Mathematics, 05.01.2020 00:31 xoaprilox

Giving ! statement reasoning ! 100 !

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Answer from: evelyngarcia99

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Step-by-step explanation:

a1) Given

$\angle A\cong \angle C\\ \\\angle ABD\cong \angle CDB$

Statement Reason

1. $\angle A\cong \angle C$ - Given

2. $\angle ABD\cong \angle CDB$ - Given

3. $\overline{BD}\cong \overline{DB}$ - Reflexive property

4. $\triangle ABD\cong \triangle CDB$ - AAS postulate

5. $\overline {AB}\cong \overline{CD}$ - Congruent triangles have congruent corresponding parts

6. AB=CD - Definition of congruent segments

a2) Given

$\overline{H O}\parallel \overline{E N}\\ \\H W=N W$

Statement Reason

1. H W=W N - Given

2. $\overline{H O}\parallel \overline{E N}$ - Given

3. $\angle O H W\cong \angle E N W$ - Alternate interior angles theorem (two parallel lines H O and E N are cut by transversal H N)

4. $\angle H W O\cong \angle N W E$ - Vertical angles theorem

5. $\triangle H O W\cong \triangle N E W$ - ASA postulate

b) Given

$PO=PR\\ \\OS=RS\\ \\\angle O\cong \angle R\\ \\m\angle P=90^{\circ}$

Statement Reason

1. $m\angle P=90^{\circ}$ - Given

2. $\triangle OPE, \triangle RPN$ are right triangles - Definition of right triangles

3. $\angle O\cong \angle R$ - Given

4. PO=PR - Given

5. $\triangle POE\cong \triangle PRN$ - HA postulate

6. OS=RS - Given

7. $\angle O\cong \angle R$ - Given

8. $\angle OSN\cong \angle SRE$ - Vertical angles theorem

9. $\triangle SON\cong \triangle SRE$ - ASA postulate

c1) Given

$\overline{SA}\parallel \overline{NE}\\ \\\overline{SE}\parallel \overline{NA}$

Statement Reason

1. $\overline{SA}\parallel \overline{NE}$ - Given

2. $\angle ENS\cong \angle ASN$ - Alternate interior angles theorem (two parallel lines SA and NE are cut by transversal SN)

3. $\overline{SE}\parallel \overline{NA}$ - Given

4. $\angle ESN\cong \angle ANS$ - Alternate interior angles theorem (two parallel lines SE and NA are cut by transversal SN)

5. $\overline{SN}\cong \overline{NS}$ - Reflexive property

6. SN=NS - Definition of congruent segments

7. $\triangle ENS\cong \triangle ASN$ - ASA postulate

8. $\overline{SA}\cong \overline {NE}$ - Congruent triangles have congruent corresponding parts

9. SA=NE - Definition of congruent segments

c2) Given

$\angle BTO\cong \angle IWE\\ \\\overline{WI}\cong \overline{BT}\\ \\\overline{OW}\cong \overline{ET}$

Statement Reason

1. $\angle BTO\cong \angle IWE$ - Given

2. $\overline{WI}\cong \overline{BT}$ - Given

3. $\overline{OW}\cong \overline{ET}$ - Given

4. $\overline{WT}\cong \overline{TW}$ - Reflexive property

5. WI=BT - Definition of congruent segments

6. OW=ET - Definition of congruent segments

7. WT=TW - Definition of congruent segments

8. OT=OW+WT - Segment addition postulate

9. WE=WT+TE - Segment addition postulate

10. OW+WT=ET+WT - Substitution property

11. OT=WE - Substitution property

12. $\triangle BOT\cong \triangle IEW$ - SAS postulate

Answer from: Quest

sorry, i can't understand your question. will later if you describe more clearly!

: )

Answer from: Quest

the answer is 18 units because there are 18 small cubes inside the rectangle

hope this and p.s i am also in k12

step-by-step explanation:

Will mark brainliest if you get it right and hurry. 50 pointss

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Giving ! statement reasoning ! 100 !

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