<p>Line Symmetry / Reflection Symmetry Review Questions</p><p>Draw a square and draw all lines of symmetry on this 2-d shape.</p><p>What kinds of lines of symmetry does the square have?</p><p>Now draw a triangle that has all interior angles the same size and all sides the same size.</p><p>What kinds of lines of symmetry does this special triangle have?</p><p>Which of these terms may confuse children?</p><p>What is the name of this special triangle? 3 lines of symmetry are shown below for the triangle The lines are referred to as l, m, and n.</p><p>2 colors are added here to show half the triangle folds onto the other colored half. Assume the original interior was white in color.</p><p>The red half folds onto the orange half so that both halves match. This makes m a line of symmetry.</p><p>What kind of line symmetry is this?</p><p> l</p><p> m n</p><p>Do all triangles have 3 lines of symmetry? If not, draw ones with 0, 1, 2, and 4 lines of symmetry. (if possible) Use drawing and the Mira or paper folding and cutting to study the lines of symmetry of famous quadrilaterals.</p><p>Some Famous quadrilaterals - 4-sided polygons a) Described related to number of parallel sides</p><p>Trapezoid</p><p>Right trapezoid</p><p>Isosceles trapezoid</p><p>Parallelogram b) Described related to all angles being congruent</p><p>? c) Described related to all sides being congruent</p><p>? d) Described related to both b and c being true</p><p>? Make a Venn diagram showing the relationship of all trapezoids, parallelograms, and rectangles in the universe of quadrilaterals.</p><p>Angle and Regular Polygon Review</p><p>A popular measurement unit is the degree. There are 360 degrees in a circle (full turn).</p><p>There are half as many degrees in a half circle. So 180 degrees in a straight angle.</p><p>A quarter circle has one-fourth the degrees of a full circle. Such a 90 degree angle is called a right angle.</p><p>It is often shown with a small square corner near the vertex of a right angle. Angles that are less than 90 degrees are called _?_angles. Draw such an angle:</p><p>Angles that are greater than 90 degrees are called _? _angles. Some curricula also define __?__ angles as larger than 180 degrees.</p><p>Between 90 and 180 Greater than 180 Polygon Terms Review</p><p>Polygons: simple closed 2-d shapes made up of straight line segments for sides.</p><p>Famous Triangles 3-sided polygons</p><p> named for kinds of angles acute triangles right triangles obtuse triangles</p><p> named for possible congruent side lengths scalene triangle – no sides are congruent isosceles triangle - 2 sides are congruent equilateral triangle – all 3 sides are congurent These may be combined for more detailed descriptions. Draw an obtuse isosceles triangle.</p><p>Regular Polygons</p><p>A regular polygon is a polygon where all the interior angles are congruent (same measurement) and all the sides are congruent. </p><p>Regular triangle: Draw a regular 2d shape</p><p>An equiangular polygon is a polygon where all the interior angles are congruent (same measurement).</p><p>An equilateral polygon is a polygon where all the sides are congruent (same length measurement).</p><p>Sketch examples to help you decide which of these are true statements. (may want to focus on quadrilaterals and triangles first)</p><p>1. A regular polygon is equilateral or equiangular. 2. A regular polygon is equilateral and equiangular. 3. All equilateral polygons are regular polygons. 4. All equiangular polygons are regular polygons. 5. All equilateral polygons are equiangular polygons.</p><p>Draw a Venn diagram showing the relationship of regular polygons, equiangular polygons, and equilateral polygons. Use the universe of all polygons.</p><p>Next draw an example sketch of a polygon that would go into each region of the Venn diagram.</p>