Exploring Congruent Triangles
... If we wanted to duplicate this triangle, would we have to provide all the measurements? ...
... If we wanted to duplicate this triangle, would we have to provide all the measurements? ...
Lesson 1 - Classifying Triangles
... at the right has bracings help to secure the building in the even of high winds or an earthquake. Use a protractor to classify ABC, BCD, and BCE as acute, equiangular, obtuse, or right. Triangle ABC has all three angles equal so it is an equiangular triangle, and since all the angles are acute, i ...
... at the right has bracings help to secure the building in the even of high winds or an earthquake. Use a protractor to classify ABC, BCD, and BCE as acute, equiangular, obtuse, or right. Triangle ABC has all three angles equal so it is an equiangular triangle, and since all the angles are acute, i ...
Challenge - lilliepad
... No polygon can have an angle measure greater than 180°, so a combination of polygons must make up 220°. A triangle has 60° angles, so that leaves 160°. The formula for interior angle measure of a regular polygon shows that an 18-gon has 160° angles. This tiling works, but there could be more. A squa ...
... No polygon can have an angle measure greater than 180°, so a combination of polygons must make up 220°. A triangle has 60° angles, so that leaves 160°. The formula for interior angle measure of a regular polygon shows that an 18-gon has 160° angles. This tiling works, but there could be more. A squa ...
It takes a thief: Lifted Lesson Jennifer Edwards
... is more abstract. Since we spent a short amount of time looking at factoring before, let’s try an alternate way of looking at it. First, using either Algebra Tiles or graph paper or the Edy tiles attached, familiarize yourself with each shape and it’s area. For the graph paper, first draw, color and ...
... is more abstract. Since we spent a short amount of time looking at factoring before, let’s try an alternate way of looking at it. First, using either Algebra Tiles or graph paper or the Edy tiles attached, familiarize yourself with each shape and it’s area. For the graph paper, first draw, color and ...
Similar Triangles
... Give the measurements of 3 sides of a triangle as 5 cm, 8 cm and 10 cm, construct a triangle, if you use the same scale factor on all the sides and construct another triangle prove they similar (def) Given 2 sides and the included angle, 6 cm 9 cm and 65 degrees, construct a triangle, keeping the an ...
... Give the measurements of 3 sides of a triangle as 5 cm, 8 cm and 10 cm, construct a triangle, if you use the same scale factor on all the sides and construct another triangle prove they similar (def) Given 2 sides and the included angle, 6 cm 9 cm and 65 degrees, construct a triangle, keeping the an ...
Triangle Similarity: AA, SSS, SAS
... Fill in the blanks to complete each theorem. 1. If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides ____________________. 2. If three or more parallel lines intersect two transversals, then they divide the ____________________ proportionally. 3. An ...
... Fill in the blanks to complete each theorem. 1. If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides ____________________. 2. If three or more parallel lines intersect two transversals, then they divide the ____________________ proportionally. 3. An ...
Penrose tiling
A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right. A Penrose tiling has many remarkable properties, most notably:It is non-periodic, which means that it lacks any translational symmetry. It is self-similar, so the same patterns occur at larger and larger scales. Thus, the tiling can be obtained through ""inflation"" (or ""deflation"") and any finite patch from the tiling occurs infinitely many times.It is a quasicrystal: implemented as a physical structure a Penrose tiling will produce Bragg diffraction and its diffractogram reveals both the fivefold symmetry and the underlying long range order.Various methods to construct Penrose tilings have been discovered, including matching rules, substitutions or subdivision rules, cut and project schemes and coverings.