EngageNY
Segments That Meet at Right Angles
Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...
Curated OER
Parallel and Perpendicular Lines
Fourth graders examine parallel, perpendicular and intersecting lines. They create a drawing using examples of each type of line. They color code and explain the characteristics of specified lines.
Curated OER
Intersecting Lines
In this intersecting lines worksheet, 10th graders solve and complete 16 various types of problems. First, they find the measures of each missing angles in the diagrams shown. Then, students determine the types of angles formed in each...
Willow Tree
Angles Formed by Transversals of Coplanar Lines
Create a strong understanding of the relationships formed when parallel lines intersect a transversal. Discuss each type of angle pair and their relationship to each other.
EngageNY
Secant Angle Theorem, Exterior Case
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
West Contra Costa Unified School District
Parallel Lines Cut by a Transversal
Parallel lines seem so right for each other. It's too bad they'll never, ever meet. Learners use tracing paper to discover relationships among angles formed by two parallel lines cut by a transversal. They apply this information to find...
West Contra Costa Unified School District
Arcs and Angles
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
Curated OER
Missing Measures: Intersecting Lines 2
On a four-page handout that contains 16 multi-step problems, pupils compute the value of various alternate, complementary, and supplementary angles created by intersecting lines and transversals. Answers are provided on the last two...
Flipped Math
Properties of Parallel Lines
Work within a parallel universe. Scholars learn about the relationships of angles when two parallel lines are intersected by a transversal. They see how to find the measurements of all eight angles by knowing the measure of one angle....
Curated OER
Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
Curated OER
Exploring Angle/Pair Relationships
Students find missing angles and sides of triangles. For this geometry lesson, students create intersecting lines to measure angles. They use Cabri Software to create virtual angles.
Curated OER
Parallel Lines
Based on two sets of parallel lines intersected by a transversal, your young geometers determine the measures of 10 angles by applying the definitions of vertical, corresponding, alternate interior, and alternate exterior angles. When...
Curated OER
Perpendicular Lines
In this perpendicular lines practice worksheet, young scholars find and list examples of perpendicular lines at home, at school, and outside.
Radford University
Parallel Lines, Transversals, and Angles: What’s the Connection?
Streets, bridges, and intersections, oh my! Parallel lines and transversals are a present in the world around us. Learners begin by discovering the relationship of the angles formed by parallel lines and a transversal. They then apply...
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Willow Tree
Interior Angles, Exterior Angles, and Diagonals of Polygons
How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate the number of...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
Curated OER
What's The Idea?
Sixth graders explore line segments, rays, parallel, perpendicular and intersecting lines. The teacher discusses, with the class, real life items that represent each geometric idea studied. They use cotton balls, strings and popsicle...
Curated OER
Parallel and Perpendicular Lines
Fourth graders create a dance with a partner that shows parallel and perpendicular lines. In this lines lesson plan, 4th graders create symmetrical designs and line pairs with their partner.
Curated OER
Intersecting Planes
In this intersecting planes worksheet, 10th graders solve and complete 27 various types of problems. First, they use the diagrams at the right to answer each of the questions. Then, students measure each angle shown and classify them as...
Curated OER
Angle Relationships
Tenth graders explore the angle relationships that exist when two lines intersect. In this geometry lesson, 10th graders estimate the measure of given angles and use their graphing calculator tools. Students use this knowledge to find...
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...