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Intro to Geometry Angles Classifying Triangles Classifying Quadrilaterals Polygons & Symmetry Congruent & Similar Figures $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $100 $100 $200 $200 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500 What extends without end in two opposite directions? A line How do I write the name of this? C D CD OR DC How do I write the name of this? A B BA Name 2 lines that are parallel B C A E G AC and EG OR CA and GE What type of lines are these? Parallel lines Name this 3 different ways J K L JKL LKJ K What is the approximate measurement of the following angle? a. 60° b. 95° c. 140° The angle is approximately 60°, because we know it is an acute angle, because it is less than 90° Use estimation to name the angle whose measure is closest to the given measure: a. 90 ° b. 15 ° N c. 135 ° O P M R Q a. ORM b. PRQ c. PRM Name 2 obtuse angles from the following diagram K L M J N O KON MOJ What angles are 90°? B C D A F E CFA AND CFE What type of triangle is this? Equilateral triangle ~All three sides have the same length What type of triangle is this? Isosceles triangle ~Two sides that are the same length What type of triangle is this? 6 in. 2 in. 10 in. Scalene triangle ~All three sides are different lengths What type of triangle is this? 45° 45° Right triangle ~A triangle with 1 right angle Find the measurement of the missing angle, x 100° 15° x° 100° + 15° = 115° 180° - 115° = 65° X = 65° What quadrilateral has 2 pairs of parallel sides AND 4 right angles? A rectangle What quadrilateral has 2 pairs of parallel sides, 4 right angles, and all 4 sides are the same length? A square What quadrilateral has 2 pairs of parallel sides and 4 sides that are all the same length? A rhombus True or falseā¦. All squares are parallelograms True All squares have 2 pairs of parallel sides Which sides of this quadrilateral are parallel? A B D C AD and BC What is the name of the following figure? A regular pentagon ~A pentagon is a five-sided closed polygon Is the following figure a regular hexagon or an irregular hexagon? Irregular hexagon ~All the sides are not the same length, and all of the angles are not the same measurement. Classify the following polygon, and tell whether it is regular or irregular. Regular octagon ~An octagon is an eight-sided closed polygon. This specific octagon has sides of all equal length, and angles are all equal measurement. How many lines of symmetry does this figure have? This figure has 1 line of symmetry How many diagonals can be drawn from one vertex of this figure? How many triangles can be formed by these diagonals? ~3 diagonals can be drawn from 1 vertex ~4 triangles are formed from these diagonals 4 1 2 3 Are these triangles similar or congruent? 12 in. 12 in. 6 in. 6 in. 8 in. 16 in. These triangles are similar triangles They are the same shape, but a different size The following triangles are congruent. What is the value of x and y? 14 in. 15 in. 15 in. x 33° 12 in. 12 in. y° Since the triangles are congruent, they have the same exact measurements. So x = 14 in. y = 33° ABD and ADC are congruent. How long is CD? A 20 m 45° B 31 m D C CD is 31 meters ~Since both triangles are congruent, CD will have the same measurement as BD. ABC and DEF are congruent. List the corresponding angles. F A C E B D The corresponding angles are: A and D B and E C and F Are these triangles similar or congruent? Why? 20 in. 10 in. 10 in. 20 in. 10 in. 5 in. 5 in. 10 in. These quadrilaterals are similar, because they have the same shape, but not the same size. $200 $200 $200 $200 $400 $400 $400 $400 $600 $600 $600 $200 $200 $400 $400 $600 $600 $600 $800 $800 $800 $800 $800 $800 $1000 $1000 $1000 $1000 $1000 $1000