1-15. The shapes at right are examples of equilateral triangles. How can you describe an equilateral triangle? Examine them and make at least two statements that seem true for all equilateral triangles. Then draw one more equilateral triangle in a different orientation. A Examples of Equilateral Triangles

1-15. The shapes at right are examples of equilateral triangles. How can you describe an equilateral triangle? Examine them and make at least two statements that seem true for all equilateral triangles. Then draw one more equilateral triangle in a different orientation. A Examples of Equilateral Triangles

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 3E: Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the...

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Similar questions

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
With reference 1, name the sides of each of the following triangles as opposite, adjacent, or hypotenuse.
Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.
HA hypotenuse-angle is also a valid method for proving that two right triangles are congruent a Given that AD and ABDE in the right triangles shown, can HA be used to verify that ABCDEF? b Name another method SSS, SAS. etc. that can be used to verify that these triangles are congruent.
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?
Plans call for triangle BCDto be sheared off a corner of a rectangle as shown in the figure. A decision is made to move one vertex of the triangle 1.5 in. from B to B' and the other vertex from D to D'. How much larger is the area of AB' D' than ABDEF ?
a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?