Adjacent and Vertical Angles
What is congruent?
When two angles or sides have the same measure.
Is this complementary, supplementary, or neither?
Neither! The sum is 100°.
Classify a triangle that has all different side lengths?
Scalene
What is a quadrilateral? How many degrees do the angles add up to?
-a polygon (or shape) that has 4 sides and 4 angles
-360degrees
List the helpful hints for complementary and supplementary.
-complementary...corner, 90degrees
-supplementary...straight line, 180degrees
What is the difference between adjacent and vertical angles?
Adjacent angles share a common side and have the same vertex.
Vertical angles share a vertex and are opposite angles formed by the intersection of two lines.
What is the difference between complementary and supplementary angles?
Complementary angles are when the sum of two angles is 90°.
Supplementary is when the sum of two angles is 180°.
Classify a triangle that has all angles less than 90° and two congruent sides.
Acute Isosceles
List the 6 quadrilaterals we learned about in class and what makes them special.
Trapezoid- only one set of parallel lines
Kite- two sets of congruent sides that share a vertex
Parallelogram- two sets of parallel sides
Rhombus- parallelogram with four congruent sides
Rectangle- parallelogram with four right angles
Square- parallelogram with four right angles and four congruent sides
Draw and label a set of vertical angles.
To receive points, you must include:
-at least two lines intersecting
-vertical angles labeled on diagram and are clearly identified as the vertical angles
Draw and label a set of supplementary angles.
To receive credit your drawing must include:
-two angles that add up to 180 degrees
-the two angles are clearly identifiable
(On paper) Draw an equiangular, equilateral triangle.
Criteria to receive points:
-must have three 60° angles
-must have three congruent sides
-straight edge was used, lines were not free handed
(On paper) Draw a parallelogram with a 45° angle and a 135° angle.
Criteria to receive points:
-two sets of parallel sides
-two 45° angles across from one another, two 135° angles across from one another
-straight edge is used, lines are not free handed
Draw and label two sets of adjacent angles.
To receive points, you must include:
-at least 3 angles
-adjacent angles labeled on diagram and are clearly identified as the adjacent angles
Draw and label a set of complementary angles.
To receive credit your drawing must include:
-two angles that add up to 90 degrees
-the two angles are clearly identifiable
(On paper) Draw a triangle with a 5cm side and a 8cm side that meet at 60degrees.
To receive points, you must include:
-5cm side and 8 cm side that are connected by a 60degree angle
-5cm side, 8cm side, and 60degree angle are correctly labeled
-straight edge was used
(On paper) Draw a trapezoid with non congruent sides.
Criteria to receive points:
-one set of parallel lines
-no side lengths are congruent
-straight edge was used, lines are not free-handedly drawn
(On paper) Draw a kite with a 50° and 40° angle.
Criteria to receive points:
-angles are 50°, 135°, 40°, and 135°
-two 135° angles are across from each other, 50° and 40° angles are across from each other
-two sets of congruent, adjacent sides
-straight edge was used, lines were not free handed