Semester 1 Final Geometry - Free Response

Last updated over 3 years ago

14 questions

Library

Semester 1 Final Geometry - Free Response

Last updated over 3 years ago

14 questions

Question 1

Do AB and CD have the same length?
A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Question 2

Do JK and LN have the same midpoint?
J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Question 3

Apply the sequence of transformations to ∆ABC on the graph below:
Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

Question 4

What is the value of x? Show your work.

Question 5

What is the value of y? Show your work.

Question 6

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?
Fill in the blanks with the information needed.

Question 7

Fill in the blanks:
∠5 and ∠_ are alternate interior angles
∠7 and ∠_ are corresponding angles
∠5 and ∠_ are same-side interior angles (Type this answer)
∠8 and ∠_ are alternate exterior angles

Question 8

Write the proof: Given: ABbisects ∠CBD, ∠CAB ≅ ∠DAB Prove: △CAB ≅ △DAB

Question 9

A geologist wants to find the distance d across a river. They locate points as shown below.

Question 10

10.

The two triangles shown below are similar.

Question 11

11.

Volume:

Question 12

12.

Surface Area:

Question 13

13.

Volume

Question 14

14.

Surface Area:

Question 1

Do AB and CD have the same length?
A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Question 2

Do JK and LN have the same midpoint?
J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Question 3

Apply the sequence of transformations to ∆ABC on the graph below:
Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

Question 4

What is the value of x? Show your work.

Question 5

What is the value of y? Show your work.

Question 6

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?
Fill in the blanks with the information needed.

Question 7

Fill in the blanks:
∠5 and ∠_ are alternate interior angles
∠7 and ∠_ are corresponding angles
∠5 and ∠_ are same-side interior angles (Type this answer)
∠8 and ∠_ are alternate exterior angles

Question 8

Write the proof: Given: ABbisects ∠CBD, ∠CAB ≅ ∠DAB Prove: △CAB ≅ △DAB

Question 9

A geologist wants to find the distance d across a river. They locate points as shown below.

Question 10

10.

The two triangles shown below are similar.

Question 11

11.

Volume:

Question 12

12.

Surface Area:

Question 13

13.

Volume

Question 14

14.

Semester 1 Final Geometry - Free Response

Semester 1 Final Geometry - Free Response

Do AB and CD have the same length?A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Do JK and LN have the same midpoint?J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Apply the sequence of transformations to ∆ABC on the graph below:Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

What is the value of x? Show your work.

What is the value of y? Show your work.

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?Fill in the blanks with the information needed.

Fill in the blanks:∠5 and ∠___ are alternate interior angles∠7 and ∠___ are corresponding angles∠5 and ∠___ are same-side interior angles (Type this answer)∠8 and ∠___ are alternate exterior angles

Write the proof: Given: ABbisects ∠CBD, ∠CAB ≅ ∠DAB Prove: △CAB ≅ △DAB

A geologist wants to find the distance d across a river. They locate points as shown below.

The two triangles shown below are similar.

Volume:

Surface Area:

Volume

Surface Area:

Do AB and CD have the same length?A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Do JK and LN have the same midpoint?J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Apply the sequence of transformations to ∆ABC on the graph below:Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

What is the value of x? Show your work.

What is the value of y? Show your work.

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?Fill in the blanks with the information needed.

Fill in the blanks:∠5 and ∠___ are alternate interior angles∠7 and ∠___ are corresponding angles∠5 and ∠___ are same-side interior angles (Type this answer)∠8 and ∠___ are alternate exterior angles

Write the proof: Given: ABbisects ∠CBD, ∠CAB ≅ ∠DAB Prove: △CAB ≅ △DAB

A geologist wants to find the distance d across a river. They locate points as shown below.

The two triangles shown below are similar.

Volume:

Surface Area:

Volume

Surface Area:

Do AB and CD have the same length?
A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Do JK and LN have the same midpoint?
J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Apply the sequence of transformations to ∆ABC on the graph below:
Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?
Fill in the blanks with the information needed.

Fill in the blanks:
∠5 and ∠_ are alternate interior angles
∠7 and ∠_ are corresponding angles
∠5 and ∠_ are same-side interior angles (Type this answer)
∠8 and ∠_ are alternate exterior angles

Do AB and CD have the same length?
A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Do JK and LN have the same midpoint?
J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Apply the sequence of transformations to ∆ABC on the graph below:
Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?
Fill in the blanks with the information needed.

Fill in the blanks:
∠5 and ∠_ are alternate interior angles
∠7 and ∠_ are corresponding angles
∠5 and ∠_ are same-side interior angles (Type this answer)
∠8 and ∠_ are alternate exterior angles