1 Chapter 7 Study Guide Name: 1. Name the properties
Chapter 7 Study Guide
Name: ____________________
1. Name the properties of a parallelogram.
2. Name the properties of a rhombus.
3. Name the properties of a rectangle.
4. Name the properties of a square.
5. Name the properties of an isosceles trapezoid.
6. Name the properties of a kite.
1
7. Find the measure of the (a) SUM of the interior, (b), SUM of the exterior, (c) 1 interior angle of the regular polygon, and (d) 1 exterior angle of the regular polygon for the following polygons:
Dodecagon
Heptagon
a.
a.
b.
b.
c.
c.
d.
d.
8. Find the number of sides of the regular polygon if one of the interior angles is 1620?
9. Find the indicated measure in parallelogram MNQ. a. LM =
b. m∠LMN =
c. LP =
d. m∠NQL =
e. LQ =
f. m∠MNQ =
g. MQ =
h. m∠LMQ =
10. Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(-2,5), X(2,5), Y(4,0), and Z(0,0).
11. Quadrilateral DEFG is a rhombus, find the measure of the indicated angles. m∠1 = m∠4 = m∠2 = m∠5 = m∠3 = m∠6 =
2
12. Find the lengths of the diagonals of rectangle ABCD when AE = 12x-4 and BD = -18x+13.
13. The diagonals of rectangle QRST intersect at P. Given that m∠PTS = 340 and QS = 10, find the indicated measure. RT = m∠QTR = QP = m∠SRT = RP = m∠QRT =
14. Find the length of the midsegment of the trapezoid with the given vertices. A(2,0), B(8,-4), C(12,2), and D(0,10).
15. What is m∠G?
16. The coordinates of a quadrilateral are A (-3, 5), B (1, 4), C (-1, -4),
y
and D (-5,-3). Use algebra to determine the most precise name of the quadrilateral.
x
3
17.
18. In rhombus ABCD, m∠ADC = x2-11, and m∠CBD = 4x-1. What is the m∠BAD?
***The best way to prepare for this test is to truly UNDERSTAND (not just be able to memorize) the properties of the various quadrilaterals***
4
Name: ____________________
1. Name the properties of a parallelogram.
2. Name the properties of a rhombus.
3. Name the properties of a rectangle.
4. Name the properties of a square.
5. Name the properties of an isosceles trapezoid.
6. Name the properties of a kite.
1
7. Find the measure of the (a) SUM of the interior, (b), SUM of the exterior, (c) 1 interior angle of the regular polygon, and (d) 1 exterior angle of the regular polygon for the following polygons:
Dodecagon
Heptagon
a.
a.
b.
b.
c.
c.
d.
d.
8. Find the number of sides of the regular polygon if one of the interior angles is 1620?
9. Find the indicated measure in parallelogram MNQ. a. LM =
b. m∠LMN =
c. LP =
d. m∠NQL =
e. LQ =
f. m∠MNQ =
g. MQ =
h. m∠LMQ =
10. Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(-2,5), X(2,5), Y(4,0), and Z(0,0).
11. Quadrilateral DEFG is a rhombus, find the measure of the indicated angles. m∠1 = m∠4 = m∠2 = m∠5 = m∠3 = m∠6 =
2
12. Find the lengths of the diagonals of rectangle ABCD when AE = 12x-4 and BD = -18x+13.
13. The diagonals of rectangle QRST intersect at P. Given that m∠PTS = 340 and QS = 10, find the indicated measure. RT = m∠QTR = QP = m∠SRT = RP = m∠QRT =
14. Find the length of the midsegment of the trapezoid with the given vertices. A(2,0), B(8,-4), C(12,2), and D(0,10).
15. What is m∠G?
16. The coordinates of a quadrilateral are A (-3, 5), B (1, 4), C (-1, -4),
y
and D (-5,-3). Use algebra to determine the most precise name of the quadrilateral.
x
3
17.
18. In rhombus ABCD, m∠ADC = x2-11, and m∠CBD = 4x-1. What is the m∠BAD?
***The best way to prepare for this test is to truly UNDERSTAND (not just be able to memorize) the properties of the various quadrilaterals***
4
