it can be seen that the opposite sides are congruent and parallel. So it is a parallelogram but a special kind of parallelogram which is called rhombus.

  2. Both pairs of opposite sides are congruent. True.

    From the graph it can be seen that both pairs of opposite sides are congruent.

  3. All sides are congruent. True.

    From the graph it can be seen that all sides are congruent.

  4. The diagonals are congruent. True.

    From the graph it can be seen that both the diagonals are congruent.

  5. The diagonals are perpendicular. True.

    From the graph it can be seen that both the diagonals are perpendicular to each other.

  6. The sides form four right angles. False.

    From the graph it can be seen that the sides does not form right angles.

Conclusion:

Hence the statements that are true are : I, II, III, IV, V.

b.

To determine

To plot the given points and draw the quadrilateral ABCD and its diagonals and then tell which of the following statements are true for quadrilateral ABCD .

b.

Expert Solution
Check Mark

Answer to Problem 2E

True statements: I, II, III, V

Explanation of Solution

Given:

Coordinates of the vertices of quadrilateral

B(3,3)

A(1,1)D(3,3)ow>

ABCD :,, C(1,1) ,

Given statements:

  1. Quadrilateral ABCD is parallelogram.
  2. Both pairs of opposite sides are congruent.
  3. All sides are congruent.
  4. The diagonals are congruent.
  5. The diagonals are perpendicular.
  6. The sides form four right angles.

Plot the given points to draw the quadrilateral ABCD and is diagonals.

  A(1,1) , B(3,3) , C(1,1) , D(3,3)

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 5.3, Problem 2E , additional homework tip  2

Conclusion from given statements:

  1. Quadrilateral ABCD is parallelogram. True.

    From the graph it can be seen that the opposite sides are congruent and parallel.

  2. Both pairs of opposite sides are congruent. True.

    From the graph it can be seen that both pairs of opposite sides are congruent.

  3. All sides are congruent. True.

    From the graph it can be seen that pairs of opposite sides are congruent and not all sides are congruent.

  4. The diagonals are congruent. False.

    From the graph it can be seen that both the diagonals are not congruent.

  5. The diagonals are perpendicular. True.

    From the graph it can be seen that both the diagonals are not perpendicular to each other.

  6. The sides form four right angles. False.

    From the graph it can be seen that the sides does not form right angles.

Conclusion:

Hence the statements that are true are: I, II, III, V.

Chapter 5 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 5.1 - Prob. 11CECh. 5.1 - Prob. 12CECh. 5.1 - Prob. 13CECh. 5.1 - Prob. 14CECh. 5.1 - Prob. 15CECh. 5.1 - Prob. 16CECh. 5.1 - Prob. 17CECh. 5.1 - Prob. 18CECh. 5.1 - Prob. 1WECh. 5.1 - Prob. 2WECh. 5.1 - Prob. 3WECh. 5.1 - Prob. 4WECh. 5.1 - Prob. 5WECh. 5.1 - Prob. 6WECh. 5.1 - Prob. 7WECh. 5.1 - Prob. 8WECh. 5.1 - Prob. 9WECh. 5.1 - Prob. 10WECh. 5.1 - Prob. 11WECh. 5.1 - Prob. 12WECh. 5.1 - Prob. 13WECh. 5.1 - Prob. 14WECh. 5.1 - Prob. 15WECh. 5.1 - Prob. 16WECh. 5.1 - Prob. 17WECh. 5.1 - Prob. 18WECh. 5.1 - Prob. 19WECh. 5.1 - Prob. 20WECh. 5.1 - Prob. 21WECh. 5.1 - Prob. 22WECh. 5.1 - Prob. 23WECh. 5.1 - Prob. 24WECh. 5.1 - Prob. 25WECh. 5.1 - Prob. 26WECh. 5.1 - Prob. 27WECh. 5.1 - Prob. 28WECh. 5.1 - Prob. 29WECh. 5.1 - Prob. 30WECh. 5.1 - Prob. 31WECh. 5.1 - Prob. 32WECh. 5.1 - Prob. 33WECh. 5.1 - Prob. 34WECh. 5.1 - Prob. 35WECh. 5.1 - Prob. 36WECh. 5.1 - Prob. 37WECh. 5.1 - Prob. 38WECh. 5.1 - Prob. 39WECh. 5.2 - Prob. 1CECh. 5.2 - Prob. 2CECh. 5.2 - Prob. 3CECh. 5.2 - Prob. 4CECh. 5.2 - 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Prob. 24CURCh. 5 - Prob. 25CURCh. 5 - Prob. 26CURCh. 5 - Prob. 27CURCh. 5 - Prob. 28CURCh. 5 - Prob. 29CURCh. 5 - Prob. 30CURCh. 5 - Prob. 31CUR
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