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Transcript
Bell Work: 1. Identify the angle relationships in the figure to the right 2. Are any of the lines parallel? How do you know? 3. Write the equation of a line in slopeintercept from which has a slope of 7 and a y-intercept of -3 4.1: Congruent Figures Notes For two figures to be congruent, every part of each figure must be congruent. All angles and lines must correspond exactly with one angle or line on the other figure. Theorem 4-1: Third Angles Theorem If two angles of one triangle are congruent to two angles of another triangle, then the third angles must be congruent as well. Assume these triangles are congruent… What is the measure of angle D? What can we conclude about the side lengths of the triangles? If we changed the scale of the jet on the right, what would happen to the side lengths of the triangles? If we changed the scale as in the question above, would the triangles still be congruent? Are these figures congruent? Justify your answer. Congruent Triangles How many conditions must be found to show two triangles are congruent? How do we know the third sides are congruent? How do we know the third angles are congruent? What do we need in order for these two triangles to be congruent? What do they have in common? Are these triangles congruent? 4.2: Congruent Triangles using SSS and SAS What can we conclude about the two triangles? Postulate 4-1: Side-Side-Side (SSS) Postulate If all three sides of two triangles are congruent to each other, then the triangles are congruent Can we conclude these triangles are congruent? Postulate 4-2: Side-Angle-Side (SAS) Postulate If two sides and the angle between them of one triangle are congruent to two sides and the angle between them of another triangle, the triangles are congruent Using SAS Homework: 4.1, page 222: 22, 23, 24, 30, 40 Honors: Add 34, 44 4.2, page 231: 11-14, 16, 18 Honors: Add 22, 26