True/False: The degree measure of a straight line is 360 degree.
Select one:
True
False
7 answers
False
What is the measure of one of the interior angles in a regular decagon?
(hint: a decagon has 10 sides)
Select one:
a.
144 degree
b.
1440 degree
c.
1800 degree
d.
180 degree
(hint: a decagon has 10 sides)
Select one:
a.
144 degree
b.
1440 degree
c.
1800 degree
d.
180 degree
a. 144 degree
Troy has written a proof showing that the diagonals of a parallelogram are equal in length. The diagonals of a parallelogram are not necessarily equal so Troy must have made an error. Identify his error(s).
Statement Reason Correct/Incorrect?
A B equals E D Opposite sides of parallelogram blank
angle B A E equals angle A E D Alternate interior angles blank
angle A B D equals angle B D E Alternate interior angles blank
triangle A B C approximately equal to triangle E D C ASA blank
B C equals E C Corresponding sides of congruent triangles blank
A C equals D C Corresponding sides of congruent triangles blank
A E equals B D
A C plus C E equals D C plus C B blank
correct incorrect true but based on incorrect statements
Statement Reason Correct/Incorrect?
A B equals E D Opposite sides of parallelogram blank
angle B A E equals angle A E D Alternate interior angles blank
angle A B D equals angle B D E Alternate interior angles blank
triangle A B C approximately equal to triangle E D C ASA blank
B C equals E C Corresponding sides of congruent triangles blank
A C equals D C Corresponding sides of congruent triangles blank
A E equals B D
A C plus C E equals D C plus C B blank
correct incorrect true but based on incorrect statements
The error in Troy's proof is in stating that the diagonals of a parallelogram are equal in length. This is not true for all parallelograms. Therefore, Troy's proof is incorrect.
Troy has written a proof showing that the diagonals of a parallelogram are equal in length. The diagonals of a parallelogram are not necessarily equal so Troy must have made an error. Identify his error(s).
Statement Reason Correct/Incorrect?
A B equals E D Opposite sides of parallelogram blank
angle B A E equals angle A E D Alternate interior angles blank
angle A B D equals angle B D E Alternate interior angles blank
triangle A B C approximately equal to triangle E D C ASA blank
B C equals E C Corresponding sides of congruent triangles blank
A C equals D C Corresponding sides of congruent triangles blank
A E equals B D
A C plus C E equals D C plus C B blank
correct, incorrect, true but based on incorrect statements
Statement Reason Correct/Incorrect?
A B equals E D Opposite sides of parallelogram blank
angle B A E equals angle A E D Alternate interior angles blank
angle A B D equals angle B D E Alternate interior angles blank
triangle A B C approximately equal to triangle E D C ASA blank
B C equals E C Corresponding sides of congruent triangles blank
A C equals D C Corresponding sides of congruent triangles blank
A E equals B D
A C plus C E equals D C plus C B blank
correct, incorrect, true but based on incorrect statements
The error in Troy's proof is in stating that the diagonals of a parallelogram are equal in length. This is not true for all parallelograms. Therefore, Troy's proof is incorrect.