Chapter 7.1, Problem 43PPS

(a)

To determine

To Draw:An isosceles triangle $ABC$ . Measure and label the legs and the vertex angle. Draw the second triangle $MNO$ with a congruent vertex angle and leg twice as long as $ABC$ .Draw a third triangle with the congruent vertex angle and leg half as long as $ABC$ .

Explanation of Solution

Given:Triangle $ABC$ .

  

(b)

To determine

To Complete: The table.

Explanation of Solution

Given:

  

  

(c)

To determine

To Make: A conjecture about the change in perimeters of an isosceles triangle if the vertex angle held constant and length is increased or decreased by scale factor.

Answer to Problem 43PPS

The ratio of the perimeters also remain same as the ratio of the sides of the triangle.

Explanation of Solution

Given:

  

The scale factor of the legs remains the same as the scale factor of the perimeters.

Thus

The ratio of the perimeters also remain same as the ratio of the sides of the triangle.