Use the Alternate interior Angles Theorem. If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent. 7 62/87,21 In the figure, angles 4 and 5 are consecutive interior angles. In the figure, angles 5 and 7 are vertical angles. 5 62/87,21 In the figure, angles 4 and 5 are consecutive interior angles ...
Jan 24, 2018 - Vertical Angles and Angle Sum Theorem Proofs Practice Worksheets: This set of classwork and homework assignments will help your students practice completing the proofs of the Vertical Angles Theorem and the Angle Sum Theorem. These practice worksheets include a 2-page classwork assignment and a 2-p...
the congruent triangles formed by the slope of the line. Lesson 5 Slope and Similar Triangles 19 Slope and Congruent Triangles KeyConcept Words The simplified ratio of the vertical side length to the horizontal side length of each congruent triangle formed by the slope of a line is equivalent to the absolute value of the slope. Example ratio:
Theorem 2-5 If two angles are congruent and supplementary, then each is a right angle. Try filling in the blanks and then check your answer with the link below.
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.
Theorem 2.5 Congruence of angles is reflexive, symmetric, and transitive. (p. 108) Theorem 2.6 Angles supplementary to the same angle or to congruent angles are congruent. (p. 109) Abbreviation: suppl. to same or are . Theorem 2.7 Angles complementary to the same angle or to congruent angles are congruent.
C-2 Vertical Angles Conjecture - If two angles are vertical angles, then they are congruent (have SAS Congruence Conjecture - If two sides and the included angle of one triangle are congruent to The Pythagorean Theorem - In a right triangle, the sum of the squares of the lengths of the legs equals.
Supplement Theorem: If two angles form a linear pair, then they are supplementary angles. Congruence of Angles: Congruence of angles is reflexive, symmetric, and transitive. Vertical angles are congruent. Perpendicular lines intersect to form four right angles.
Proving Theorems about Lines and Angles? ... SAS criterion for congruent triangles. Alternate Interior Angles Theorem. Transitive Property of Equality.