Download Maged Mosaad Summary of geometry For prep one(1st term) 1

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