King George County Schools Together Toward Tomonow

Cover Sheet for At-Home Practice

Date: D4 a.1:cJ d-- 3 ,I ?d2 z.o

Content:

KGCS is providing these resources for at-home practice as a support to families. These materials are intended as resources, not requirements. Please do not return packets. Most importantly, we encourage every family to take whatever steps are needed to stay healthy.

King George County Schools I P.O. Box 1239 I King George, Vi\ 22485 Office: 540-775-5833 Fax: 540-775-2165

Math Practice At Home 03/20/20 Mathematics is a science of pattern and order; a way of thinking, communicating, and learning about the world. The goal of the mathematics program in King George County is to provide an environment for all students to actively build an understanding of mathematics. We want our students to value mathematics and develop confidence in their ability to learn and do mathematics in purposeful ways. Successful learning involves investigating, verifying, exploring, explaining, discovering, conjecturing, describing, reasoning, and sense making. Using the following activities, students will formulate, represent, and solve mathematical problems using a variety of appropriate strategies while developing reasoning skills to justify their solutions as they work

_ towards mathematical proficiency. In addition to the suggestions below, the Daily Math Math games are provided to enhance the math learning experience for you and your child.

Games Dice, board, and card games often use many math skills in a fun way. focus on Math include:

Games that have a particular

1. Rummikub 2. Gin Rummy 3. Payday 4. Farkle 5. Monopoly

6. Yahtzee 7. Solitaire (any of the

different varieties) 8. Memory 9. Old Maid

10. Quirkle 11. Head full of Numbers 12. Set

More Games for Older Grades Over-Under - This game is played with

one. The payer with the fewest cards left in their hand wins. Some of My Favorites-two players. All face cards are removed

from the deck; aces worth one. Players split the cards, one player is over 30, and the other player is under 30. Each player turns over a card at the same time and the two numbers are multiplied together. If the product is less the 30 , the Under 30 player keeps the cards. If the product is greater than 30, the Over 30 player keeps the cards. The person with the most cards win. Exponent War - This game is played with two players, and all face cards removed from the deck. Deal cards out equally. The first player turns over two cards, one at a time. The second card acts as an exponent to the first number. The second player does the same. The player with the highest number wins the round and takes all the cards. Prime lime - This game is for two to four players. Aces = 1, Jacks = 11 , Queens= 12, and Kings= 13. Players take turns discarding cards, face up and one at a time. Players may only discard prime numbers or a group of cards whose sum is a prime number. If a player is unable to discard a prime number, they must draw from the deck until they create

Close to 20: Players: 2 or more Materials: Deck of cards, face cards removed, Ace worth 1 How to play: Deaf 5 cards to each player. Player chooses three cards that when added together get as close to 20 as possible. The player writes down his score as the distance his cards leave him from 20 ... i.e., if his cards equal 18, his score is 2. If they equal 22, his score is 4. At the end of several rounds, the player with the lowest score wins. Close to 100: Same as Close to 20 but.. How to play: Deal 6 cards to each player. Player chooses any four of his cards to make two numbers that when added together get as close to 100 as possible. The player writes down his score as the difference between his cards and 100 ... i.e ., if he makes 36 and 62 with his cards, they equal 98. His score is 2, the difference between his sum and 100. At the end of several rounds, the player with the lowest score wins. *Variations: Close to 1,000 and Close to zero.

If you have online access, please check out the KGCS website for more learning

opportunities: https://www.kqcs.k12.va .us/

3/18/2020 Copy of 2019 Geom SOL reY1ew book Final Jan 22 2019.ducx • Google Doc:-s

1. In the right triangle, 8ABC, mLBAC = 3x and mLACB = Sx+10.

What is the measure of the supplement of LBCA?

2. Given mLl = l lx + 19 and mL2 = 14x- 14. If m and n are parallel what is the value of x, and what is mLl ?

.3. The figure shows two triangles, where x represents the length of the common side AB. (Figure is not drawn to scale)

,I

8 .l" 13

cL ---=;-7--Bi. - ---,u.-------....:~D

Which inequality shows all the possible values for x?

A. 1 < x < 15 B. 1 < x < 24 C. 2<x<15 D. 2 <x < 24

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3/18/2020 Copy of 2019 Geom SOL review bookFinal jan 22 2019.docx - Google Docs

4. The equation of line k is y = ½x - 2 . The equation of line m is

-2.x+ 6y = 18. Lines k and mare

A. parallel B. perpendicular C. the same line D. none of the above

5. Which postulate proves that the triangles below are congruent?

B 0

6. MBC has vertices A(O,O), 8(3,2), and C(0,4) . This triangle may be classified as:

A. Isosceles B. Scalene C. Equilateral D. Right

7. Given segment AB with a midpoint at (-4, 6) and point A at (3, -2). What are the coordinates of point B?

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3/18/2020 Copy of 2019 Geom SOL review bookFinal jan 2-2 201'9,docx - Google Docs

8. In flDEF, mLD = 3x + 5, mLE = 4x - 15, and mLF = 2x + 10. Which statements are true? Choose as many as you wish.

A. LD=LE

B. LD=LF

c. LF=LE

D. DE:= EF

E. DE=DF - -

F. DF=f:F

G. mLD =20°

H. mLD = 50°

I. mLD = 60°

J. mLD = 65°

9. In the diagram (not drawn to scale), MBOVMMN. Find AB.

N

X

L------- M

4

3x

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3/18/2020 Copy of 2019 Geom SOL review bookFinal jan 22 2019.docx - Google Docs

