Congruent Figures Academic Geometry. Congruent Figures Congruent figures have the same size and...
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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.](https://reader035.fdocuments.us/reader035/viewer/2022072114/5697bfeb1a28abf838cb7aa6/html5/thumbnails/1.jpg)
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.](https://reader035.fdocuments.us/reader035/viewer/2022072114/5697bfeb1a28abf838cb7aa6/html5/thumbnails/2.jpg)
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.](https://reader035.fdocuments.us/reader035/viewer/2022072114/5697bfeb1a28abf838cb7aa6/html5/thumbnails/3.jpg)
Congruent Figures
Three ways to make such a move – a slide, a flip, a turn
slide
Flip
turn
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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.](https://reader035.fdocuments.us/reader035/viewer/2022072114/5697bfeb1a28abf838cb7aa6/html5/thumbnails/5.jpg)
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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Naming Congruent Parts
Triangle TJD is congruent to Triangle RCF.List the congruent corresponding parts.Sides: ___________ ____________ __________Angles: _________ __________ __________
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Naming Congruent Parts
Triangle WYS is congruent to triangle MKV. List the congruent corresponding parts.Use three letters to name each angle.
drawingSides:Angles:
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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.](https://reader035.fdocuments.us/reader035/viewer/2022072114/5697bfeb1a28abf838cb7aa6/html5/thumbnails/9.jpg)
Finding Congruent Triangles
Decide whether the triangles are congruent. Justify your answer.
Congruent Justify4
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Finding Congruent Triangles
Decide whether the triangles are congruent. Justify your answer.
Congruent Justify
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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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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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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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