Geometry 1st Semester Always Sometimes Never
The triangle midline creates a triangle half the size of the original triangle.
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2 coplanar lines that never intersect are parallel.
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2 isosceles right triangles are similar.
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2 isosceles triangles are similar if their base angles are congruent.
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2 non-adjacent angles created by 2 intersecting lines are congruent.
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2 planes that intersect do so at exactly 1 line.
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2 triangles are congruent if 2 sides and the included angle of 1 are congruent to 2 sides and the included angle of the other.
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2 triangles are congruent if 2 sides and the included angle of one are congruent to 2 sides and the included side angle of another.
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2 triangles are similar if 2 angles of one triangle have the measures of 50 and 70 and 2 angles of the other triangle have the measures 60 and 50.
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2 triangles are similar if 2 angles of one triangle have the same measure of 40 and 80 and 2 angles of the other triangle have measures of 60 and 80.
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A median of a triangle bisects the opposite side.
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A square is a rectangle.
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A square is a rhombus.
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An obtuse triangle has exactly 1 obtuse angle.
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If 10x=4y then the ratio of x to y is 2:5.
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If 2 angles are complementary they are each acute.
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If 2 lines are cut by a transversal so alternate interior angles are congruent the lines are parallel.
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If 2 parallel lines are cut by a transversal the corresponding angles are congruent.
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If 2 points of a line lie on a plane then the entire line lies in the plane.
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If 2 points of a line lie on a plane, then the entire line lies in the plane.
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If 2 sides of a right triangle are congruent to the corresponding parts of another right triangle the triangles are congruent.
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If a median of a triangle is also an altitude then it is an angle bisector too.
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If an acute angle of one right triangle is congruent to an acute angle of another right triangle the triangles are similar.
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If the corresponding sides of 2 similar triangles are in a ratio of 3:4 then the there perimeters are in a ratio of 3:4.
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If the perimeters of 2 similar triangles are in a ratio 2:3 then the corresponding altitudes of those triangles are in a ratio 2:3.
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Intersecting lines are coplanar.
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Opposite sides of a rectangle are parallel.
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The altitude to the base of an isosceles triangle is also an angle bisector.
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The altitude to the base of an isosceles triangle is also the median to the base.
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The bisectors of vertical angles are opposite rays.
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The diagonals of a rectangle bisect each other.
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The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
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The measure of an exterior angle of a triangle is larger than the measure of either remote interior angles.
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The nonparallel sides of an isosceles trapezoid are congruent.
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The opposite angles of a rhombus are congruent.
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The opposite angles of a square are congruent.
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The sum of the interior angles of a convex n-gon is 360˚ greater than the sum of the angles on an (n-2) gon.
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The supplement of an acute angle is obtuse.
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This is your favorite class.
always
2 planes intersect in 2 parallel lines.
never
2 planes parallel to the same plane are perpendicular to each other.
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A median of a triangle does not contain the midpoint of the side to which it is drawn.
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A parallelogram is a trapezoid.
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A right triangle is congruent to an obtuse triangle.
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A right triangle is equilateral.
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A trapezoid and a parallelogram are similar.
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All 3 altitudes of a triangle fall outside the triangle.
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An angle bisector of a scalene triangle divides the opposite side in a ratio of 1:1.
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As the number of sides of a polygon increases the sum of the measures of the exterior angles increases.
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If 2 intersecting lines are cut by a transversal the consecutive interior angles are supplementary.
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If 2 supplementary angles are congruent their complements are 45˚.
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If a median of a triangle is also an altitude the the triangle is scalene.
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If a plane contains 1 of 2 skew lines it contains the other.
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If parallel lines are cut by a transversal, then consecutive interior angles are complementary.
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If the perimeters of 2 similar triangles are in a 1:2 ratio the the corresponding altitudes of this triangles are congruent.
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In a plane the relation "is perpendicular to" is transitive.
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Skew lines are coplanar.
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The No Choice Theorem is a reason for stating 2 triangles are congruent.
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The No Choice Thm is a reason for stating triangles are congruent.
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The diagonals of a trapezoid bisect each other.
never
The supplement of an acute angle is acute.
never
2 isosceles obtuse triangle are similar.
sometimes
2 isosceles triangles are similar if they have at least one pair of congruent angles.
sometimes
2 lines are perpendicular to a 3rd line are skew to each other.
sometimes
2 lines that never intersect are parallel.
sometimes
2 planes parallel to parallel lines are parallel to each other.
sometimes
2 rectangles are similar.
sometimes
2 triangles are congruent if 2 sides and an angle of one are congruent to corresponding parts of another.
sometimes
A equiangular quadrilateral is regular.
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A median of a triangle bisects the angle it is drawn from.
sometimes
A parallelogram is a rhombus.
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A rhombus is a regular quadrilateral.
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A right triangle is scalene.
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A scalene triangle has 3 acute angles.
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An angle bisector of a scalene triangle divides the opposite sides in a ratio of 2:3.
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An equiangular polygon is regular.
sometimes
An isosceles triangle is obtuse.
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Consecutive sides of a parallelogram are perpendicular.
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Corresponding sides of similar triangles are congruent.
sometimes
If 2 angles are complementary and adjacent they are congruent.
sometimes
If 2 intersecting lines are cut by a transversal then the consecutive interior angles are complementary.
sometimes
If 2 lines are cut by a transversal such that 2 interior angles on the same side of the transversal are congruent the lines are parallel.
sometimes
If 2 parallel lines are cut by a transversal, then the corresponding angles are supplementary.
sometimes
If <BAC is congruent to <ABC in triangle ABC then AB is congruent to BC.
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If AB congruent to BC in triangle ABC then angle BAC congruent to angle ABC.
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If a plane contains 1 of 2 parallel lines it contains the other.
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If an angle of 1 isosceles triangle is congruent to an angle of another isosceles triangle the triangles are similar.
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If angle TAB is congruent to angle TAC then TA is perpendicular to BC.
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If parallel lines are cut by a transversal then corresponding angles are supplementary.
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If the diagonals of a quadrilateral are congruent the quadrilateral is an isosceles trapezoid.
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In an angle of one isosceles triangle is congruent to an angle of another isosceles triangle the triangles are similar.
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In space 2 lines perpendicular to a 3rd line are perpendicular to each other.
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The base of an isosceles triangle is shorter than either leg.
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The diagonals of a rectangle bisect the angles.
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The diagonals of a trapezoid are congruent.
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The leg of an isosceles triangle is shorter than the the base.
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The non parallel sides of a trapezoid are congruent.
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Vertical angles are complementary.
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Vertical angles are supplementary.
sometimes