What are congruent figures?

Congruent Shapes

Congruent Shapes:

Congruent Shapes are shapes that have exactly the same shape and are the same size.

All corresponding sides and angles are also congruent.

We use the symbol to indicate congruency.

Multiple Choice

Congruent Figures:

• Have the same shape but are not the same size.

• Have the same shape and size.

• Are the same size, but not the same shape.

• Have great dance moves, but no rythm.

Multiple Choice

Tell whether the two figures are congruent.

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Are these two shapes congruent or not congruent?

• congruent
• not congruent

Multiple Choice

Are these two shapes congruent or not congruent?

• congruent
• not congruent

Multiple Choice

Are these shapes congruent?

• Yes

• No

​

We indicate congruent sides using tick marks.

The sides and angles in congruent figures, on corresponding parts are always congruent.

Sides with the same number of tick marks are congruent

The angles with the same number of arches are congruent


When listing congruency between figures, you must list the corresponding angles, vertecies, segments, ect. in the same order on each shape.

Multiple Choice

Cody has 2 pieces of flooring pictured below.

If △SPR ≅ △ING, what is true about the sides?

• SP ≅ IN ; SR = NG ; PR ≅ IG

• SR ≅ IG; SP ≅ NG; PR ≅ IN

• SP ≅ IN ; SR ≅ IG ; PR ≅ NG

• PR ≅ NG; RS ≅ IN; SP ≅ IG

Multiple Choice

▵XYZ is congruent to ▵X’Y’Z’, only if m<Y’Z’X’ is equal to what value?

• 40⁰

• 60⁰

• 80⁰

• 160⁰

Multiple Choice

ΔABC ≅ ΔDEF

If m<BAC = 105° and CB = 5 units, then..

m<EDF = __________ and FE = ________ ?

• m<EDF = 105° ; FE = 5

• m<EDF = 105° ; FE = 2

• m<EDF = 210° ; FE = 10

• m<EDF = 75° ; FE = 5

Multiple Choice

Which of the following statements is true?

• ∆BCA ≅ ∆DEF
• ∆EFD ≅ ∆BAC
• ∆ABC ≅ ∆FED
• ∆EDF ≅ ∆BAC

Multiple Choice

What is the correct congruence statement?  ΔDEC ≅________

• ΔAEB
• ΔEAB
• ΔBEA
• Not Congruent

Multiple Choice

What side corresponds to ED?

• TA
• NA
• TN
• RD

Multiple Choice

PICK THE CORRECT CONGRUENCE STATEMENT

• ∆TUV ≅ ∆EUV
• ∆VUT ≅ ∆UVE
• ∆TUV ≅ ∆UEV
• ∆UTV ≅ ∆EUV

Multiple Choice

Use the congruence statement to find the missing part of the statement

• WV
• WU
• VU
• WB

Multiple Choice

Use the congruence statement and figure to find the missing part of the statement

• ∠U
• ∠RUT
• ∠UTR
• ∠R