EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
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Altitude, Median, and Angle Bisector of a Triangle
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.
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Altitude to the Hypotenuse
Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...
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Medians and Altitudes of Triangles
In this geometry worksheet, 10th graders determine if a given segment is a median or altitude of a triangle and use then find the indicated missing length or equation of a line. The two page worksheet contains twenty problems. Answers...
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Special Segments in a Triangle
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 segment. The...
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Special Segments in Triangles
Students identify important properties of triangles. In this geometry lesson, students differentiate between medians, bisectors and altitudes in a triangle. They identify the properties of these important segments.
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
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Special Segments in Triangles
For this special segments in triangles worksheet, 10th graders solve 5 different types of triangles. First, they identify and describe the four types of segments associated with triangles. Then, students draw and label a figure that...
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Lesson 5.3 Vocabulary Quiz: Concurrent Lines, Medians, & Altitudes
In this vocabulary activity, students match a given vocabulary word to the correct definition. Words include such terms as altitude, centroid, circumcenter, circumscribed circle, inscribed circle, median and orthocenter. This one-page...
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Special Segments in Triangles
In this special segments in triangles worksheet, 10th graders solve 6 various types of problems related to determining types of segments found in triangles. First, they find a segment if the line parallel is a median or an altitude....
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Triangles
In this triangles instructional activity, 10th graders solve and complete 2 different problems. First, they find the perimeter of each triangle as described. Then, students find the slope of each side and altitude to each side of the...
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Special Right Triangles
In this special right triangles activity, 10th graders solve 9 different problems related to measuring various types of right triangles. First, they find the values of x and y in each right triangle shown. Then, students find the length...
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Parts of Similar Triangles
In this parts of similar triangles worksheet, 10th graders solve 6 different problems related to determining the value of various parts of similar triangles. First, they find the value of x in the 2 figures shown. Then, students find the...
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Right Triangles
In this right triangles worksheet, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
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Triangle Proofs
In this triangle proofs activity, students answer 5 questions about triangles and polygons given certain information. Students then construct 4 triangle or polygon proofs.
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Triangles
In this triangles learning exercise, 10th graders solve and complete 6 different problems. First, they draw a median from a given point and an altitude. Then, students complete each statement using the picture. They also find the line...
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Concurrent Lines in Triangles
Students explore the concept of concurrent lines in triangles. In 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...
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Parts of Similar Triangles
In this parts of similar triangles worksheet, 10th graders solve and complete 15 different statements related to naming the parts found in similar triangles. First, they identify each definition stated that describes an everyday usage of...
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Classifying Triangles
In this classifying triangles learning exercise, 10th graders solve and complete 11 different types of problems. First, they state whether each segment shown is an altitude, median, or neither. Then, students solve for x and find the...
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Right Triangles
For this right triangles worksheet, 10th graders solve and complete 12 different types of problems. First, they solve for a variable given each of the right triangles with the sides as indicated. Then, students determine the shorter...
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Value of Triangles
In this geometry worksheet, students identify the missing sides and angles of triangles. They find the midsegment of each triangle. There are nine questions with an answer key.
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Area of Triangles
In this math learning exercise, students draw two triangles and one pentagon. Then they use the correct formula to calculate the area for each.
Illustrative Mathematics
Same Base and Height, Variation 1
Four triangles are depicted for learners to construct on a geoboard. They compute and compare the areas, and so meet one of the sixth grade Common Core standards for geometry. Note that the set of triangles does not include a right...