Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and...

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Congruent Figures Academic Geometry

Transcript of Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and...

Page 1: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Congruent Figures

Academic Geometry

Page 2: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Congruent Figures

Congruent figures have the same size and shape.

When two figures are congruent, you can move one so that it fits exactly on the other one.

Page 3: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Congruent Figures

Three ways to make such a move – a slide, a flip, a turn

slide

Flip

turn

Page 4: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Congruent Figures

Congruent polygons have congruent corresponding parts – their matching sides and angles.

Matching vertices are corresponding vertices. When you name congruent polygons, always list corresponding vertices in the same order.

Page 5: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Congruent Figures

Is this a flip a slide or a turn? ____________What corresponds to angle C? __________What corresponds to angle B? __________AX corresponds to __________________

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Page 6: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Naming Congruent Parts

Triangle TJD is congruent to Triangle RCF.List the congruent corresponding parts.Sides: ___________ ____________ __________Angles: _________ __________ __________

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Page 7: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Naming Congruent Parts

Triangle WYS is congruent to triangle MKV. List the congruent corresponding parts.Use three letters to name each angle.

drawingSides:Angles:

Page 8: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Finding Congruent Triangles

Two triangles are congruent when they have three pairs of congruent corresponding sides and three pairs of congruent corresponding angles.

Page 9: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Finding Congruent Triangles

Decide whether the triangles are congruent. Justify your answer.

Congruent Justify4

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a

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Page 10: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Finding Congruent Triangles

Decide whether the triangles are congruent. Justify your answer.

Congruent Justify

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Page 11: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Theorem 4-1

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

Angle C is congruent to Angle F

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Page 12: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Proving Triangles Congruent

Given PQ congruent PS, QR congruent SR, <Q congruent <S, <QPR congruent SPRProve Triangle PQR congruent PSR

Statement Reason

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Page 13: Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and shape. When two figures are congruent, you can move one.

Proving Triangles Congurent

Given: < A congruent <D, <E congruent <C, AE congruent DC, EB congruent CB, BA congruent BDProve: Triangle AEB congruent DCB

Statement Reasona

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