EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
Curated OER
Perpendicular Segments in a Circle
High schoolers explore the concept of circles as they construct a circle using a program such as Cabri Jr. Learners construct a chord and a diameter that are perpendicular, then measure the bisected chord and notice that both sides of...
Houghton Mifflin Harcourt
Lines, Line Segments, Rays, and Angles - Practice 15.1
Is it a line, line segment, ray, or angle? Identifying geometric figures is the focus. In addition to identification, learners recognize right angles or tell if an angle is less than or greater than a right angle. They tell if lines are...
Corbett Maths
Perpendicular Bisector
Where should the statue be located? The resource explains how to use a compass and straight-edge to construct the perpendicular bisector of a line segment. Using an exam question, the narrator models how to solve an application problem...
Curated OER
Congruent Segments
The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another.
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...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
Curated OER
Points, Lines, and Line Segments - Homework 16.1
In this geometry worksheet, students complete a homework assignment in which they name 3 lines and line segments. They write parallel, intersecting, or perpendicular, to describe the relationships between 4 pairs of lines. They draw an...
EngageNY
Parallel and Perpendicular Lines
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
EngageNY
Characterize Points on a Perpendicular Bisector
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...
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
Construct a Perpendicular Bisector
How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...
EngageNY
Equations for Lines Using Normal Segments
Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to...
Curated OER
Perpendicular Bisector of a Line Segment
High Schoolers investigate the perpendicular bisector of a line segment. They use Cabri Jr. to construct the perpendicular bisector of a segment. The dynamics capabilities of Cabri Jr. allow your learners to observe the lengths of the...
Curated OER
Perpendicular Bisector Theorem
High schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.
Curated OER
Perpendicular Bisector
In this perpendicular bisector learning exercise, students fold paper, according to instructions, to discover the perpendicular bisector of a segment. They explore the distances from the bisector to the endpoints of a...
CK-12 Foundation
Bisectors of Line Segments and Angles: Cut a Line
Geometric constructions build relationships —by simply manipulating simple tools. An interactive lesson presents a completed construction of a segment bisector and has learners analyze the important aspects. Ultimately, they should be...
Illustrative Mathematics
The Geometry of Letters
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Curated OER
Lines and Line Segments
In this lines and line segments instructional activity, students solve 6 word problems where they identify lines and line segments, draw rectangles made of line segments, and define perpendicular and intersecting lines. The problems...
Curated OER
Cabri Jr. Perpendicular Bisector of a Chord
Your learners will construct the perpendicular bisector of a chord. They use Cabri Jr. to construct a circle and a perpendicular bisector of a chord. They then measure lengths of the chords and perpendicular bisectors. Learners use...
Math Mammoth
Parallel & Perpendicular Lines
In this geometry learning exercise, 4th graders list the lines that are parallel or perpendicular to each other. Then they mark with one color the line segments that are parallel and another color those that are perpendicular.
Curated OER
IGD: Perpendicular Bisector
Students draw perpendicular bisectors. In this perpendicular bisectors instructional activity, students identify the perpendicular bisector in a polygon. They use web tools to create and measure perpendicular bisectors. ...
Curated OER
Hands On: Construct Parallel and Perpendicular Lines
In this parallel and perpendicular lines worksheet, students solve 6 word problems where they must construct parallel and perpendicular lines, or identify parallel and perpendicular lines in figures. Students must explain the steps used...
Curated OER
Geometry Lesson 7: Line Segments And Angles
Fourth graders examine and identify line segments and angles using dot paper to draw them. They look at vertical, horizontal, intersecting, parallel and perpendicular lines, draw right angles and angles that are greater than and less...