Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
2. Section 1.2
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Exercise 53 Page 32

Practice makes perfect
a This is a shape with three vertices, which means it can be classified as a triangle. We also see that two sides have an equal number of hatch marks. This indicates that these sides are equal in length.

This type of triangle is called an isosceles triangle.

b Any shape with five vertices is known as a pentagon. There are markings on its sides indicating that they are of equal length. Its angles are also marked, meaning they are of equal measure.

This type of pentagon is called a regular pentagon.

c From the diagram, we see a quadrilateral where two pairs of sides have been marked as parallel.
This type of a quadrilateral is called a parallelogram.
d Like in Part A, the shape has three vertices which means it is a triangle. Additionally, all sides have a different number of markings. This tells us they all have different lengths.

Such a triangle is called a scalene triangle.

e Like in Parts A and D, we have a shape with three vertices which means it is a triangle. Additionally, we see that one angle is right and two sides have equal length.

Such as triangle is called a right isosceles triangle.

f The shape has four sides, which means it is a quadrilateral. It also has two sides that are parallel, as indicated by the markings.

A quadrilateral with one pair of parallel sides is called a trapezoid.