What To Do If Two Sides Of A Triangle Are All Right Angles?
Theorems
1 All right angles are congruent.
2 Perpendicular lines form right angles.
3 If two angles are complements or supplements to the same or congruent angles, they are congruent.
4 Two adjacent angles that fall on the same line form a linear pair and are supplementary.
5 Corresponding parts of congruent triangles are congruent.
6 If two sides of a triangle are congruent the angles opposite are congruent.
7 If two angles in a triangle are congruent the sides opposite are congruent.
8 The base angles of an isosceles triangle are congruent.
9 If two angles of a triangle are congruent then the triangle is isosceles.
10 The measure of an exterior angle of a triangle is equal to the measure to the sum of the measures of two remote interior …show more content…
12 Two lines cut by a transversal are parallel if a pair of corresponding angles is congruent.
13 Two lines cut be a transversal are parallel if s pair of interior angles on the same side of the transversal are supplementary.
14 Two lines are parallel if they are perpendicular to the same line.
15 Two lines are parallel if they are parallel to the same line.
16 All right angles are congruent.
17 Vertical angles are congruent.
18 If two angles are complements (supplements) to the same or congruent angles then they are congruent.
19 The sum of two sides of a triangle must be greater than the third.
20 If two intersecting lines form adjacent, congruent angles then they are perpendicular.
Parallelogram:
21 The opposite sides of parallelogram are congruent.
22 The opposite angles of a parallelogram are congruent.
23 The consecutive angles of a parallelogram are supplementary.
24 The diagonals of a parallelogram bisect each other.
25 If both pairs of opposite sides are parallel then the quadrilateral is a parallelogram.
26 If both pairs of opposite sides are congruent then the quadrilateral is a parallelogram.
27 If both pairs of opposite angles are congruent then the quadrilateral is a …show more content…
(A midpoint divides a segment in half)
4 Angle bisector: An angle bisector divides an angle into two congruent angles. (A midpoint divides an angle in half)
5 Line bisector: Any line that intersects a segment at its midpoint.
6 Median: A median of a triangle is a line that joins any vertex of a triangle to the midpoint of its opposite side.
7 Altitude: The altitude of a triangle is a line segment down from any vertex of a triangle perpendicular to the opposite side.
8 Perpendicular Bisector: A perpendicular bisector is a line that is perpendicular to the line segment and bisects the line segment.
9 Complementary angles: Two angles whose sum is 90.
10 Supplementary angles: Two angles whose sum is 180.
11 Perpendicular lines: Two lines that intersect at a right angle.
12 Collinear: All on one line.
13 Linear pair: If the exterior of two adjacent angles are opposite rays then they form a linear pair and are supplementary.
14 Altitude: An altitude of a triangle is line segment drawn from any vertex of a triangle, perpendicular to the opposite side.
15 Isosceles triangle: A triangle that has two congruent sides.
16 Parallel lines: Lines that lie in the same plane and have no points in
1 All right angles are congruent.
2 Perpendicular lines form right angles.
3 If two angles are complements or supplements to the same or congruent angles, they are congruent.
4 Two adjacent angles that fall on the same line form a linear pair and are supplementary.
5 Corresponding parts of congruent triangles are congruent.
6 If two sides of a triangle are congruent the angles opposite are congruent.
7 If two angles in a triangle are congruent the sides opposite are congruent.
8 The base angles of an isosceles triangle are congruent.
9 If two angles of a triangle are congruent then the triangle is isosceles.
10 The measure of an exterior angle of a triangle is equal to the measure to the sum of the measures of two remote interior …show more content…
12 Two lines cut by a transversal are parallel if a pair of corresponding angles is congruent.
13 Two lines cut be a transversal are parallel if s pair of interior angles on the same side of the transversal are supplementary.
14 Two lines are parallel if they are perpendicular to the same line.
15 Two lines are parallel if they are parallel to the same line.
16 All right angles are congruent.
17 Vertical angles are congruent.
18 If two angles are complements (supplements) to the same or congruent angles then they are congruent.
19 The sum of two sides of a triangle must be greater than the third.
20 If two intersecting lines form adjacent, congruent angles then they are perpendicular.
Parallelogram:
21 The opposite sides of parallelogram are congruent.
22 The opposite angles of a parallelogram are congruent.
23 The consecutive angles of a parallelogram are supplementary.
24 The diagonals of a parallelogram bisect each other.
25 If both pairs of opposite sides are parallel then the quadrilateral is a parallelogram.
26 If both pairs of opposite sides are congruent then the quadrilateral is a parallelogram.
27 If both pairs of opposite angles are congruent then the quadrilateral is a …show more content…
(A midpoint divides a segment in half)
4 Angle bisector: An angle bisector divides an angle into two congruent angles. (A midpoint divides an angle in half)
5 Line bisector: Any line that intersects a segment at its midpoint.
6 Median: A median of a triangle is a line that joins any vertex of a triangle to the midpoint of its opposite side.
7 Altitude: The altitude of a triangle is a line segment down from any vertex of a triangle perpendicular to the opposite side.
8 Perpendicular Bisector: A perpendicular bisector is a line that is perpendicular to the line segment and bisects the line segment.
9 Complementary angles: Two angles whose sum is 90.
10 Supplementary angles: Two angles whose sum is 180.
11 Perpendicular lines: Two lines that intersect at a right angle.
12 Collinear: All on one line.
13 Linear pair: If the exterior of two adjacent angles are opposite rays then they form a linear pair and are supplementary.
14 Altitude: An altitude of a triangle is line segment drawn from any vertex of a triangle, perpendicular to the opposite side.
15 Isosceles triangle: A triangle that has two congruent sides.
16 Parallel lines: Lines that lie in the same plane and have no points in