Geometry Help

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Homework: Topic C.3 and C.4 Joseph Sigmon

Question 1 1/1 pt 2 99

Question 2 1/1 pt 1 99

Question 3 1/1 pt 2 98

Question 4 0.25/1 pt 3 98

Choose the correct words to fill in the blanks below.

symmetric congruent transitive reflexive

1. congruent triangles are the same size and shape.

2. The reflexive property for congruent triangles states that if

and share side , then for is congruent to for .

3. The symmetric property states that for , .

4. The transitive property for congruent triangles states that if and

, then .

ΔACD ≅ ΔABC ¯̄¯̄¯̄AC ¯̄¯̄¯̄AC ΔACD ¯̄¯̄¯̄AC ΔABC

ΔABC ¯̄¯̄¯̄AB ≅¯̄¯̄¯̄BA

¯̄¯̄¯̄AC ≅¯̄¯̄¯̄DF

¯̄¯̄¯̄DF ≅¯̄¯̄¯GI ¯̄¯̄¯̄AC ≅¯̄¯̄¯GI

Which of the following is NOT a congruence postulate?

Angle-Side-Angle Postulate

Angle-Angle-Angle Postulate

Side-Side-Side Postulate

Side-Angle-Side Postulate

Which of the following is NOT a congruence postulate?

Side-Side-Angle Postulate

Side-Angle-Side Postulate

Angle-Angle-Side Postulate

Angle-Side-Angle Postulate

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Question 5 1/1 pt 2 99

 No Solution

 Angle-Side-Angle (ASA)

 Side-Side-Side (SSS)

 Side-Angle-Side (SAS)

a.

b.

c.

d.

Determine which postulate can be used to prove the triangles are congruent.

-

-

-

-

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Question 6 1/1 pt 96

Question 7 1/1 pt 1 99

Determine which postulate can be used to prove the triangles are congruent.

Not enough information

SSS

ASA

AAS

SAS

Determine which postulate can be used to prove the triangles are congruent.

Not enough information

SSS

SAS

AAS

ASA

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Question 8 1/1 pt 2 99

Question 9 1/1 pt 0-2 99

Determine which postulate can be used to prove the triangles are congruent.

Not congruent

AAS

ASA

SSS

SAS

Determine which postulate can be used to prove the triangles are congruent.

Not congruent

ASA

SAS

SSS

AAS

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Question 10 1/1 pt 1-2 99

Question 11 1/1 pt 2 99

Question 12 1/1 pt 0-2 99

Complete the congruent statement and name the property.

If , and , then

using the property.

¯̄¯̄¯̄AC ≅¯̄¯̄¯̄DF ¯̄¯̄¯̄DF ≅¯̄¯̄¯GI ¯̄¯̄¯̄AC ≅ ¯̄¯̄¯̄EF ¯̄¯̄¯GI ¯̄¯̄̄ ¯̄GH ¯̄¯̄¯̄BC

transitive

Complete the congruent statement and name the property.

using the property.

¯̄¯̄¯̄BD ≅ ¯̄¯̄¯̄AB ¯̄¯̄¯̄BC ¯̄¯̄¯̄AC ¯̄¯̄¯̄BD

reflexive

Complete the congruent statement and name the property.

using the property.¯̄¯̄¯̄DC ≅ bar(CD) reflexive

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Question 13 0.33/1 pt 0-1 99

Question 14 0.5/1 pt 0-2 99

Complete the congruent statement and name the property.

using the property.¯̄¯̄¯̄BC ≅ bar(CB) symmetric

Select the correct reason for each step in the proof.

Steps Reasons

Given1. ¯̄¯̄¯̄AB ≅¯̄¯̄¯̄DE

2. ∠ACB ≅ ∠DCE Consecutive Interior Angle Theorem

3. ∠BAC ≅ ∠DEC Alternate Interior Angle Theorem

4. ΔABC ≅ ΔEDC ASA

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Question 15 1/1 pt 2 99

Question 16 0/1 pt 3 98

Select the correct reason for each step in the proof.

Let be the midpoint of and .

Steps Reasons

C ¯̄¯̄¯̄AE ¯̄¯̄¯̄BD

1. ∠ACB ≅ ∠DCE Consecutive Interior Angle Theorem

2. ¯̄¯̄¯̄AC ≅¯̄¯̄¯̄CE Given

3. ¯̄¯̄¯̄BC ≅¯̄¯̄¯̄CD Definition of midpoints

4. ΔABC ≅ ΔEDC SAS

Find the measure of .

60 °

∠BCA

m∠BCA =

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Question 17 0/1 pt 3 99

Question 18 0/1 pt 3 99

Use the figure to find the value of . x

(11x − 6) ∘

x =

Find and then and .

Note: Always make sure the value of produces positive lengths.

x ¯̄¯̄¯̄AB ¯̄¯̄¯̄BC

6x + 7 7x + 1

x

x =

¯̄¯̄¯̄AB =

¯̄¯̄¯̄BC =

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Question 19 0/1 pt 3 98

Question 20 0/1 pt 3 99

Find and then and .

Note: Solving a quadratic equation will result in two possible answers. Always make sure the value of produces positive lengths.

x ¯̄¯̄¯̄AB ¯̄¯̄¯̄BC

x 2 + 12x 6x + 7

x

x =

¯̄¯̄¯̄AB =

¯̄¯̄¯̄BC =

Find the measure of ∠BAC.

m∠BAC =

28 ∘

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Find `x` and then `mangleBAC` and `mangleBCA`.

Note: Always make sure the value of `x` produces positive angles.

`x=`

`mangleBAC=` °

`mangleBCA=` °

`(8 x-4)^@`

`44^@`