Podcast
Questions and Answers
If AB = x + 2, AC = -9 + 3x, and BC = 7, what is the value of AB?
If AB = x + 2, AC = -9 + 3x, and BC = 7, what is the value of AB?
- 15
- 9
- 12
- 10 (correct)
Given that AC = 15 and AB = 10, what is the length of BC?
Given that AC = 15 and AB = 10, what is the length of BC?
- 5 (correct)
- 25
- 10
- 15
In the diagram provided, find the length of KL, given that KM = 2x + 2, ML = 2x - 2, and KL = 12.
In the diagram provided, find the length of KL, given that KM = 2x + 2, ML = 2x - 2, and KL = 12.
- 10
- 8
- 12 (correct)
- 14
If m DEN = 23x - 3, m DEF = 149°, and m NEF = 14x + 4, what is the value of x?
If m DEN = 23x - 3, m DEF = 149°, and m NEF = 14x + 4, what is the value of x?
Find x if AC = 2x - 9, AB = -7 + x, and BC = 8, where A, B, and C are collinear and B is between A and C.
Find x if AC = 2x - 9, AB = -7 + x, and BC = 8, where A, B, and C are collinear and B is between A and C.
Find the value of x if m JIA = 52x - 2, m AIH = 18x + 3, and m JIH = 141°.
Find the value of x if m JIA = 52x - 2, m AIH = 18x + 3, and m JIH = 141°.
Find the value of x if m CDE = 2 + 26x, m CDI = 21x - 6, and m IDE = 38°.
Find the value of x if m CDE = 2 + 26x, m CDI = 21x - 6, and m IDE = 38°.
Find the distance between the two points (-4, 1) and (2, -5).
Find the distance between the two points (-4, 1) and (2, -5).
What is the midpoint of the line segment with endpoints (8, 1) and (-8, 0)?
What is the midpoint of the line segment with endpoints (8, 1) and (-8, 0)?
What is the midpoint of the line segment with endpoints (1, 6) and (2, -5)?
What is the midpoint of the line segment with endpoints (1, 6) and (2, -5)?
Find the distance between the two points (1, 4) and (-1, 2).
Find the distance between the two points (1, 4) and (-1, 2).
Find the distance between the two points (0.5, 4.4) and (-2.3, 0.9), rounded to the nearest tenth.
Find the distance between the two points (0.5, 4.4) and (-2.3, 0.9), rounded to the nearest tenth.
Find the distance between the two points (-4.8, -6.2) and (-6.6, 4), rounded to the nearest tenth.
Find the distance between the two points (-4.8, -6.2) and (-6.6, 4), rounded to the nearest tenth.
What is the midpoint of the line segment shown in the graph in question 4?
What is the midpoint of the line segment shown in the graph in question 4?
What is the measure of m AIH if m JIA = 52x - 2, m AIH = 18x + 3, and m JIH = 141°?
What is the measure of m AIH if m JIA = 52x - 2, m AIH = 18x + 3, and m JIH = 141°?
What is the measure of m CDI if m CDE = 2 + 26x, m CDI = 21x - 6, and m IDE = 38°?
What is the measure of m CDI if m CDE = 2 + 26x, m CDI = 21x - 6, and m IDE = 38°?
What is the length of segment RS in the diagram for question 7?
What is the length of segment RS in the diagram for question 7?
Solve for x if the length of the segment in problem 7 is 10. What is the length of segment SR?
Solve for x if the length of the segment in problem 7 is 10. What is the length of segment SR?
Which answer corresponds to the following expression: $\frac {5}{2}$? (Select all that apply)
Which answer corresponds to the following expression: $\frac {5}{2}$? (Select all that apply)
Which answer corresponds to the following expression: $172^\circ$?
Which answer corresponds to the following expression: $172^\circ$?
Identify the answer that represents the following expression: $-3 \frac {1}{2}$?
Identify the answer that represents the following expression: $-3 \frac {1}{2}$?
Identify the answer that represents the expression: $108^\circ$?
Identify the answer that represents the expression: $108^\circ$?
Identify the answer that represents the expression $\frac {37}{1}$?
Identify the answer that represents the expression $\frac {37}{1}$?
Identify the answer that corresponds to the following expression: $\frac {8}{2}$?
Identify the answer that corresponds to the following expression: $\frac {8}{2}$?
