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  1. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. Isosceles triangle theorem. If two sides of a triangle are equal in measure, then the angles opposite those sides are equal in measure.

  2. the angle relationship between the angles that you are working with. Are they supplementary (sum to 180 0 ) OR complementary(sum to 90 )? Are they congruent to each other? vertical, alternate interior, alternate exterior , or corresponding angles.

  3. Problems on complementary and supplementary angles are most easy to solve if you just remember the numbers 90 and 180. With the definitions given below, you will know how these numbers have been used in angles. You have ample problems to identify and calculate the missing measure of angles.

  4. Explain using geometry concepts and theorems: 1) Why is the triangle isosceles? PR and PQ are radii of the circle. Therefore, they have the same length. A triangle with 2 sides of the same length is isosceles. 2) Why is an altitude? AB = AB (reflexive) therefore, ACAB= ADAB (side-angle-side) If triangles are same, then L ABC = LABD (CPCTC)

  5. TRIANGLES. Exercise 1. Find the missing angles and give reasons for your answers. Exercise 2. Set up an equation to find x in each of the following. Reasons MUST be clearly stated. Parallel Lines with more complicated diagrams. Exercise 3. 3.1. Find the values of a to g, giving reasons in each case.

  6. Corollary: The acute angles of a right triangle are complementary. 4.2 Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. 4.3 Third Angles Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the third

  7. 5 gru 2018 · Theorem 2.7 Angles complementary to the same angle or to congruent angles are congruent. (p. 109) Abbreviation: compl. to same or are . Theorem 2.8 Vertical Angle Theorem If two angles are vertical angles, then they are congruent.