Curated OER
Special Segments in Triangles
Students identify important properties of triangles. In this geometry instructional activity, students differentiate between medians, bisectors and altitudes in a triangle. They identify the properties of these important segments.
Curated OER
Special Segments in a Triangle
In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...
Illustrative Mathematics
Placing a Fire Hydrant
Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this lesson. Here the class investigates the measure of center that is equidistant to the three...
Concord Consortium
Short Pappus
It's all Greek to me. Scholars work a task that Greeks first formulated for an ancient math challenge. Provided with an angle and a point inside the angle, scholars develop conjectures about what is true about the shortest line segment...
Curated OER
Special Segments in Triangles
In this special segments in triangles worksheet, 10th graders solve 5 different types of triangles. First, they identify and describe the four types of segments associated with triangles. Then, students draw and label a figure that...
Curated OER
Special Segments in Triangles
In this special segments in triangles worksheet, 10th graders solve 6 various types of problems related to determining types of segments found in triangles. First, they find a segment if the line parallel is a median or an altitude....
Curated OER
The Relationship Between Slope and Perpendicular Lines
In this perpendicular lines worksheet, students explore the relationship between perpendicular lines and slope in eight exercises and two worked examples. The solutions are provided.
Curated OER
Points, Lines, Segments, Rays, and Angles
In this geometry instructional activity, 5th graders label the two figures shown. Worksheet reviews and provides examples of a point, parallel lines, angles, rays, line segments, and perpendicular lines.
Curated OER
Points, Lines and Segments
In this point, line and segment worksheet, students use words and symbols to name given figures; when 2 lines are show, students label as parallel, intersecting or perpendicular.
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Curated OER
Parallels and Distance
In this parallels and distance worksheet, 10th graders solve 8 problems related to parallels of lines and the distance between each line. First, they draw the segment that represents the distance indicated in each figure. Then, students...
Curated OER
Studying Special Segments in Triangles
Students investigate special segments in triangles. In this geometry lesson, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence of triangles.
Curated OER
Construct, Bisect, Duplicate: Geometry Practice with Compass and Straight Edge
Geometers employ a straight edge and compass to duplicate and bisect segments and angles, construct perpendiculars, parallel lines, figures, and circles with points of concurrency. Ample practice with 65 questions across 8 worksheets. No...
Curated OER
Parallel and Perpendicular Letters
In this parallel and perpendicular worksheet, students complete 4 problems, identify parallel and perpendicular line segments and completing an 'extend it' question.
Curated OER
Finding the Measure of Segments
Students observe and solve examples of betweenness, ruler postulate, and segment addition postulate. They complete the Finding the Measure of Segments worksheet using the distance formula.
Curated OER
A Perpendicular Pilgrimage
Ninth graders design a safe passage through a 2-D obstacle. In this geometric math lesson, 9th graders engage in a hands on activity to better understand the concept of geometric and algebraic perpendicularity. Students will work in...
Curated OER
Constructing Perpendiculars
Learners construct perpendicular lines. For this geometry lesson, students use a compass and straight edge to do construction. They start from a point to a line.
Curated OER
Tangents, Secants, and Chords
In this tangents, secants and chords worksheet, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the center and a...
Curated OER
Chapter 5 Final Review Extra Problems. Triangles
In this triangles worksheet, students identify the median, altitude, segment, angle bisector, perpendicular bisector and triangle midsegment of triangles. They find the perimeter of triangles. This three-page worksheet...
Curated OER
Simplifying Expressions
In this simplifying expressions worksheet, 11th graders solve and complete 44 various types of problems. First, they solve for the given variable in each equation. Then, students simplify each expression and factor completely. They also...
Curated OER
Angles in Circles
In this angles in circles worksheet, 10th graders solve 10 different problems that include tangents and chords and intersecting chords. First, they find x when given 2 intersecting chords. Then, students determine x given the diameter...
Curated OER
Standardized Geometry Test Practice
In this angles, lines and figures review worksheet, 10th graders solve and complete 33 standardized multiple choice problems. First, they use the Segment Addition Postulate to solve for a variable given an equation for each line. Then,...
Virginia Department of Education
Constructions
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...