Illustrative Mathematics
Bank Shot
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
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Proving Triangles Congruent
In this proving triangles congruent worksheet, 10th graders solve 5 different problems that include proofs and proving congruence in triangles. First, they determine which postulate can be used to prove the triangles congruent and mark...
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Right Triangles
In this right triangles worksheet, 10th graders solve 6 various problems and figures related to right triangles. First they identify and describe the 3 theorems and 1 postulate stated that prove 2 right triangles congruent if one of them...
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Congruence of Triangles
In this congruence of triangles worksheet, 10th graders solve and complete 10 different problems that include measuring the congruence of various triangles. First, they determine the length of a third side of an isosceles triangle. Then,...
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Quiz: Geometric Constructions-Congruence
In this congruent figures worksheet, students answer ten true or false questions. A sample question reads: "Two triangles are congruent when their shape and size will be the same."
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Congruent and Similar Figures: Reteach
In this congruent and similar figures instructional activity, students review three steps to help them determine if figures are congruent, similar, or neither. Students then study the pairs of shapes and determine if they are congruent,...
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Isosceles Triangle Theorems
In this isosceles triangle worksheet, students use theorems to determine if given triangles are congruent or not congruent. In addition, they identify the described triangles as isosceles or right. This one-page worksheet contains ten...
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Classifying Triangles
In this classifying triangles worksheet, 10th graders solve 6 different problems related to the classification of triangles either by their angles or by their sides. First, they use a protractor and a ruler to draw triangles using the...
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Similarity and Congruence
High schoolers explore the concept of similarity and congruence. In this similarity and congruence lesson, students cut out strips of paper and form a triangle. High schoolers try to prove that their triangles are congruent using the SSS...
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Equilateral Triangles
Students examine the attribute of equilateral triangles. In this equilateral triangle lesson, students examine a number of paper triangles to determine how they are classified. They determine how triangles are depicted in Navajo rugs.
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Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry
High schoolers are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the...
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Identifying Similar Triangles
In this identifying similar triangles worksheet, 10th graders solve 6 different types of problem that include identifying and comparing similar triangles. First, they identify the three ways that determine whether two triangles are...
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Proving Triangles Congruent
Students examine Triangle Congruency. In this measurement comparison lesson, students use inductive, deductive and analytical thinking skills to prove triangle congruency. Students analyze and record their findings on activity worksheets.
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Classifying Triangles
For this classifying triangles worksheet, 10th graders solve 9 various problems that classify triangles into categories. First, they refer to the figure shown of an isosceles triangle with two line parallel. Then, students name the...
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Constructions of Isosceles and Equilateral Triangles
Learners explore the difference between drawing and constructing a triangle utilizing The Geometer's Sketchpad on the computer. They create, develop and script constructions for both isosceles and equilateral triangles. Each student has...
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Parts of Similar Triangles
In this parts of similar triangles learning exercise, 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...
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Congruent Figures
In this congruent figures worksheet, students write the letters of the figures that solve each of 6 problems relating to congruency/non-congruency
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Congruence: Practice
In this congruence worksheet, learners trace figures, measure sides and angles, mark congruent sides and angles, then use a given diagram to answer questions and explain reasoning. Students also answer 2 test prep questions. Houghton...
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Geometry of Triangles - Week 6
In this geometry of triangles worksheet, students find the length of sides, are, and angle measurement of inscribed triangles, pentagons, and midpoint of a line. This two-page worksheet contains seven problems.
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The Isosceles Triangle Problem
In this geometry activity, 10th graders solve a problem involving an isosceles triangle. The problem appears to be deceptively easy, but instead requires the use of trigonometry to arrive at a correct solution. The one page activity...
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Similar Triangles
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
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Identifying Similar Triangles
In this identifying similar triangles worksheet, 10th graders solve 5 different proofs related to similar triangles. First, they identify the similar triangles in each figure and explain why they are similar, using the information to...
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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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Triangles in Architecture
Learners find triangles in the real world. In this geometry lesson, students analyze and identify properties of two and three-dimensional objects. They differentiate between similarity and congruence.
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