Geometry midterm study part 1

Use the midpoint formula to find the midpoint of the line segment with endpoints (3, 4) and (7, 2).

• (6, 3)

• (5, 3)

• (4, 5)

• (3, 2)

Prove that two triangles are congruent using the SSS postulate.

• Show that the three angles of one triangle are congruent to the three angles of the other triangle.

• Demonstrate that the three vertices of one triangle are congruent to the three vertices of the other triangle.

• Prove that the three sides of one triangle are parallel to the three sides of the other triangle.

• Show that the three sides of one triangle are congruent to the three sides of the other triangle.

Explain the concept of geometry postulates and their significance in proving theorems.

• Geometry postulates are fundamental in providing the starting point for proving theorems.

• Geometry postulates are only used in theoretical geometry, not in practical applications

• Geometry postulates are only used in basic geometry, not in advanced theorems

• Geometry postulates are irrelevant in proving theorems

Use the distance formula to find the distance between the points (2, 3) and (4, 1).

• 2

• 3

• √8

• √5

Prove that two triangles are similar using the AA postulate.

• Show that the three sides of one triangle are congruent to the three sides of the other triangle.

• Show that two angles of one triangle are congruent to two angles of the other triangle.

• Prove that the three vertices of one triangle are congruent to the three vertices of the other triangle.

• Prove that the three sides of one triangle are parallel to the three sides of the other triangle.

Use the distance formula to find the distance between the points (5, 7) and (1, 3).

• 5

• √20

• √16

• 4

Use the midpoint formula to find the midpoint of the line segment with endpoints (6, 8) and (2, 4).

• (4, 6)

• (3, 5)

• (5, 7)

• (4, 5)

Use the distance formula to find the distance between the points (7, 9) and (3, 5).

• √20

• 5

• 4

• √16

Prove that two triangles are similar using the SAS postulate.

• Show that two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.

• Show that the three sides of one triangle are congruent to the three sides of the other triangle.

• Prove that the three vertices of one triangle are congruent to the three vertices of the other triangle.

• Prove that the three sides of one triangle are parallel to the three sides of the other triangle.

Use the midpoint formula to find the midpoint of the line segment with endpoints (8, 10) and (4, 6).

• (6, 8)

• (5, 7)

• (4, 5)

• (6, 7)