Proving Rectangles

x =

(a)  

Tags

CCSS.HSG.CO.C.11

To prove a shape is a rectangle you usually first must know

• That the shape is a parallelogram

• What today's date is

• That the shape has 4 sides congruent

• That the shape is isosceles

Tags

CCSS.HSG.C.A.3

Which of the following is not a way to prove a shape is a rectangle?

• prove it's equiangular

• prove it's a parallelogram, then prove that it has 1 right angle

• prove it's a parallelogram, then prove the diagonals are congruent

• prove it's a parallelogram, then prove opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

Is Rectangle Q similar to Rectangle R? Why or Why not?

• Yes! The corresponding angles and congruent.

• No! They have different areas.

• No! The corresponding angles are congruent but the corresponding sides aren't proportional.

• Yes! They are both rectangles that are different sizes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are all rectangles similar?

• Yes! They are the same shape but different sizes.

• Yes! Rectangles have all right angles so all angles are congruent.

• No! The corresponding angles aren't congruent.

• No! The corresponding angles are congruent but the corresponding sides are not always proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Since this is a ​ (a)   , all bisections are ​ (b)   . WY is the same as ​ (c)   . To find ​ (d)   , double the bisection amount. VX = ​ (e)   .

• rectangle

• square

• congruent

• XY

• VX

• 32

• 16

• 8

Tags

CCSS.HSG.CO.C.11

Solve for x:

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.8

Given a RECTANGLE in picture, QS is:

• 41

• 82

• 20.5

• not determinable

Tags

CCSS.HSG.CO.C.11

Given a RECTANGLE in picture, find KO:

(a)  

Tags

CCSS.HSG.CO.C.11

Which of the following is true about the diagonals of a rectangle? Select all that are true.

• Diagonals bisect each other

• Diagonals are congruent

• Diagonal are perpendicular

• Diagonals bisect the angles

Tags

CCSS.HSG.CO.C.11