We appreciate your visit to If JKLM is a trapezoid which statements must be true Check all that apply A JK is perpendicular to KL B J is congruent to. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Certainly! Let's break down the problem and understand why certain statements about the trapezoid JKLM must be true.
A trapezoid is a quadrilateral with at least one pair of parallel sides. Now, let's examine each statement to see which are necessarily true for a trapezoid:
A. JK is perpendicular to KL:
- This statement is not necessarily true for a trapezoid. A trapezoid does not require any sides to be perpendicular unless specified.
B. J is congruent to 2K:
- This statement does not make sense in terms of congruency, as it seems to refer to angles or lengths in an unclear way. Hence, it's not necessarily true for a trapezoid.
C. JK is parallel to LM:
- This statement is true for a trapezoid because, by definition, a trapezoid must have at least one pair of parallel sides. If JKLM is a trapezoid, then either JK is parallel to LM or another pair is, but this statement could represent the necessary condition.
D. KL is parallel to JM:
- This is not necessarily true. A trapezoid only requires one pair of sides to be parallel. The other pair does not have to be parallel.
E. J is congruent to M:
- Angles J and M are not necessarily congruent in a general trapezoid. This would be true in the case of an isosceles trapezoid, but not all trapezoids are isosceles.
F. J is supplementary to K:
- This can be true if angles J and K are adjacent angles to the same base of a trapezoid. However, since this is not always the case, it is not guaranteed for every trapezoid.
Given these considerations, the only statement that must be true for any trapezoid JKLM is:
- C. JK is parallel to LM because a trapezoid requires at least one pair of parallel sides.
A trapezoid is a quadrilateral with at least one pair of parallel sides. Now, let's examine each statement to see which are necessarily true for a trapezoid:
A. JK is perpendicular to KL:
- This statement is not necessarily true for a trapezoid. A trapezoid does not require any sides to be perpendicular unless specified.
B. J is congruent to 2K:
- This statement does not make sense in terms of congruency, as it seems to refer to angles or lengths in an unclear way. Hence, it's not necessarily true for a trapezoid.
C. JK is parallel to LM:
- This statement is true for a trapezoid because, by definition, a trapezoid must have at least one pair of parallel sides. If JKLM is a trapezoid, then either JK is parallel to LM or another pair is, but this statement could represent the necessary condition.
D. KL is parallel to JM:
- This is not necessarily true. A trapezoid only requires one pair of sides to be parallel. The other pair does not have to be parallel.
E. J is congruent to M:
- Angles J and M are not necessarily congruent in a general trapezoid. This would be true in the case of an isosceles trapezoid, but not all trapezoids are isosceles.
F. J is supplementary to K:
- This can be true if angles J and K are adjacent angles to the same base of a trapezoid. However, since this is not always the case, it is not guaranteed for every trapezoid.
Given these considerations, the only statement that must be true for any trapezoid JKLM is:
- C. JK is parallel to LM because a trapezoid requires at least one pair of parallel sides.
Thanks for taking the time to read If JKLM is a trapezoid which statements must be true Check all that apply A JK is perpendicular to KL B J is congruent to. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
