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Summary of geometry For prep one(1st term) 1-The sum of measure of two complementary angles=90° 2-The sum of measure of two supplementary angles =180° 3-The measure of straight angle is 180° 4-If line segment extends from both directions without limit we will get straight line 5-If line segment extends from one of its terminals without limit it will be ray 6-The angle is union of two rays with the same starting point 7-The acute angle supplements obtuse angle 8-The acute angle complements acute 9-The right angle supplements right 10-zero angle complements right and supplement straight angle 11-The angle whose measure is greater than 180° but less than360° is called reflex and the acute angle less than 90° and more than 0° 12-the complement of the equal angles in measure are equal 13-If ∠A , ∠B are supplementary and m (∠A)= m (∠B) then m (A)=90 14-If ∠A , ∠B are complementary and m (∠A)= m (∠B) then m (∠A)=45° 15-If two adjacent angles are complementary ,then their outer sides are perpendicular 16-If two adjacent angles are supplementary ,then their outer sides are on the same straight line 17-The sum of measure of accumulative angles at point = 4right angle or 2striaght angle 18-The sum of the measure of two adjacent angles formed by a straight line and ray is 180° 19-The sum of the measure of the accumulative angles at a point=360° 20-If the outer sides of the two adjacent angle are on the same straight line ,then the two angles are supplementary 21-If two straight lines intersect ,then each two vertically opposite angles are equal 22-If m (∠A)+ m (∠B)=180 , then ∠A , ∠B are supplementary 23-Two adjacent angles formed by a straight line and a ray with a starting point on this straight line are supplementary 24-The two line segment are congruent if they are equal in length 25-The two angle are congruent if they are equal in measure 26-two polygons are congruent if there is a corresponding between their vertices such that 1-correspoding sides are congruent 2- corresponding angles are congruent 27-The two triangle are congruent if two sides and included angle of one triangle are congruent to corresponding parts of other triangle 28-The two triangle are congruent if two angles and side drawn between their vertices of one triangle are congruent to corresponding parts of other triangle 29-Two triangle are congruent if each side of one triangle are congruent to corresponding sides of other triangle 30-The two right –angled triangle are congruent if the hypotenuse and a side of one triangle are congruent to corresponding parts of other triangle 31-If two straight lines are on the same plane and do not intersect ,then they are parallel 32-If two straight lines are parallel to third line ,then these two straight lines are parallel 33-The two straight lines perpendicular to third one are parallel 34-A straight line that is perpendicular to one of two parallel lines is perpendicular to the other 35-The two intersecting straight lines are on the same plane 36-If a straight line intersects two parallel straight lines then each two alternate angles are equal in measure 37-If a straight line intersects two parallel straight lines then each two alternate angles are equal in measure 38-If a straight line intersects two parallel straight lines then each two corresponding angles are equal in measure 39-If a straight line intersects two parallel straight lines then each two interior angles in the same side of transversal are supplementary 40-If a straight line intersecting two straight lines and two alternate angles are equal in measure ,then two lines are parallel 41-If a straight line intersecting two straight lines and two corresponding angles are equal in measure ,then two lines are parallel 42-If a straight line intersecting two straight lines and two interior angles on the same side of transversal are supplementary ,then two lines are parallel