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Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, E is the midpoint of AB and F is the midpoin of DC. Prove: DE FB. Step 1 2 3 4 5 7 8 Statement ABCD is a parallelogram E is the midpoint of AB F is the midpoint of DC DC AB DF = DC EB= AB DF EB DC | AB Type of Statement DFBE is a parallelogram Reason Given Opposite sides of a parallelogram are congruent When a midpoint divides a segment into two parts, each part is half the length of the whole segment When a midpoint divides a segment into two parts, each part is half the length of the whole segment Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent

Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, E is the midpoint of AB and F is the midpoin of DC. Prove: DE FB. Step 1 2 3 4 5 7 8 Statement ABCD is a parallelogram E is the midpoint of AB F is the midpoint of DC DC AB DF = DC EB= AB DF EB DC | AB Type of Statement DFBE is a parallelogram Reason Given Opposite sides of a parallelogram are congruent When a midpoint divides a segment into two parts, each part is half the length of the whole segment When a midpoint divides a segment into two parts, each part is half the length of the whole segment Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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! 1 Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, E is the midpoint of AB and F is the midpoint of DC. Prove: DE FB. Step 1 N 3 6 2 7 Statement ABCD is a parallelogram E is the midpoint of AB F is the midpoint of DC → DC DF = DC AB EB = ¦ AB DF EB Type of Statement DC AB #m DFBE is a parallelogram с $ 4 Reason Given Opposite sides of a parallelogram are congruent When a midpoint divides a segment into two parts, each part is half the length of the whole segment When a midpoint divides a segment into two parts, each part is half the length of the whole segment Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent % 5 DELL Oll < 10 6 & 7 3 8
Transcribed Image Text:! 1 Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, E is the midpoint of AB and F is the midpoint of DC. Prove: DE FB. Step 1 N 3 6 2 7 Statement ABCD is a parallelogram E is the midpoint of AB F is the midpoint of DC → DC DF = DC AB EB = ¦ AB DF EB Type of Statement DC AB #m DFBE is a parallelogram с $ 4 Reason Given Opposite sides of a parallelogram are congruent When a midpoint divides a segment into two parts, each part is half the length of the whole segment When a midpoint divides a segment into two parts, each part is half the length of the whole segment Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent % 5 DELL Oll < 10 6 & 7 3 8
esc JL ! 1 9 5 a 6 7 8 9 J 2 Type of Statement DF EB DFBE is a parallelogram DC || AB D W S J J DE FB A #m You must answer all questions above in order to submit. d $ 4 Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent Opposite sides of a parallelogram are parallel r F Note: AB and DC are segments. E % 5 t DELL Oll < 6 9 y C 7 h B u 8
Transcribed Image Text:esc JL ! 1 9 5 a 6 7 8 9 J 2 Type of Statement DF EB DFBE is a parallelogram DC || AB D W S J J DE FB A #m You must answer all questions above in order to submit. d $ 4 Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent Opposite sides of a parallelogram are parallel r F Note: AB and DC are segments. E % 5 t DELL Oll < 6 9 y C 7 h B u 8
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