Congruent Figures. Congruent figures have the same size and shape. Congruent polygons have congruent corresponding parts - their matching sides and angles.

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Presentation transcript:

Congruent Figures

Congruent figures have the same size and shape. Congruent polygons have congruent corresponding parts - their matching sides and angles.

When you name congruent polygons, always list corresponding vertices in the same order.  ABC   QTR  A   Q  B   T  C   R AB  QT BC  TR AC  QR R

Given  CAT   DOG, what can you conclude?  C   D  A   O  T   G CA  DO AT  OG CT  DG  ATC   OGD  TCA   GDO

Name 3 pairs of corresponding sides. Name 3 pairs of corresponding angles. Can I say ? M A B N O Y

Triangles are congruent when they have three pairs of congruent corresponding sides and three pairs of congruent corresponding angles. Find two congruent triangles:

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. A B C D E F  C   F

Can you conclude these figures are congruent?

Find the measure of the missing angles. The two figures are congruent.

Tell why each statement is true.

Use the information in the diagram to give a reason why each statement is true. StatementReason Given Reflexive Prop of  2 angles congruent… Given Def of  triangles