Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Chapter 5: Q30 (page 188)
Given: Rectangle ; ;
Prove: is isosceles.
Short Answer
is isosceles.
Step by step solution
Step 1. State the concept used.
Diagonals of rectangles are equal and bisect each other.
The opposite sides of a parallelogram are equal.
Step 2. State the proof.
Construct a rectangle and parallelogram .
Now join to form triangle .
It is to prove that is isosceles which can be proved by showing any two sides of the triangle are of equal length.
In rectangle , and are the diagonals of the rectangle.
As the diagonals of the rectangle are of equal length, it can be said that .
Now in the parallelogram , and are parallel sides of the parallelogram, and thus .
Therefore, .
Thus, in , two sides are equal , so we can say that is an isosceles triangle.
Step 3. State the conclusion.
Therefore, is isosceles (proved).
Over 30 million students worldwide already upgrade their learning with 91影视!
