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6

Use the answer choices to fill-in each of the blanks to correctly classify the type of triangle by its angle and sides.

Obtuse Isosceles Triangle
Right Isosceles Triangle
Right Scalene Triangle
Acute Scalene Triangle
Obtuse Scalene Triangle
Acute Equilateral Triangle

is a _________________.
A triangle with angle measures of 30°, 120°, and 30° is a _________________.
A triangle with no equal sides and angle measures of 90°, 55° and 35° is a _________________.

G.CO.10

6

Identify the transformation that results in the shape and/or size of the figure being distorted.

Draggable item		Corresponding Item
Dilation
Vertical Stretch
Horizontal Stretch

G.CO.2

G.CO.7

6

Identify the rigid transformation that can be used to map each figure onto each other to prove they are congruent.

Draggable item		Corresponding Item
Rotation
Translation
Reflection

G.CO.2

G.CO.7

5

Given , which statement is true?

G.CO.10

30

Determine if it is possible to prove each pair of triangles are congruent or not necessarily congruent. If it is possible to prove that the triangles are congruent, choose the congruence postulate or theorem you would use in your proof.

Congruent by Angle-Side-Angle Theorem
Congruent by Side-Angle-Side Theorem
Congruent by Side-Side-Side Theorem
Not Necessarily Congruent

G.CO.8

5

Which additional congruence(s) is needed in the diagram to prove ? Choose the ONE best answer.

G.CO.8

Given: ,

Prove: Base angles of the isosceles are congruent

Fill-in each blank in the proof with the correct statement.

A geometric proof diagram showing a triangle with labeled points W, X, Y, Z and a proof table. The table contains statements and reasons related to triangle congruence.

2

Statement 1 is

G.CO.10

G.CO.8

2

Statement 3 is

G.CO.10

G.CO.8

3

Reason 2 is

G.CO.10

G.CO.8

4

Given the measure of , what is the measure of ?

G.CO.10

4

Given the measure of , what is the measure of ?

G.CO.10

4

What is the degree measure of $∠XYZ$?

G.CO.10

What is the value of "x" and what is the length of each side of the equilateral triangle?

null

3

What is the value of "x" in the equilateral triangle?

G.CO.10

G.CO.7

4

What is the length of each side of the equilateral triangle?

G.CO.10

G.CO.7

The triangular faces of the peaks on a roof are congruent isosceles triangles with vertex angles $U$ and $V$.

Diagram of a roof with dimensions labeled, showing two triangular sections, labeled with points W, U, V, X, and Y. The distance between W and X is 8 meters and the height from W to U is 6.5 meters.

3

G.CO.10

3

What is the distance in meters between points U and V?

G.CO.10

Geometry: Unit 3 Congruence Test FINAL Fields

Geometry: Unit 3 Congruence Test FINAL Fields

Use the answer choices to fill-in each of the blanks to correctly classify the type of triangle by its angle and sides.

Identify the transformation that results in the shape and/or size of the figure being distorted.

Identify the rigid transformation that can be used to map each figure onto each other to prove they are congruent.

Given , which statement is true?

Determine if it is possible to prove each pair of triangles are congruent or not necessarily congruent. If it is possible to prove that the triangles are congruent, choose the congruence postulate or theorem you would use in your proof.

Which additional congruence(s) is needed in the diagram to prove ? Choose the ONE best answer.

Given the measure of , what is the measure of ?

Given the measure of , what is the measure of ?

What is the degree measure of $∠XYZ$?

What is the value of "x" in the equilateral triangle?

What is the length of each side of the equilateral triangle?

What is the distance in meters between points U and V?

Use the answer choices to fill-in each of the blanks to correctly classify the type of triangle by its angle and sides.

Identify the transformation that results in the shape and/or size of the figure being distorted.

Identify the rigid transformation that can be used to map each figure onto each other to prove they are congruent.

Given , which statement is true?

Determine if it is possible to prove each pair of triangles are congruent or not necessarily congruent. If it is possible to prove that the triangles are congruent, choose the congruence postulate or theorem you would use in your proof.

Which additional congruence(s) is needed in the diagram to prove ? Choose the ONE best answer.

Given the measure of , what is the measure of ?

Given the measure of , what is the measure of ?

What is the degree measure of $∠XYZ$?

What is the value of "x" in the equilateral triangle?

What is the length of each side of the equilateral triangle?

What is the distance in meters between points U and V?