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Name: ________________________ Class: ___________________ Date: __________
ID: A
Review for EOCA - Chapter 7_Geometry
1. Find the sum of the measures of the interior angles
of the given figure.
a.
b.
c.
d.
4. Find the value of x.
a.
b.
c.
d.
900°
1440°
720°
1080°
5. A convex pentagon has exterior angles of 83°, 83°,
26°, and 46°. What is the measure of an exterior
angle at the fifth vertex?
a. 58°
b. 122°
c. 131°
d. 49°
2. The sum of the measures of the interior angles of a
polygon is 1440°. Classify the polygon by the
number of sides.
a. dodecagon
b. 11-gon
c. decagon
d. octagon
3. Find the value of x.
a.
b.
c.
d.
3
27
57
81
47
110
68
112
1
Name: ________________________
ID: A
7. Three vertices of DEFG are
D ÊÁË 2,3 ˆ˜¯ ,E ÊÁË −5,2 ˆ˜¯ ,G ÊÁË 6,6 ˆ˜¯ . Find the coordinates of
6. A parallelogram is formed by the supports that
attach a basketball backboard and rim to the wall.
The angles change as the basketball apparatus is
taken out and put away. Find m∠BCD when
m∠DAB = 32°.
F.
a.
a.
b.
c.
d.
58°
148°
32°
122°
b.
c.
d.
ÊÁ −1,5 ˆ˜
Ë
¯
ÊÁ −1,5 ˆ˜
Ë
¯
ÊÁ −8,5 ˆ˜
Ë
¯
ÊÁ −12,1 ˆ˜
Ë
¯
8. For what values of x and y is quadrilateral ABCD a
parallelogram?
a.
b.
c.
d.
2
x = 12, y = 3
x = 6, y = 12
x = 6, y = 3
x = 74, y = 105
Name: ________________________
ID: A
12. Find AB.
Find the measures of the numbered angles in
rhombus QRST.
9.
m∠1 = 90°, m∠2 = 31°, m∠3 = 31°, m∠4 = 31°
m∠1 = 90°, m∠2 = 31°, m∠3 = 59°, m∠4 = 59°
m∠1 = 118°, m∠2 = 31°, m∠3 = 31°,
m∠4 = 31°
d. m∠1 = 31°, m∠2 = 74.5°, m∠3 = 74.5°,
m∠4 = 74.5°
a.
b.
c.
a.
b.
c.
d.
21.5
11
8
5
13. A scenic overlook which extends over a ravine is
shaped like a kite.
10. Find the lengths of the diagonals of rectangle QRST
when QS = 20x − 5 and RT = 14x + 7 .
a. 35
b. 99.7
c. 70
d. 17.5
11. Find the length of the midsegment of the trapezoid.
Find m∠X .
a. 40°
b. 112°
c. 104°
d. 208°
a.
b.
c.
d.
29
47.5
8
39.5
3
Name: ________________________
ID: A
16. Quadrilateral ABCD is a kite. What conditions
must be true?
a. no parallel sides
b. opposite sides are congruent
c. diagonals are perpendicular
d. 2 pair congruent sides
14. Name the quadrilateral with the most specific name
that will describe it.
17. Show that a quadrilateral with vertices at A ÁÊË 3,−5 ˜ˆ¯ ,
B ÊÁË −2,−3 ˆ˜¯ , C ÊÁË −2,2 ˆ˜¯ , and D ÊÁË 3,4 ˆ˜¯ is a trapezoid.
Then decide whether it is isosceles.
a.
b.
c.
d.
square
parallelogram
isosceles trapezoid
rectangle
15. Decide whether quadrilateral ABCD with vertices
A ÊÁË 0,−1 ˆ˜¯ , B ÊÁË −2,0 ˆ˜¯ , C ÊÁË 0,4 ˆ˜¯ , and D ÊÁË 2,3 ˆ˜¯ is a
rectangle, rhombus, square, or parallelogram.
18. The badge shown is shaped like a regular nonagon.
Find the measure of each interior angle of the
badge. Then find the measure of each exterior
angle.
a.
b.
c.
d.
square
rectangle
parallelogram
rhombus
a.
b.
c.
d.
4
interior: 40°; exterior: 140°
interior: 140°; exterior: 40°
interior: 160°; exterior: 20°
interior: 20°; exterior: 160°
Name: ________________________
ID: A
22.
State which theorem you can use to show that
the quadrilateral is a parallelogram.
19.
a.
b.
c.
d.
Parallelogram Opposite Sides Converse
Parallelogram Opposite Angles Converse
Opposite Sides Parallel and Congruent
Theorem
Parallelogram Diagonals Converse
a.
b.
c.
rhombus
rectangle
square
a.
b.
c.
rhombus
rectangle
square
23.
Classify the special quadrilateral.
20.
24. A school crossing sign is shown. Find the measures
of ∠A and ∠C.
a.
b.
c.
rhombus
rectangle
square
21.
25. For any rectangle EFGH, is it always or sometimes
true that EH ≅ GH ? Explain your reasoning.
a.
b.
c.
rhombus
rectangle
square
26. Find the number of sides a regular polygon must
have so each interior angle measure is 150°. Justify
your answer.
27. Find the number of sides a regular polygon must
have so each interior angle measure is four times
the measure of each exterior angle. Justify your
answer.
5
ID: A
Review for EOCA - Chapter 7_Geometry
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
C
C
A
B
B
C
B
C
B
A
A
D
C
B
B, C
A, C, D
17. The slopes of BC and AD are undefined, so BC Ä AD.
2
2
Slope AB = − and slope CD = , so AB is not parallel to CD.
5
5
18.
19.
20.
21.
22.
23.
24.
25.
26.
AB = 29 and CD = 29 ; So AB = CD and therefore the trapezoid is isosceles.
B
D
B
C
A
B
m∠A = 135°,m∠C = 135°
sometimes; The adjacent sides are congruent only when the rectangle is a square.
12 sides; 150°n = (n − 2)180°
150n = 180n − 360
360 = 30n
12 = n
1
ID: A
27. 10 sides;
(n − 2)180°
360°
= 4⋅
n
n
(n − 2)180 = 1440
180n − 360 = 1440
180n = 1800
n = 10
2