4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you...

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4-1 Congruent Figures

Transcript of 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you...

Page 1: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

4-1 Congruent Figures

Page 2: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

• Congruent figures have same size and shape• When 2 figures are congruent you

can slide, flip, or turn one so that it fits exactly on the other one

Page 3: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Congruent FiguresCongruent Polygons: Have congruent corresponding parts – matching sides and angles. When naming congruent polygons you must list corresponding vertices in the same order

Page 4: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Problem 1: Finding Congruent Parts, what are the congruent

corresponding parts?SIDES:

ANGLES:

Page 5: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Problem 2: Using Congruent Parts

The wings of an SR-71 Blackbird aircraft suggest congruent triangles. What is m<D?

Page 6: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Suppose that

What is

Page 7: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Problem 3: Finding Congruent Triangles

Are the triangles congruent? Justify your answer.

Page 8: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Are the triangles congruent? Justify your answer.

Page 9: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Third Angles TheoremIf two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent

Page 10: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.

Problem 4: Proving Triangles Congruent

Page 11: 4-1 Congruent Figures. Congruent figures have same size and shape When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly.