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.
GeoGebra
Conjectures and Proof
Transform proofs using triangle rotations. By rotating a triangle around various points, class members develop proofs. Participants prove relationships of alternative interior angles formed by parallel lines and the sum of the interior...
EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
Curated OER
Making Parallel Lines
Students differentiate between parallel and perpendicular lines. For this geometry lesson, students make conjectures and apply it to solve real life situations. They collect data and make predictions based on the data.
Curated OER
Constructing Parallel and Perpendicular Lines
In this geometry worksheet, pupils construct lines that are parallel and perpendicular forming different angles. They differentiate between interior and exterior angles. Students identify the angles formed by a transversal and...
Curated OER
Special Angles on Parallel Lines
Tenth graders investigate parallel lines and their special angles cut by a transversal. In this geometry lesson plan, 10th graders identify and find corresponding, alternate interior, and alternate exterior angles formed when parallel...
Curated OER
Geometry Lines and Angles
In this lines and angles worksheet, 10th graders solve and complete types of problems that include different line segments and angles to identify. First, they determine whether each line is parallel, skew, or perpendicular in the diagram...
Curated OER
Proving Lines Parallel Homework
In this parallel lines worksheet, students solve 13 short answer and fill in the blank problems. Students determine which lines are parallel given a statement such as if these angle measures are equal then which lines are parallel?...
Curated OER
Parallel Lines and Transversals
In this parallel lines and transversals worksheet, 10th graders solve nine different problems related to measuring parallel lines and transversals. First, they name two more pairs of parallel segments, two more skew segments, and two...
Curated OER
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts worksheet, 10th graders solve 5 different problems related to determining whether lines are parallel and proportional in each figure. First, they refer to the figure shown at the top to...
Curated OER
Constructing Parallel Lines
Students construct parallel lines using a protractor and a straightedge. In this geometry lesson plan, students identify the properties of parallel lines. They use Cabri to graph and observe the lines.
Curated OER
Alternate Interior Angles
Label angles of parallel lines to analyze the angles created by a transversal and two parallel lines. They graph their lines and observe the similarity and difference in the angles.
Curated OER
Parallel Lines
In this parallel lines activity, 10th graders solve and complete 16 different types of problems. First, they name the lines that are parallel to those listed. Then, students find that values that make each set of line parallel. They also...
Curated OER
Similar Situations
Students explore intersecting lines. For this intersecting lines lesson, students investigate shapes consisting of parallel, perpendicular, and similar lines. Students investigate these lines in shapes around them.
EngageNY
Solve for Unknown Angles—Transversals
Lead your class on an exciting journey through the world of math as they review geometry facts and solve for unknown angles. They learn how to use auxiliary lines and congruent angles to correctly complete each practice problem...
EngageNY
Angle Sum of a Triangle
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
Curated OER
Parallel, Perpendicular, or Neither
Study the difference between parallel and perpendicular lines with a set of study cards. After filling in notes (found on the second page), kids can quiz each other on the characteristics of each line, including a section that represents...
Incredible Art
1, 2, and 3-Point Perspective
Introduce drawing students to perspective with a series of lesson plan that detail how to draft images in one-, two-, and three-point perspective. Each exercise includes step-by-step, illustrated directions and examples.
Curated OER
Angles and Parallel Lines
Sixth graders draw parallel and intersecting lines to observe and examine the characteristics of alternate interior angles, vertical angles, corresponding angles, and supplementary angles. Through observation, they discover the...
Lone Star College
Geometry Worksheet II
Young geometers get practice with the algebra of angles in an extensive skills practice worksheet. Supplementary, complementary, and vertical angle relationships are used, along with parallel lines cut by a transversal and angle sum...
Curated OER
Angle Pairs
Eighth graders are introduced to the vocabulary associated with angles. They experiment with vertical angles, alternate interior angles, alternate exterior angles, and corresponding angles. They determine angle pair relationships when...
Curated OER
Tell Me! Geometry
In this geometry and measurement worksheet, students solve 20 problems pertaining to parallel lines, geometric figures, right angles and simple measurements.
Curated OER
Geometry - Angles Overview
Learners address 14 questions that include naming all pairs of opposite and supplementary angles for sets of intersecting lines and then, finding the measure of the unknown angle. They determine the measure of the angle that is...
EngageNY
Making Scale Drawings Using the Parallel Method
How many ways can you create a dilation? Many! Individuals strengthen their understanding of dilations by using various methods to create them. The new technique builds on pupils' understanding of the ratio method. Using the ratio,...