The triangle congruence criteria to prove triangles ABC and ADC are congruent.

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Answer 1

Question

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

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Assume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the above

Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the above

Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 TH

Answer 2

Question

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

Expert Solution & Answer

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Answer 3

Question

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

Expert Solution & Answer

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See solution

Answer 5

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

Answer 6

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

Answer 7

Chapter 14.3, Problem 7P

(a)

To determine

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

Answer 8

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

Answer 9

(b)

To determine

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

Answer 10

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

Answer 11

(c)

To determine

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

The triangle congruence criteria to prove triangles ABC and ADC are congruent.

To find: The triangle congruence criteria to prove triangles ABC and ADC are congruent.

To explain: The reason behind to not use the SAS congruence criteria even though it looks like angle BAC and DAC are equal.

To prove: Angle BAC and DAC are equal by the use of triangle congruence criteria

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Chapter 14 Solutions