4th Grade - Congruent Figures

 
     
 
     
 
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4th
Shapes and Geometry
Congruent Figures
Identify congruent figures.
Identify figures that are the same shape and same size. Identify how the shapes move (flip, slide or turn).
 

Sample Problems

(1)

Are the two figures congruent?

(YES)

(2)

Choose the figures that are similar:

(Similar) (not similar)

(3)

How was the figure moved?

(Flip)

(4)

Find the perimeter. Are they congruent?


Perimeter=16m Perimeter=8m


(Similar, but not Congruent)

(5)

Describe how a figure moves if it slides? ____________________________

(it moves to a new position without turning or flipping into a new direction))

Learning Tips

(1)

Math Vocabulary


Congruent- having the same shape and same size


Similar (relative to congruence) - same shape, but not the same size


Transformations- different ways to move a figure (i.e. flip, turn, slide)


Slide- a movement of a figure to a new position without flipping or turning it


Flip- a movement that involves flipping a figure over a line (real or imaginary); the figures will be facing each other


Turn- a movement that involves turning or rotating a figure on one axis


Perimeter-the distance around a figure (add all sides)


(2)

Practice Moving Figures

Use cut-outs of various shapes (pairs) and practice moving them around a board (sheet of construction paper). Paste them down and label how the shapes moved (slide, flip, or turn).

(3)

Draw Congruent Figures

Use dot paper and practice drawing different figures that are congruent, similar and different. They are congruent if they use the same amount of dots and are the same shape; similar if they are the same shape, but use different amount of dots; different if they have nothing in common.


(4)

Act-Out Transformations

Show your child the different transformations by acting out how you can slide, turn and flip. For slide, just move around the room as you are. For turn, move around without moving one foot. For flip, jump or flip over an imaginary line and face the opposite direction.

(5)

Measure Perimeter

Have your child calculate the perimeter of the same shape to determine if they are congruent. Explain that some shapes can look as if they are congruent, but you may have to verify by measuring the perimeter before making a final judgment.

Extra Help Problems

(1)

Are the two figures congruent? _______________

(Congruent)

(2)

Are the two figures congruent? ___________________

(Congruent)

(3)

Are the two figures congruent? ____________________

(Not Congruent)

(4)

Are the two figures congruent? __________________

(Not Congruent)

(5)

Are the two figures congruent? __________________

(Congruent)

(6)

Are the two figures congruent? ________________

(Congruent)

(7)

Are the two figures congruent? __________________

(Congruent)

(8)

Choose the figures that are similar:

(Similar) (Not similar)

(9)

Choose the figures that are similar:

(Similar) (not similar)

(10)

Choose the figures that are similar:

(Not similar) (Similar)

(11)

How was the figure moved? _________________

(Flip)

(12)

How was the figure moved? ________________

(Turn)

(13)

How was the figure moved? ____________

(Slide)

(14)

How was the figure moved? ________________

(Flip)

(15)

How was the figure moved? ______________________

(Slide)


(16)

Find the perimeter of the two figures. Are they congruent?

Perimeter: ___________ ___________

(Perimeter=24ft; Congruent)


(17)

Find the perimeter of the two figures. Are they congruent?


Perimeter: ______________ ______________

(Perimeter=26cm) ( Perimeter=18cm)

(Not congruent)

(18)

Find the perimeter of the two figures. Are they congruent?


Perimeter: __________ __________

(Perimeter=16cm; Congruent)

(19)

Find the perimeter of the two figures. Are they congruent?


Perimeter: ___________ ___________

(Perimeter=24yd; Congruent)

(20)

Congruent means:

  1. to line up the figures

  2. Same size, but different shape

  3. Same shape and same size


(c)

(21)

Transformation means:

  1. to transform into a different shape

  2. to move a figure

  3. to form different shapes


(b)

(22)

Similar means:

  1. same shape and same size

  2. same shape, but different size

  3. same size, but different shape


(b)

(23)

Flip means:

  1. move a figure over a line by turning it over

  2. slide a figure to a new position, without lifting or turning

  3. turn around on a point


(a)

(24)

What shape has four equal sides:

  1. triangle

  2. square

  3. rectangle


(b)

(25)

Turn means:

  1. flips a figure over a line

  2. moves a figure to a new position without lifting or turning

  3. rotates a figure around a point


(c)

 

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