To show: that two triangles are congruent if their corresponding sides are congruent.
Answer to Problem 32E
8 right angles.
Explanation of Solution
Given information:
In spherical geometry, all points are points on the surface of a sphere . A line is a circle on the sphere whose diameter is equal to the diameter of the sphere.
Formula used:
The Hypotenuse-Leg Congruence Theorem
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle , then the two triangles are congruent.
Calculation:
According to the question,
A line forms a circle in spherical geometry. The two line that are perpendicular to each other will meet at two points in the sphere. The intersection will form 4 right angles.
Therefore, there are 8 right angles.
Chapter 12 Solutions
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