If a number is divisible by 10, then it ends in zero

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Identify the hypothesis & conclusion. Write the converse, inverse and contrapositive of the conditional • If a number is divisible by 10, then it ends in zero Converse: If it ends in zero, then a number is divisible by 10 Inverse: If a number is not divisible by 10, then it does not end in zero C-P: If it does not end in zero, then a number is not divisible by 10

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Identify the hypothesis & conclusion. Write the converse, inverse and contrapositive of the conditional. If a number is divisible by 10, then it ends in zero Converse: If it ends in zero, then a number is divisible by 10 - PowerPoint PPT Presentation

Transcript of If a number is divisible by 10, then it ends in zero

Page 1: If a number is divisible by 10, then it ends in zero

Identify the hypothesis & conclusion.Write the converse, inverse and contrapositive

of the conditional• If a number is divisible by 10, then it ends in

zeroConverse: If it ends in zero, then a number is

divisible by 10Inverse: If a number is not divisible by 10, then

it does not end in zeroC-P: If it does not end in zero, then a number is

not divisible by 10

Page 2: If a number is divisible by 10, then it ends in zero

Write a conditional statement from the following.

If it is a blue jay, then it is a bird.

Page 3: If a number is divisible by 10, then it ends in zero

a. Name 3 collinear points APB or CPD or JDK

b. 3 non-collinear points APC or ABC or PDJ or APD, etc

c. 4 coplanar points APBC –CPDB – ACBD--APDB

d. Four non-coplanar points APCJ APCK APDJ APDK etc

e. Two lines that intersect CD AB or JD

f. The intersection of JK and plane R point D

Page 4: If a number is divisible by 10, then it ends in zero

1. Two opposite rays.CB & CD

3. The intersection of plane N and plane T. Line BD or line BC or line CD

4. A plane containing E, D, and B. plane T

2. A point on BC. B, C or D

Page 5: If a number is divisible by 10, then it ends in zero

•Find x, DE, and DF. Show all work!

3x -1 +13 = 6x

X=4, DE =11, DF = 24

Page 6: If a number is divisible by 10, then it ends in zero

mDEG = 115°, and mDEF = 48°. Find mFEG

mFEG = 67◦

Page 7: If a number is divisible by 10, then it ends in zero

KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM.

4x+6 = 7x – 12X = 6mJKM =30

Page 8: If a number is divisible by 10, then it ends in zero

A = 77B = 52C=77D = 51

A = 90B = 163C=17D = 110E= 70

Page 9: If a number is divisible by 10, then it ends in zero

Find the coordinates of the midpoint of PQ with endpoints P(–8, 3) and Q(–2, 7).

(-5, 5)

Page 10: If a number is divisible by 10, then it ends in zero

Use the Distance Formula to find the distance, to the nearest tenth, from R to S.

R(3, 2) and S(–3, –1)

yyxxd 22

D = 3.754

Page 11: If a number is divisible by 10, then it ends in zero

Identify each of the following.1. a pair of parallel segments AD//CB

2. a pair of skew segments AD skew CG

3. a pair of perpendicular segments AB BF

4. a pair of parallel planes

Top & bottom – ABCD & EFGHRight & leftFront & back

Page 12: If a number is divisible by 10, then it ends in zero

Give an example of each angle pair.

A. corresponding angles 1 & 3, 2 & 4, 5 & 7, 6 & 8 B. alternate interior angles 2 & 7, 6 & 3C. alternate exterior angles 1 & 8, 5 & 4D. same-side interior angles 2 & 3, 6 & 7

Page 13: If a number is divisible by 10, then it ends in zero

Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither.

GH and IJ for G(–3, –2), H(1, 2), I(–2, 4), and J(2, –4)

GH = 2 IJ = -2

Page 14: If a number is divisible by 10, then it ends in zero

Classify each triangle by its angles and sides. Find the side lengths of the triangle.

X = 929, 29, 23ACUTE, ISOSCELES

1. MNQ equilateral, equiangular 2. NQP scalene, obtuse3. MNP scalene, acute

Page 15: If a number is divisible by 10, then it ends in zero

1. Find mABD.

2. Find mN and mP.

X= 54MABD = 124

X=5; 75, 75

Page 16: If a number is divisible by 10, then it ends in zero

Find mN.

Y = 8, 48

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Y = 18, 84 each side

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1. Given that mABD = 16°, find mABC.

2. Given that mABD = (2x + 12)° and mCBD = (6x – 18)°, find mABC.

1. 162. X= 7.5 54

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Use the diagram for Items 3–4.

3. Given that FH is the perpendicular bisector of EG, EF = 4y – 3, and FG = 6y – 37, find FG.

Y = 17, 65

4. Given that EF = 10.6, EH = 4.3, and FG = 10.6, find EG.

8.6

Page 20: If a number is divisible by 10, then it ends in zero

N = 16

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1. Write the angles in order from smallest to largest.

2. Write the sides in order from shortest to longest.

1. C, B, D

2. DE, EF, DF

Page 22: If a number is divisible by 10, then it ends in zero
Page 23: If a number is divisible by 10, then it ends in zero

Given: QP bisects RQS. QR QSProve: ∆RQP ∆SQP

ReasonsStatements

1. Given

3. RQP SQP 3. dfn bisector4.QP QP 4. reflexive5.∆RQP ∆SQP 5. SAS

2. Given2. QP bisects RQS

1. QR QS

Page 24: If a number is divisible by 10, then it ends in zero

Given: PN bisects MO, PN MO

Prove: ∆MNP ∆ONP

Stmt reason

1. PN bisects MO, PN MO given

2. MN NO Definition of bisect

3. ∆MNP & ∆ONP are right s Defn of right triangle

4. PN PN Reflexive property

5. ∆MNP ∆ONP HL