SWBAT: Write a Proof Involving Rectangles

MP of ___ =

MP of ___ =

Question:

Formula:

Work:

18

74

Statement: GHIJ is a rectangle

b/c it’s a parallelogram with diags.

Is this a parallelogram with diags?

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

HW ANSWERS

SWBAT: Write a Proof Involving Rectangles

HW ANSWERS

SWBAT: Write a Proof Involving Rectangles

HW ANSWERS

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

ABCD is a rectangle. Given

If rect. ⇢ opp sides

D and C are right s

If rect. ⇢ right ∡s

D C All right ∡s

AD BC

AC BD

If rect. ⇢ diags HL (3, 5, 2)

R

L

H

SWBAT: Write a Proof Involving Rectangles

ABCD is a rectangle. Given

If rect. ⇢ opp sides

A and B are right s

If rect. ⇢ right ∡sA B All right s

AD BC

AM BM

Def of midpoint

SAS (2, 4, 6)

Given

CPCTCDAM CBM

M is the midpoint of AB

9. DMC is isosceles 9. isosceles

S

A

S

SWBAT: Write a Proof Involving Rectangles

SWBAT: Write a Proof Involving Rectangles

X X

X

RSTU is a Parallelogram. GivenIf parall. ⇢ opp sides RU

ST Given∡ U ∡ T

UT UT

Reflexive Property

SAS

SAS (2, 3, 4)RUT STU

RT SU

CPCTCRSTU is a Rectangle. If a parall. has diags

⇢ rectangle. (1, 6)