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...

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...

Show it can all be proved. Scholars learn the converses of the properties of parallel lines. Using the converses, pupils determine which lines are parallel based on angle measurements and practice using a flow proof to show that two...

Define parallel lines through transformations. The third lesson of 18 examines the result of the translation of a line. Two possible outcomes include coinciding lines and parallel lines.

Here is a worksheet that lines up perfectly with the skills needed to finish a geometric proof. Eleven problems are given to see if learners can prove that lines are parallel or angles are congruent. 

For 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?...

In this parallel lines worksheet, 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...

In this geometry worksheet, students identify the different angles formed by cut parallel lines. They name the angles and find the measures of each. There are 24 questions.

The Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.

Practice using parallel structure. Learners correct faulty parallelism in an extensive list of sentences. The faults in each sentence are sometimes subtle, so scholars will need solid background knowledge on parallel structure to catch...

Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...

Can your classes apply the knowledge they have learned? Use this performance task to find out! Individuals use transformations to explain congruence and angle relationships within parallel lines to find missing values. They show what...

In this geometry worksheet, 10th graders determine the measures of the angles formed when parallel lines are cut by a transversal.  The two page worksheet contains eleven problems.  Answers are not provided. 

In this lines and angles instructional activity, 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 this geometry worksheet, students identify the angles formed by parallel lines and a transversal. They differentiate between the angles of a transversal and that of a perpendicular line. There are 14 questions.

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...

In this proving lines parallel worksheet, 10th graders solve 8 different problems related to proving that lines are parallel in each figure. First, students find the value of x so that line l and line m are parallel. Then, students...

In this geometry worksheet, students identify parallel lines, examine and interpret diagrams, and find the value of corresponding angles and lines.  This one-page worksheet contains 6 multiple-choice problems.  Answers are...

In this proving lines parallel worksheet, 10th graders solve 10 different types of problems that prove that various lines are parallel to each other. First, they find the value of x so that line a is parallel to line b. Then, students...

In this geometry practice problems learning exercise, students write geometric proofs to prove the validity of given circumstances. Students prove parallel lines, perpendicular lines, and similar angles. This four-page learning exercise...

Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...

In this similarity worksheet, 10th graders solve and complete 14 different types of problems. First, they find the length of each segment given two lines parallel. Then, students find the measure of each segment of a parallelogram...

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...

In this geometry activity, students identify the missing angles formed by parallel lines and a transversal. They differentiate between parallel and perpendicular lines. There are four questions.