Complete the proof by filling in the missing statements and reasons. * Given: A • Quadrilateral FAIR is an isosceles trapezoid. Point D is the midpoint of IR. Prove: A FDA is isosceles. R Statements Reasons 1. Quadrilateral FAIR is an isosceles trapezoid. 1. Given 2. FR E AI 2. 3. 3. 4. Point D is the midpoint of IR. 4. Given 5. 5. Definition of midpoint 6. 6. SAS Congruence postulate 7. 7. СРСТС 8. A FDA is isosceles 8.
Complete the proof by filling in the missing statements and reasons. * Given: A • Quadrilateral FAIR is an isosceles trapezoid. Point D is the midpoint of IR. Prove: A FDA is isosceles. R Statements Reasons 1. Quadrilateral FAIR is an isosceles trapezoid. 1. Given 2. FR E AI 2. 3. 3. 4. Point D is the midpoint of IR. 4. Given 5. 5. Definition of midpoint 6. 6. SAS Congruence postulate 7. 7. СРСТС 8. A FDA is isosceles 8.
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
Related questions
Question
![Complete the proof by filling in
the missing statements and
reasons. *
F
A
Given:
Quadrilateral FAIR is an isosceles
trapezoid.
Point D is the midpoint of IR.
Prove: A FDA is isosceles.
R
D
Statements
Reasons
1. Quadrilateral FAIR is an isosceles trapezoid. 1. Given
2. FR E AI
2.
3.
3.
4. Point D is the midpoint of IR.
4. Given
5.
5. Definition of midpoint
6.
6. SAS Congruence postulate
7.
7. СРСТС
8. A FDA is isosceles
8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23eb3645-127c-4bc4-bc9f-75d97ae1dfb3%2F2d7dcf11-a45f-4b95-9918-5b93190c9b5c%2Fy34scxd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complete the proof by filling in
the missing statements and
reasons. *
F
A
Given:
Quadrilateral FAIR is an isosceles
trapezoid.
Point D is the midpoint of IR.
Prove: A FDA is isosceles.
R
D
Statements
Reasons
1. Quadrilateral FAIR is an isosceles trapezoid. 1. Given
2. FR E AI
2.
3.
3.
4. Point D is the midpoint of IR.
4. Given
5.
5. Definition of midpoint
6.
6. SAS Congruence postulate
7.
7. СРСТС
8. A FDA is isosceles
8.
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