Pencil highlighter GP NB red pen textbook Solve

Pencil, highlighter, GP NB, red pen, textbook Solve for x in the figures below. Be sure to justify your answers! 1. x 197° 2 x x+5 3 x – 7 2. regular octagon 2 x + 24 129° 2 x +1 +1 m of ONE interior Sum of interior s of n-gon = 180 (n – 2) of regular n-gon x +197+2 x+3 x– 7+2 x+129+x+5=180 (7– 2) +1 +1 9 x + 324 = 180(5) (n = 8) +1 9 x + 324 = 900 9 x = 576 +1 x = 64° +1 x = 55. 5°

Recall that Venn diagrams show all of the possible relationships between groups of things. Let’s create a Venn diagram illustrating the age at which people legally earn the following privileges and rights in the U. S. : • Drive • Smoke • Gamble and Drink in Las Vegas

Drive Smoke 18 19 20 Ages: 5 12 16 17 18 19 20 21 22 98 21 16 22 98 5 12 Gamble and Drink 17

Here is an organizer to help understand the relationships between the quadrilaterals. s Isosceles Trapezoid Parallelograms s es Rectangle Kites Sq ua r on lyg Trapezoids on Po lyg Po s Quadrilaterals R us b m ho

Here’s another way of looking at the classification of quadrilaterals. Quadrilaterals >> Trapezoid >> > > >> Parallelogram >> Kite Rectangle >> Isosceles Trapezoid >> Square Rhombus

US – 91 Draw in the diagonals in the rectangle. Q R a) What do you notice about the lengths of the diagonals? Write a conjecture. If it is a rectangle, then the diagonals are congruent. P b) Prove your conjecture. Statement Reason rectangle 1. PQRS is a _____ 90° 2. m QPS = m RSP ______=____ 3. _____ 4. _____ RSP 5. ∆QPS _____ 6. ________ Given 1. ________ rectangle 2. Definition of _____ If parallelogram 3. ________ opposite sides 4. ________ Reflexive property SAS 5. ________ s parts 6. ________ Add to Quadrilateral Toolkit: If it’s a rectangle the diagonals . S

US – 92 Figure DOVE is a rhombus. Use the fact that a rhombus is a special kind of parallelogram to prove the following: D R a) The diagonals of a rhombus are perpendicular. Statement O E V Reason rhombus 1. DOVE is a _____ 2. _____ Given 1. __________ rhombus 2. Definition of _____ 3. _____ & _____ If parallelogram diagonals 3. __________ bisect each other (US – 81) SSS 4. __________ VOR VER DER 4. ∆DOR _____ 5. _______ DRO VRO 180° 6. m DRO + m VRO = ______ 7. m DRO = m VRO = ______ 90° 8. __________ s parts 5. __________ Linear pair 6. __________ 7. Substitution & division of perpendicular 8. Definition __________ Add to Quadrilateral Toolkit: If it’s a rhombus the diagonals are .

US – 92 Figure DOVE is a rhombus. Use the fact that a rhombus is a special kind of parallelogram to prove the following: D O R V b) The diagonals of a rhombus bisect the angles E of the rhombus. Statement Reason VOR VER DER 1. ∆DOR _____ SEE ABOVE!!! 1. __________ RDO RDE _______, RVO RVE 2. _______, s parts 2. __________ ROD ROV _______ REV RED _______, 3. ______ bisects EDO and EVO ______ bisects DOV and DEV Definition of bisect 3. __________ Add to Quadrilateral Toolkit: If it’s a rhombus the diagonals bisect the angles of the rhombus.

US – 93 The length of each side of a rhombus is 10 cm and m A = 60°. Find the length of the longer diagonal, AC. You will need to use the properties of a rhombus to get all the data you need. (rhombus diagonals bisect the s. ) B 10 cm C 10 cm m BAC = 30° A ° 30 60° 10 cm D (rhombus the diagonals are . ) AC BD 30°-60°-90° SL: n = 5 cm LL: Hyp: 2 n = 10 cm (Parallelogram diagonals bisect each other)

a) Graph each of the following equations on the same set of axes. Darken in the region bounded by all four lines. US – 94 y b) Find the lengths of each of the sides of MATH. (Pythagorean Thm. ) T A H M MA = 5 units TH = 5 units AT = 5 units MH = 5 units c) What type of quadrilateral is MATH? Why? MATH is a rhombus by definition because all xfour sides are congruent. d) Draw the diagonals of MATH and write the equation for each diagonal.

Think about the scientific classifications of animals you learned in biology: Kingdom Phylum Class Order Family Genus Species Most general Most specific Phylum Class Order Family Genus Species

For example, humans are classified as such: Animalia Where would you place the following? Chordata Mammalia Primates Hominidae Homo Sapien