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Two angles are complementary angles if they add up to _____ degrees. They do not have to be next to each other. When two lines intersect, four angles are created to having a point of intersection at the _____. The angles that are _____ from each other are considered to be vertical angles. They are also _____.
Introduction to proofs: Identifying geometry theorems and postulates ANSWERS C congruent ? 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 ...
The alternate interior angles have the same degree measures because the lines are parallel to each other. Congruent Complements Theorem. If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent. Congruent Supplements Theorem. If two angles are supplements of the same angle (or of congruent ...
Linear Pair Theorem: If two angles form a linear pair then they are adjacent and are supplementary. Third Angle Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent.
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.
Congruent Triangles. If two triangles are congruent, then all of the parts of one triangle are congruent to the corresponding parts of the other triangle. This means that the corresponding sides and the corresponding angles are congruent.
Prove geometric theorems by using deductive reasoning. Choices for Reasons in Proofs Reason If you see this…. (examples) Congruent Complements Theorem If two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent. Congruent Supplements Theorem If two angles are supplementary to the same ...
