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Chapter 10: Q3. (page 380)

A parallelogram with congruent diagonal is a ______.

Short Answer

Expert verified

Rectangle.

Step by step solution

01

Step 1. Given information.   

The given statement is 鈥淎 parallelogram with congruent diagonals is 炉鈥�.

02

Step 2. Concept used.

A parallelogram has two pair of opposite sides parallel and equal.

03

Step 3. Soluton.

A parallelogram has two pair of opposite sides parallel and equal.

When diagonals are equal, then it becomes rectangle.

A rectangle has diagonals equal in length and they bisect each other.

Therefore, the blank is filled with term Rectangle.

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Most popular questions from this chapter

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise 23-25.

An isosceles triangle with a vertex angle of n掳 and base of length s.

Draw any large 螖ABC and construct equilateral triangles on each of the sides as shown.

  1. In each of the three equilateral triangles, construct any two medians and find their point of intersection.
  2. Draw the three segments connecting these three points of intersection.
  3. What appears tobe true about the triangle you drew in part (b)?

Draw any obtuse 螖OBT. Use the SSS method to construct a triangle congruent to 螖OBT.

Draw any AB炉.

a. Construct XY炉 so that XY=AB.

b. Using X and Y as centers, and a radius equal to AB, draw arcs that intersect. Label the point of intersection Z.

c. Draw XZ炉 and YZ炉.

d. What kind of triangle is 螖XYZ?

How to carry out the construction of the circle?
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