SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
Proving Rhombi and
Squares using
Coordinate Geometry
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
HW REVIEW
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
HW REVIEW
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
Question:
Are all sides
?
Formula:
Work:
AB
4
BC
5
0
= 25
CD
4
3
= 25
AD
5
3
0
= 25
= 25
Statement:
Quad ABCD is a
rhombus b/c all
the sides are .
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
Question:
Are all sides
?
Formula:
Work:
DE
4
EV
-4
3
= 25
VA
4
3
= 25
AD
-4
3
3
= 25
= 25
Statement:
Quad DAVE is a
rhombus b/c all
the sides are .
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
Question:
Are all sides
?
Formula:
Work:
AB
-8
BC
8
6
= 100
CD
-8
6
= 100
DA
8
6
6
= 100
= 100
Statement:
Quad ABCD is a
rhombus b/c all
the sides are .
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
Question:
Is this a rhombus and a rectangle?
Formula:
Work: Step 1: Prove Rhombus
AB
4
BC
CD
4
DA
-3
3
-3
= 25
4
= 25
3
= 25
4
= 25
Step 2: Prove Rectangle
AC
-7
1
= 50
BD
1
7
= 50
Statement:
Quad ABCD is a
square b/c it’s a
rhombus and a
rectangle.
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry
Question:
Is this a rhombus and a rectangle?
Formula:
Work: Step 1: Prove Rhombus
AD
4
DC
CB
4
BA
-3
3
-3
= 25
4
= 25
3
= 25
4
= 25
Step 2: Prove Rectangle
AC
-7
1
= 50
BD
1
7
= 50
Statement:
Quad ABCD is a
square b/c it’s a
rhombus and a
rectangle.
SWBAT: Proving Rhombi and Squares Using Coordinate Geometry