Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
Curated OER
Triangle's Interior Angles
Given a pair of parallel lines and a triangle in between, geometers prove that the sum of the interior angles is 180 degrees. This quick quest can be used as a pop quiz or exit ticket for your geometry class.
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Texas Instruments
Texas Instruments: Angles Formed by Parallel Lines and a Transversal
Students explore relationships in various angles formed by 2 parallel lines and a transversal.
Texas Instruments
Texas Instruments: Parallel Lines, Transversals and Angles
This activity allows students to: 1. Identify the pairs of angles formed when a transversal intersects two lines.: 2. Measure angles Using Cabri Jr. 3. Identify relationships between pairs of angles when a transversal intersects parallel...
Texas Instruments
Texas Instruments: Parallel Lines Cut by a Transversal With Cabri Jr.
Using Cabri Jr, the students (with the teachers help) will create parallel lines cut by a transversal, measure angles, and compare the relationships of the angles formed using features of the Cabri Jr.
Texas Instruments
Texas Instruments: Properties of Parallel Lines Cut by a Transversal
In this activity, students create parallel lines and a transversal, and study the properties of the lines and their angles.
Texas Instruments
Texas Instruments: Parallel Lines Cut by a Transversal
In this activity, students learn and increase their knowledge about the angles formed when parallel lines are cut by a transversal.
Texas Instruments
Texas Instruments: Angles Formed by Parallel Lines
Students can use Cabri Jr. to construct parallel lines and transversals. They will make conjectures about the angles that are formed.
Texas Instruments
Texas Instruments: Sail Problem (Parallel Lines & Segment Relationships)
In this activity, students will explore the proportional relationships involved in multiple parallel lines being cut by transversals. These relationships are approached through exploration of a sail design problem, where students are to...
Texas Instruments
Texas Instruments: Angles and Transversals
Students explore the relationships of angles formed when two parallel or non-parallel lines are cut by a transversal. This activity investigates the terms: Transversal, corresponding angles, alternate interior angles, alternate exterior...
Analyze Math
Analyze Math: Parallel Lines and Angles Problems
Try these three problems about finding the measures of different angles that arise from diagrams involving parallel lines and transversals. Detailed solutions are written out for these three problems of moderate difficulty.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator: Parallel, Perpendicular, Slope, Transversal
Practice using your graphing calculator for drawing parallel lines, perpendicular lines, slope, and transversals. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly...
CK-12 Foundation
Ck 12: Parallel Lines and Transversals
[Free Registration/Login Required] Students will answer real world problems by determing where to add the additional beam using parallel lines and transversals. Click learn more to watch a video and click challenge me to answer a...
Texas Instruments
Texas Instruments: Parallel Lines
This file contains questions related to parallel lines cut by a transversal and the angles formed. The questions can be used to asses your students' understanding of this topic in geometry.
Varsity Tutors
Varsity Tutors: Hotmath: Slope, Parallel & Perpendicular Lines & Transversals
Twenty-five problems cover the topics of slope, parallel lines, perpendicular lines, and transversals in different settings. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the...