Basic Constructions
Define “construction” in geometry.
What is a precise drawing made using only a compass and straightedge?
Define a line segment.
What is a part of a line with two endpoints?
Define an angle.
What is a figure formed by two rays with a common endpoint (vertex).
State what collinear points are.
What are points that fixed on the same line
State what a bisector is.
What is "a ray in the middle of an angle that divides it into two congruent angles"
Definition of a compass.
What is a tool that is used to draw circles and arcs?
Define a ruler.
What is a tool that is used to measure segments?
Define a protractor.
What is a tool that is used to measure angles?
If AB = 6 and BC = 9, find AC.
What is 15?
If m∠ABD = 25° and m∠DBC = 35°, find m∠ABC.
What is 60°
Definition of a straightedge.
What is a tool used to draw straight lines?
Define the Segment Addition Postulate.
What is if B is between A and C, then AB + BC = AC?
Define the Angle Addition Postulate.
What is "If ray BD is inside ∠ABC, then m∠ABD + m∠DBC = m∠ABC."
If AC = 25 and AB = 10, find BC.If AC = 25 and AB = 10, find BC.
What is 15?
If m∠ABC = 100° and m∠ABD = 40°, find m∠DBC.
What is 60°
Define “angle bisector.”
What is a ray that divides an angle into two congruent angles?
If AB = 5 cm and BC = 7 cm, find AC.
What is 12 cm?
If m∠ABD = 30° and m∠DBC = 45°, find m∠ABC.
What is 75°
Define “midpoint.”
What is a point that divides a segment into two congruent parts?
Define “straight angle.”
What is an angle that measures 180°.
Define “perpendicular lines.”
What are lines that intersect to form right angles (90°)?
If AC = 20 cm and AB = 8 cm, find BC.
What is 12 cm?
If m∠ABC = 120° and m∠ABD = 50°, find m∠DBC.
What is 70°
If M is the midpoint of AB and AB = 18, find AM and MB.
What is 9 (for each)?
If ∠ABC is a straight angle and ray BD splits it into ∠ABD = 72°, find ∠DBC.
What is 108°.