Identify the answer that corresponds to the expression -1, 1?
Identify the answer that corresponds to the expression -1, 1?
Identify the answer that corresponds to the expression $\frac {62}{1}$?
Identify the answer that corresponds to the expression $\frac {62}{1}$?
Flashcards
Collinear Points
Collinear Points
Points that lie on the same straight line.
Segment Addition Postulate
Segment Addition Postulate
If B is between A and C, then AB + BC = AC.
Solving for x
Solving for x
Finding the value of x in an equation.
Angle Measurement
Angle Measurement
Signup and view all the flashcards
Algebraic Expressions
Algebraic Expressions
Signup and view all the flashcards
Midpoint
Midpoint
Signup and view all the flashcards
Midpoint Formula
Midpoint Formula
Signup and view all the flashcards
Length of Line Segment
Length of Line Segment
Signup and view all the flashcards
Distance Formula
Distance Formula
Signup and view all the flashcards
Coordinates
Coordinates
Signup and view all the flashcards
Line Segment
Line Segment
Signup and view all the flashcards
Endpoints
Endpoints
Signup and view all the flashcards
Geometry
Geometry
Signup and view all the flashcards
m AIH
m AIH
Signup and view all the flashcards
Finding m CDI
Finding m CDI
Signup and view all the flashcards
Distance between points
Distance between points
Signup and view all the flashcards
Rounding answers
Rounding answers
Signup and view all the flashcards
Coordinate plane
Coordinate plane
Signup and view all the flashcards
Algebraic expression for angles
Algebraic expression for angles
Signup and view all the flashcards
Point
Point
Signup and view all the flashcards
Degrees
Degrees
Signup and view all the flashcards
Complementary Angles
Complementary Angles
Signup and view all the flashcards
Supplementary Angles
Supplementary Angles
Signup and view all the flashcards
Ordered Pair
Ordered Pair
Signup and view all the flashcards
Acute Angle
Acute Angle
Signup and view all the flashcards
Obtuse Angle
Obtuse Angle
Signup and view all the flashcards
Right Angle
Right Angle
Signup and view all the flashcards
Reflex Angle
Reflex Angle
Signup and view all the flashcards
Study Notes
Geometry Assignment: Midpoint and Length
-
Midpoint of a Line Segment: The midpoint of a line segment is the point exactly halfway between the endpoints. To find the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂), use the midpoint formula: ((x₁ + x₂)/2, (y₁ + y₂)/2).
-
Examples:
- For endpoints (8, 1) and (-8, 0): Midpoint is ((8 + (-8))/2, (1 + 0)/2) = (0, 0.5)
- For endpoints (1, 6) and (2, -5): Midpoint is ((1 + 2)/2, (6 + (-5))/2) = (1.5, 0.5)
- For endpoints (9, 10) and (1, -5): Midpoint is ((9 + 1)/2, (10 + (-5))/2) = (5, 2.5)
Finding the Length of a Line Segment
-
Use the distance formula: The distance between two points (x₁, y₁) and (x₂, y₂) is √((x₂ - x₁)² + (y₂ - y₁)²).
-
Example: For endpoints (0.5, 4.4) and (-2.3, 0.9) the distance is √((-2.3 - 0.5)² + (0.9 - 4.4)²) ≈ 4.5
Segment Addition Postulate
-
If B is between A and C, then AB + BC = AC. This shows how segments add up.
-
Example: If AC = 15 and AB = 10, then BC = 5.
Angle Addition Postulate
- If point B lies in the interior of ∠AOC, then ∠AOB + ∠BOC = ∠AOC.
Coordinate Plane Distance
-
To find the distance between two points, use the distance formula: √((x₂ - x₁)² + (y₂ - y₁)²).
-
Example: The distance between (-4, 1) and (2, -5) is √((2 - (-4))² + (-5 - 1)²) = √(6² + (-6)²) = √72 = 6√2
Solving for Variables in Geometry Problems
- Geometry problems often involve algebraic equations; use your knowledge of geometric principles and formulas to set up and solve these equations to find unknown values like x.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
This quiz covers the concepts of finding the midpoint and length of line segments in geometry. You will learn to apply the midpoint formula and the distance formula through practical examples. Test your understanding of segment addition and its application in geometric problems.
