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Chapter 10: Q4. (page 380)

A parallelogram with perpendicular diagonals is a ____.

Short Answer

Expert verified

Rhombus.

Step by step solution

01

Step 1. Given information.   

The given statement is “A parallelogram with perpendicular diagonals is a¯”.

02

Step 2. Concept used.

A parallelogram has opposite sides parallel and equal.

03

Step 3. Solution.

A parallelogram has opposite sides parallel and equal.

When diagonals are perpendicular, then it becomes rhombus.

Therefore, the blank is filled with term Rhombus.

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Most popular questions from this chapter

Construct an angle having the indicated measure.

150

Exercise 3 suggests that you could construct other angles with certain measures. Name some.

Draw any AB¯.

a. Construct XY¯ 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¯ and YZ¯.

d. What kind of triangle is ΔXYZ?

Use a ruler and a protractor to draw a regular pentagon. Draw a regular pentagon as in before exercise. Construct the perpendicular bisectors.

Draw any large ΔABC 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)?
See all solutions

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