Download - Are the opposite sides QU and AD congruent?
![Page 1: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/1.jpg)
Are the opposite sides QU and AD congruent?
(Use the distance formula!)
QU 42 + 42 = d2
16 + 4 = d2
20 = d2
d =
AD 82 + 42 = d2
64 + 16 = d2
80 = d2
d =
NO, they aren’t congruent!(different lengths)
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
![Page 2: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/2.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
Are the opposite sides AB and CD congruent?
(Use the distance formula!)
AB 52 + 42 = d2
25 + 16 = d2
41 = d2
d =
CD 52 + 42 = d2
25 + 16 = d2
41 = d2
d =
Yes, they are congruent!(same lengths)
![Page 3: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/3.jpg)
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
(Use the midpoint formula!)NO, they don’t bisect each other!(not same midpoint)
Do the diagonals bisect each other?
QA
(.5, 1.5)
UD
(-1.5, .5)
![Page 4: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/4.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
(Use the slope formula!)
AD
BC
Yes, they are parallel!(same slopes)
Are the opposite sides AD and BC parallel?
![Page 5: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/5.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
Are the diagonals perpendicular?
(Use the slope formula!)
AC BD
Yes, they are perpendicular!(b/c the slopes are opp recips)
![Page 6: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/6.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
(Use the slope formula!)
AB CD
Yes, they are parallel!(same slopes)
Are the opposite sides AB and CD parallel?
![Page 7: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/7.jpg)
Are the diagonals perpendicular?
(Use the slope formula!)
QA UD
NO, they aren’t perpendicular!(b/c the slopes aren’t opp recips)
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
![Page 8: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/8.jpg)
Are the opposite sides UA and QD congruent?
(Use the distance formula!)
UA 32 + 12 = d2
9 + 1 = d2
10 = d2
d =
QD 12 + 32 = d2
1 + 9 = d2
10 = d2
d =
Yes, they are congruent!(same lengths)
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
![Page 9: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/9.jpg)
(Use the slope formula!)
QU
AD
Yes, they are parallel!(same slopes)
Are the opposite sides QU and AD parallel?
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
![Page 10: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/10.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
Are the opposite sides BC and AD congruent?
(Use the distance formula!)
BC 42 + 52 = d2
16 + 25 = d2
41 = d2
d =
AD 42 + 52 = d2
16 + 25 = d2
41 = d2
d =
Yes, they are congruent!(same lengths)
![Page 11: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/11.jpg)
(Use the slope formula!)
UA QD
NO, they aren’t parallel!(different slopes)
Are the opposite sides UA and QD parallel?
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
![Page 12: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/12.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
Are the diagonals congruent?
(Use the distance formula!)
AC 12 + 92 = d2
1 + 81 = d2
82 = d2
d =
BD 12 + 92 = d2
1 + 81 = d2
82 = d2
d =
Yes, they are congruent!(same lengths)
![Page 13: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/13.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
(Use the slope formula!)
BC
Yes, they are perpendicular!(slopes opp reciprocals)
Are the consecutive sides AB and BC perpendicular?
AB
![Page 14: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/14.jpg)
(Use the slope formula!)
NO, they aren’t perpendicular!(slopes not opp reciprocals)
Are the consecutive sides QU and UA perpendicular?
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
QU UA
![Page 15: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/15.jpg)
Are the diagonals congruent?
(Use the distance formula!)
QA 72 + 12 = d2
49 + 1 = d2
50 = d2
d =
UD 52 + 52 = d2
25 + 25 = d2
50 = d2
d =
Yes, they are congruent!(same lengths)
Given quadrilateral QUADQ(-3, 1) U(1, 3) A(4, 2) D(-4, -2)
![Page 16: Are the opposite sides QU and AD congruent?](https://reader036.vdocuments.us/reader036/viewer/2022062301/568161cf550346895dd1c40d/html5/thumbnails/16.jpg)
Given quadrilateral ABCDA(-4, 5) B(1, 1) C(-3, -4) D(-8, 0)
(Use the midpoint formula!) Yes, they bisect each other!(same midpoint)
Do the diagonals bisect each other?
AC
(-3.5, .5)
BD
(-3.5, .5)