A parallelogram has point symmetry about the point where its two diagonals intersect.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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number 21 only
In Exercises 19 to 22, classify each statement as true or false.
In Exercises 19 and 20, recall that the symbol C means
"is a subset of."
Sta
19. Where Q =
QC P. didw
s olans
{quadrilaterals} and P =
{polygons},
1. RS || VT
2. ?
20. Where Q
Q P.
{quadrilaterals} and P =
{parallelograms},
3. ?
21. A parallelogram has point symmetry about the point where
its two diagonals intersect.
4. ?
22. A parallelogram has line symmetry and either diagonal is an
axis of symmetry.
23. In quadrilateral RSTV, the midpoints of consecutive sides
are joined in order. Try drawing other quadrilaterals and
joining their midpoints. What can you conclude about the
resulting quadrilateral in each case?
28. Given:
Prove:
aoitebnuol or lo pos
aloggo moni bonio
bluode
odi lo
Stat
lo o s
1. WX || ZY
24. In quadrilateral ABCD, the midpoints of opposite sides are
joined to form two intersecting segments. Try drawing other
quadrilaterals and joining their opposite midpoints. What
can you conclude about these segments in each case?
2. ?
3. ?
B
4. ?
Unless otherwise noted, all content on this page is © Cengage Learning.
Transcribed Image Text:In Exercises 19 to 22, classify each statement as true or false. In Exercises 19 and 20, recall that the symbol C means "is a subset of." Sta 19. Where Q = QC P. didw s olans {quadrilaterals} and P = {polygons}, 1. RS || VT 2. ? 20. Where Q Q P. {quadrilaterals} and P = {parallelograms}, 3. ? 21. A parallelogram has point symmetry about the point where its two diagonals intersect. 4. ? 22. A parallelogram has line symmetry and either diagonal is an axis of symmetry. 23. In quadrilateral RSTV, the midpoints of consecutive sides are joined in order. Try drawing other quadrilaterals and joining their midpoints. What can you conclude about the resulting quadrilateral in each case? 28. Given: Prove: aoitebnuol or lo pos aloggo moni bonio bluode odi lo Stat lo o s 1. WX || ZY 24. In quadrilateral ABCD, the midpoints of opposite sides are joined to form two intersecting segments. Try drawing other quadrilaterals and joining their opposite midpoints. What can you conclude about these segments in each case? 2. ? 3. ? B 4. ? Unless otherwise noted, all content on this page is © Cengage Learning.
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