Geometry 6.1, 6.4-6.6 Review

What is the perpendicular bisector of a line segment?

• A line that runs parallel to the segment and divides it into two equal parts.

• A line that intersects the segment at a 90-degree angle and divides it into two equal parts.

• A line that intersects the segment at a 180-degree angle and divides it into three equal parts.

• A line that intersects the segment at a 45-degree angle and divides it into two unequal parts.

Tags

CCSS.HSG.CO.A.1

What is the angle bisector of an angle?

• A line or ray that divides the angle into two equal parts

• A line that is perpendicular to the angle

• A line that extends the angle to form a right angle

• A line that divides the angle into three equal parts

Tags

CCSS.HSG.CO.C.9

What is the Hinge Theorem used for in triangles?

• To compare the side lengths of two triangles when two pairs of corresponding angles are congruent.

• To calculate the area of a triangle

• To determine the length of the hypotenuse in a right-angled triangle

• To find the sum of all angles in a triangle

What is the Triangle Inequality Theorem?

• The sum of the lengths of any two sides of a triangle must be less than the length of the third side

• The Triangle Inequality Theorem only applies to equilateral triangles

• The Triangle Inequality Theorem states that all sides of a triangle must be equal in length

• Sum of the lengths of any two sides of a triangle must be greater than the length of the third side

What is the midsegment of a triangle?

• A line segment that connects the midpoints of a triangle and its circumcenter

• A line segment that connects the midpoints of all three sides of a triangle

• A line segment that connects the midpoints of two sides of a triangle.

• A line segment that connects the vertices of a triangle

Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)

• y = x - 4
• y = x + 4
• y = 1/2x -4
• y = x + 2

If you found the midpoint of line segment AB, what should you do next to find the equation of the perpendicular bisector?

• Use the midpoint and one of the points from AB to write the equation
• Use the midpoint and slope perpendicular to AB to write the equation
• Use the distance and midpoint to find the equation
• Skip it and hope it's not a test question

Tags

CCSS.HSG.CO.C.9

Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)

• y = 2x + 4
• y = 2x + 6
• y = -2x + 6
• y = 2x - 6

Tags

CCSS.HSG.CO.C.9

Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)

• y = -5/6x + 7/2
• y = 6/5x + 9/2
• y = 6/5x + 7/2
• y = 6/5x + 4

What is the midpoint between (3, -1) and (7, -5)

• (5, -2)
• (10, -6)
• (5, -3)
• (2, -2)

Tags

CCSS.HSG.GPE.B.6