A partaly completed proot is shown. Cter: ACD ia a quadrilateral, ZBAC ZICA, ZB ZD, AB | CD Proee: AICDa a purallelogram. B D ntements Annsone AIGD Ia a quadrtlateral. Cien a. AC CA 4. AABC ACDA . AD CBk AB CD AIGD ts a parallelogram. Part A: What reason woud correcty juatiy statament 47 O Sidn Side Side Poshiate • Angle Side Angle Postulate O Sida Angla Side Posate O Angle Angle ide Theorem Part B: What reason wauld comecty justty statement 67 O Comresponding parts of congruent trianglas are congruent both pairs of opposile sides ara congruant, than the quadrlateral is a paralelogram. O Photh pains of opposite angies are congruant, then the quadrilatoral is a paralelogram. O Retaxve property of congrance

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
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Apartally complatod proof is shown.
Ctuen: ABCD is a quadrilateral, ZBAC= ZDCA, ZB= ZD, AB | CD
Proe: ABCD is a parallelogram.
B
D
statements
Reacone
ABCDa a quadilateral.
Gien
Given
3.
a. AC = CA
4. AABC ACDA
5. AD= CB& AB CD
AICD ia a paralledagram.
Part A: What reason would correcty justity statement 4?
O Side Side Side Poshiate
• Angle Side Angle Postulate
O Side Angle Side Postulate
O Angle Angle Side Theorem
Part B: What reason would comectly justty statement 67
O Comesponding parts of congruent triangles are congnuent
• r both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram.
o r both pairs of opposite angles are congruent, then the quadrilateral is a paraleiogram.
O Refaxive property of congnuance
Transcribed Image Text:Apartally complatod proof is shown. Ctuen: ABCD is a quadrilateral, ZBAC= ZDCA, ZB= ZD, AB | CD Proe: ABCD is a parallelogram. B D statements Reacone ABCDa a quadilateral. Gien Given 3. a. AC = CA 4. AABC ACDA 5. AD= CB& AB CD AICD ia a paralledagram. Part A: What reason would correcty justity statement 4? O Side Side Side Poshiate • Angle Side Angle Postulate O Side Angle Side Postulate O Angle Angle Side Theorem Part B: What reason would comectly justty statement 67 O Comesponding parts of congruent triangles are congnuent • r both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram. o r both pairs of opposite angles are congruent, then the quadrilateral is a paraleiogram. O Refaxive property of congnuance
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