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Transcript
Vocabulary for Unit 4 Geometry Scale factor Ratio of Area Similar Corresponding Congruent Perpendicular Parallel Bisector Bisect Angle bisector Perpendicular bisector Ray Line Distance from a point to a line Segment Isosceles Perimeter Area Equidistant Concurrency Altitude Conjecture Theorem Proportion Median Midpoint Do you know all of these definitions? Did I miss any important vocabulary words? Here are some of our named theorems for Unit 4. Can you write out the words and draw a picture of each one? AA Similarity Theorem SAS Similarity Theorem SSS Similarity Theorem SAS Congruency Theorem SSS Congruency Theorem ASA Congruency Theorem AAS Congruency Theorem Did I miss any named theorems? Here are some of our theorems that don’t have names from Unit 4. You should be able to draw a picture of each one. The base angles of an isosceles triangle are congruent. If two angles of a triangle are congruent, then the sides opposite those angles are congruent. If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. If a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment. If a point lies on the bisector of an angle, then it is equidistant from the sides of the angle. If a point is equidistant from the sides of an angle, then it lies on the bisector of the angle. A midsegment of a triangle is half the length and parallel to the third side. The point where the perpendicular bisectors of a triangle intersect is equidistant from all three vertices of the triangle. The point where the angle bisectors of a triangle intersect is equidistant from all three sides of the triangle. Are there any others? Skills Can you prove that two triangles are similar? Can you prove that two triangles are congruent? Can you prove conjectures in general? Do you know the difference between an observation and a conclusion? Can you solve proportions? Can you set up proportions from similar triangles? Given two lengths for sides of triangles, can you find the possibilities for the length of the third side? Can you correctly label diagrams? Can you draw diagrams to illustrate written statements? Can you find area and perimeter of similar triangles? Can you find a counterexample to show that there is no SSA congruency theorem? Can you use similar triangles to solve problems? Can you use congruent triangles to solve problems?