10. Which lines are parallel to the line with the standard form equation 2x + 3y = 7 ? Choose as many as you wish.

a) 2x + 3y = 5 b) y=fx+ c) y = -/x+ 5

d) y= fx+5 e) y=1x+5 f) the line passing through (0,2) and (3,0)

11. If the vertex angles of two isosceles triangles are congruent, then the triangles must be

A. congruent D. right B. similar C. equilateral

12. Which of the following side lengths could create a triangle? Circle all correct choices.

r--- --- -- -••- - - --- ---- ------ -r - ------- -------- ---- -- - - - ---,,---- - -------- - -- -----,

! : : : j 5, 12, 13 5, 12, 15 5, 12, 17 i I I i I

l. --- -- - -- - . --- ---- -___ ..!__ - --- -- - --- ----·------ __ ,!. _______ ,.._ - - - - -- - -----~

Which of the following side lengths could create a right triangle? Circle all correct choices.

r-• ••• .......... • • •-•• • • • • • --•• ... ._ •• T--• •-• •• -- -- ...... •• • --•- •·• •--,--•--•-- ........ .., ...... •• •--•-•• ,. ....... •-,

: : : I I : ! 5,12,13 5,12,15 : 5,12,17 I

t : t ' · - - ~-- - ------ - --- - ·- • .. ... ...1.. ....... - - - - - - - .............. --- ... - -- - ...... ,J.. . - - · - • - - - - - ------- - - .... ... .. - • -'

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3118/2020 Copy of 2019 Geom SOL review bookFinal ran 22 2019.docx - Google Docs

12

z

13. Find x, y and z for the triangle below.

14. Based on the diagram below, which of the lines are parallel? Explain.

" .... 1 1 110•/ '

/ 115• ► d

I . l I ... ; 120° ~ e

15. In trapezoid ABCD, diagonals AC and BD intersect at£ and MBC = /j_OCB .

~ D A

Which of the following must be true? Choose as many as you wish.

A) CD II BA B) CD~BA

C) ll.CEB = ll.AED D) LKEB ~ ll.AED

E) LDCE = L ECB F) CB II DA

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3/18/2020 Copy of 2019 Geom SOL review book Final jan 22 2019.docx - Google Docs

16. A quadrilateral whose diagonals bisect each other and are perpendicular is a

A. rhombus B. trapezoid

C. rectangle D. parallelogram

17. What is the equation of the circle below?

J_ .! I

l0 22 I - _,

I

18. Which of the following can be written symbolically as pBq 7 Choose as many as you wish.

A. If a triangle is a right triangle, then

a2 +bi= cz

B. If a figure is a square, then its diagonals bisect each other.

C. If lines are parallel, then alternate interior angles created by a transversal are congruent.

D. If two angles form a linear pair, then they are supplementary.

E. If two lines in space are parallel, then they never intersect.

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3/18/2020 Copy of 2019 Geom SOL review bookFlnal Jan 22 2019.docx - Google Docs

19. Given: mL1 = 9x - 25 and mL2= 4x+10

Which of the following proves that y fs parallel to z?

mLS = 15

C) m.l.5= 110

B) mLS= 70

0) m.l.S = 18

20. To construct a line perpendicular to AB passing through C,

C A

The first step is to use your compass to:

A) Draw circles around A and B so that they both intersect C

B) Draw a circle around C to find two equidistant points C) Draw congruent circles around A and C D) Draw a circle around B with radius AC.

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3/18/202D

21.

Copy of 2019 Geom SOL review bookFinal jan 22 2019.docx - Google Docs

Show that the conjecture is false by finding a counterexa.iuple. a

If a> b, then b > 0.

a. a= I 1, b = -3 b. a=-Il,b=3 c. a= 11, b = 3 d, a= 3,b= Jl

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3/18/2020 Copy of 2019 Geom SOL review book Final jan 22 2019.docx - Google Docs

22. Assume the following conditional statements are true:

If you complete the extra credit, then you will get two bonus points. If you get two bonus points, then your Mom will be happy.

Choose all of the following that are valid conclusions:

A) If you do not complete the extra credit then your Mom will not be happy.

B) If your Mom is not happy, then you did not complete the extra credit.

C} If your Mom is happy, then you completed the extra credit. D) If you completed the extra credit, then your Mom is happy. E) If you do not complete the extra credit then your Mom is mad.

23. In a regular octagon, what is the difference between the sum of the exterior angles and the sum of the interior angles?

J L-\. Which diagram shows a correction c-onstruction of an altitude of llABC?

A. C s. C

A B ~ A ---;{. B

C. C I). C

~:::::::::::::::;:::::--"",. __ __,,, B B I

)K I

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3/18/2020 Copy of 2019 Geom SOL review bookFinal jan 22 2019.docx - Google Docs

, . Three triangles that do not overlap are shown on the grid . Which is true?

X

~ only

There are no cong triangles

26. If fl XYZ is similar to fl XLM, then -

XM :XZ=XL :XY tee XY: XL

B. XM: XZ

C. XL : LM = YZ : XZ D. XL : LY= XZ : MZ

27 . Given: ABCD is a parallelogram. Prove flABD ;a; ll CDB

Statement Reason

ABCD is a parallelogram

LA::LC

- Opposite sides of a parallelogram are AD ';:E - - congruent

-II

-AD BC

LADB = LCBD

-MBD = t.CDB

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