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5.1-5.3 Bingo Write the following words on your bingo card in a RANDOM order. Median Concurrent Outside Altitude Equidistant On Perpendicular Bisector Sides Always Angle Bisector Vertices Sometimes Centroid Acute Never Incenter Obtuse Yes Circumcenter Right No Orthocenter Inside Circumscribed Answer each question and write a check mark in the box of your answer. The first person with 5 correct answers in a row (horizontal, vertical, diagonal) wins! Definition: A perpendicular segment from a vertex of a triangle to the opposite side, or to the line containing the opposite side. Term: _________________ Three or more lines that intersect in one point are called __________________ lines. The medians are concurrent at a point called the ___________________. For a right triangle, the circumcenter is located ___________________ the triangle. The altitudes of a scalene triangle ____________ intersect at a single point. (Always, sometimes, or never?) This point is equidistant from the vertices of a triangle. These lines intersect at a point called the incenter. The altitudes of a triangle are concurrent at a point called the __________________. The angle bisectors _______________ intersect outside the triangle. (Always, sometimes, or never?) Given that the circumcenter of a given triangle lies inside the triangle, classify the triangle by its angles. If a point is on the angle bisector of an angle, then it is equidistant from the _________ of the angle. These lines intersect at a point called the circumcenter. In an obtuse triangle, the orthocenter is located ____________ the triangle. The incenter is equidistant from the _______________ of the triangle. Is P on the angle bisector? This segment connects the vertex of a triangle to the midpoint of the opposite side. Given that the altitudes are concurrent at a vertex of the triangle, classify the triangle by its angles. If a point is on the perpendicular bisector of a segment, then it is _________________ from the endpoints of the segment. The angle bisectors are concurrent at this point. The centroid of an obtuse triangle is located ___________ the triangle. The centroid of a triangle is ___________ the incenter of the triangle. (Always, sometimes, or never?) The circumcenter is the center of the _______________ circle for any given triangle. Given that the circumcenter of a triangle is outside the triangle, classify the triangle by its angles. Game # 2 Now the real fun begins… Place the following words and numbers on your bingo chart in a RANDOM order. Angle Bisector None Median Altitude Perpendicular Incenter Orthocenter Circumcenter Centroid (0, 0) 3 5 6 8 13 FREE SPACE Bisector (-3, -2) 2 9 10 12 Identify the segment highlighted in red: Identify the coordinates of the circumcenter. RV = ____SV Identify the segment highlighted in red: RS = ____SV The angle bisectors meet at point G. What is the radius of the inscribed circle of triangle DEF? Point P is called the _________________. Identify the segment highlighted in red: D is the centroid of triangle ABC and DF=2. Find CF. The perpendicular bisectors of triangle MNP meet at Q. Find QN. Identify the coordinates of the orthocenter. Identify the segment highlighted in red: If FP = 6, what is FC? Point P is called the ______________. D is the centroid of triangle ABC. Find AF. XR = ____RU Identify the segment highlighted in red: Point P is called the _____________. The angle bisectors meet at point G. Find EH. Point H is called the ______________.