Lesson Plan
EngageNY

Similarity and the Angle Bisector Theorem

For Teachers 9th - 10th Standards
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Lesson Plan
EngageNY

Copy and Bisect an Angle

For Teachers 9th - 10th Standards
More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.
Lesson Plan
Curated OER

Altitude, Median, and Angle Bisector of a Triangle

For Teachers 9th - 12th Standards
Learners investigate the special properties of an altitude, a median, and an angle bisector and explore how these special segments divide the area of a triangle. The dynamic nature of Cabri Jr. allows pupils to form and verify conjectures.
Lesson Plan
Curated OER

Perpendicular and Angle Bisectors

For Teachers 10th
In this geometry worksheet, 10th graders solve problems that are based on the theorems associated with perpendicular and angle bisectors of a triangle.  An application on the coordinate plane is included.  The one page...
Lesson Plan
Curated OER

Angle Bisectors

For Teachers 9th - 12th
Students identify different angles. In this geometry lesson, students identify different properties of triangles. They find the altitude, median and angle bisector.
Lesson Plan
EngageNY

Congruence Criteria for Triangles—AAS and HL

For Students 9th - 10th Standards
How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The lesson...
Lesson Plan
Curated OER

Inscribing a Circle in a Triangle

For Teachers 9th - 12th Standards
Pupils investigate inscribing a circle in a triangle. They use Cabri Jr. to draw a triangle, locate the incenter, and use the distance from the incenter to a side of the triangle to inscribe a circle. The dynamic nature of the geometry...
Lesson Plan
Curated OER

Special Segments in Triangles

For Teachers 9th - 12th Standards
Learners identify important properties of triangles. In this geometry lesson plan, students differentiate between medians, bisectors and altitudes in a triangle. They identify the properties of these important segments.
Lesson Plan
Curated OER

Bisectors of Triangles

For Teachers 10th
For this geometry worksheet, 10th graders solve problems involving the perpendicular bisectors and angle bisectors of a triangle and their points of concurrency.  The one page worksheet contains sixteen questions.  Answers...
Lesson Plan
Curated OER

Concurrent Lines in Triangles

For Teachers 9th - 12th
Students explore the concept of concurrent lines in triangles. For this concurrent lines in triangles lesson, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles. Students use a...
Lesson Plan
Curated OER

Special Segments of Triangles Jigsaw Activity

For Teachers 11th - 12th
Students identify the special segments of triangles, the median, angle bisector, altitude, and perpendicular bisectors.
Lesson Plan
EngageNY

Tangent Segments

For Teachers 9th - 12th Standards
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
Lesson Plan
EngageNY

Points of Concurrencies

For Teachers 9th - 10th Standards
You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.
Lesson Plan
EngageNY

Triangle Congruency Proofs (part 1)

For Teachers 9th - 10th Standards
Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...
Lesson Plan
Curated OER

Special Segments in a Triangle

For Teachers 10th
In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...
Lesson Plan
Curated OER

Isosceles Triangles

For Teachers 9th - 10th
Learners identify the properties of an isosceles triangle. In this geometry lesson, students find the midpoint, median and angle bisector of a triangle. They construct angle bisectors and measure missing angles.
Lesson Plan
Curated OER

Studying Special Segments in Triangles

For Teachers 8th - 10th
Students investigate special segments in triangles. In this geometry lesson, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence of triangles.
Lesson Plan
Curated OER

Inscribed Angles

For Teachers 9th - 10th
Learners calculate the inscribed angle of a triangle. In this geometry lesson, students identify the angle created by intersection of a triangle and a circle. They see the relationship between the arc and the angle.
Lesson Plan
Curated OER

Special Triangles and Circles

For Teachers 9th - 11th
Students investigate special triangles and circles. In this geometry lesson, students construct a perpendicular bisector and discuss angles of a triangle. They find the angle bisectors, vetex and the types of circle constructed.
Lesson Plan
Curated OER

Hospital Locator

For Teachers 7th - 9th
Pupils apply properties of triangles to the real world. In this geometry lesson, students identify the median and angle bisectors of triangles. They plan the appropriate are to place a new medical center based on their knowledge of...
Lesson Plan
Curated OER

Incenter of a Triangle

For Teachers 10th
Tenth graders find the incenter of a triangle. In this geometry lesson, 10th graders define the way to create an incenter with an angle bisector. They differentiate between incenter and incircle.
Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles

For Teachers 9th - 10th
Students identify similar and congruent right triangles. In this geometry activity, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
Lesson Plan
Curated OER

IGD: Perpendicular Bisector

For Teachers 9th - 12th
Learners draw perpendicular bisectors.  In this perpendicular bisectors lesson, students identify the perpendicular bisector in a polygon.  They use web tools to create and measure perpendicular bisectors.  Learners...
Lesson Plan
Curated OER

Pedal Triangles

For Teachers 8th - 10th
Students identify the properties and theorems of triangles. In this geometry lesson, students construct angle bisectors using a compass and straight edge. They identify triangular similarity and congruency.