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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

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 $\underline{}$ ”.

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

a. Draw an acute triangle. Construct the perpendicular bisector of each side.

b. Do the perpendicular bisectors intersect in one point?

c. Repeat pairs (a) and (b) using an obtuse triangle.

Given, $Δ J K M$

Explain how to construct a triangle that is congruent to $Δ J K M$ .

Draw any obtuse $Δ O B T$ . Use the $S S S$ method to construct a triangle congruent to $Δ O B T$ .

Draw any $\bar{A B}$ .

$(a) .$ Construct $\bar{X Y}$ so that $X Y = A B$ .

$(b) .$ Using $X$ and $Y$ as centers, and a radius equal to $A B,$ draw arcs that intersect. Label the point of intersection $Z$ .

$(c) .$ Draw $\bar{X Z}$ and $\bar{Y Z}$ .

$(d) .$ What kind of triangle is $Δ X Y Z ?$

Refer to the diagram in which the medians of a triangle are shown.

If $P B = 1.9,$ then $A B = ?, A P = ?$ .

See all solutions

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