The document contains a fill-in-the-blank quiz with multiple choice and true/false questions about geometry concepts such as triangle congruency rules, area of trapezoids, ratios of sides in 30-60-90 triangles, ratios of volumes and surface areas of similar prisms, properties of perpendicular bisectors, triangle inequality, properties of kites and parallelograms, interior angles of polygons, properties of circles and sectors, density, parallel lines, and trigonometric functions. The document provides the questions along with the answers and explanations.

2. Fill-in-the-
blank
Missing
Angles
Multiple
Choice
True/False
2 222
4 444
6 666
8 888
10 101010
Final Question

3. AAA and ASA are two shortcuts
for showing that two triangles
are congruent.

4. False – AAA is not a congruency
shortcut.. It’s roadside assistance

5. The area of a trapezoid is equal to
the product of the height and the
length of the midsegment.

6. True – the midsegment of a
trapezoid is the average of the
bases or
1
2
𝑏1 + 𝑏2 .

7. In a 30°-60°-90° triangle, the side
opposite the angle with measure 60°
is half the length of the hypotenuse.

8. False – The side opposite the 30
degree angle is half of the
hypotenuse. The side opposite the
60 degree angle is the shortest side
times the square root of 3.

9. If the corresponding surface
areas of two similar prisms
are in the ratio 16 to 49, then
their volumes are in the ratio
163
to 493
.

10. 𝐅𝐚𝐥𝐬𝐞
− 𝐓𝐡𝐞 𝐠𝐢𝐯𝐞𝐧 𝐫𝐚𝐭𝐢𝐨 𝐢𝐬 𝐨𝐟 𝐭𝐡𝐞 𝐬𝐮𝐟𝐚𝐜𝐞
𝐚𝐫𝐞𝐚𝐬. 𝐓𝐡𝐞 𝐜𝐨𝐫𝐫𝐞𝐜𝐭 𝐫𝐚𝐭𝐢𝐨 𝐨𝐟 𝐭𝐡𝐞
v𝐨𝐥𝐮𝐦𝐞 𝐰𝐨𝐮𝐥𝐝 𝐛𝐞
4
7
3

12. 𝑻𝒓𝒖𝒆 − 𝑻𝒉𝒆 𝒆𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒖𝒔𝒆 𝒕𝒐 𝒓𝒆𝒑𝒓𝒆𝒔𝒆𝒏𝒕 𝒕𝒉𝒊𝒔
𝒑𝒂𝒕𝒕𝒆𝒓𝒏 𝒊𝒔 ∶
𝒏(𝒏 − 𝟑)
𝟐

13. If a point is on the perpendicular
bisector of a segment, then it is
__________ from the endpoints.

14. If a point is on the
perpendicular bisector of a
segment, then it is equidistant
from the endpoints.

15. The sum of the lengths of any
two sides of a triangle is ____
than the length of the third
side.

16. The sum of the lengths of any
two sides of a triangle is greater
than the length of the third side.

17. The vertex angles of a ______
are bisected by a diagonal.

18. The vertex angles of a kite are
bisected by a diagonal.

19. The consecutive angels of a
parallelogram are ___________.

20. The consecutive angels of a parallelogram
are supplementary.

21. Two congruent chords in a circle are
________ from the center of the circle.

22. Two congruent chords in a circle are
equidistant from the center of the circle.

23. The sum of the measures of the
interior angles of a decagon is
A. 540° B. 720° C. 900°
D. 1220° E. 1440°

24. °

25. A sector of a circle has a central angle
measuring 80°. If the area of the
sector is 32𝜋 𝑚2
, what is the radius
of the circle?
A. 6 m B. 62 m C. 9 m
D. 12 m E. 1442 m

26. D or 12m – Solve the following
for r : 2𝜋𝑟
80
360
= 32𝜋

27. A scientist finds a clump of mysterious metal on
his laboratory floor. He weighs it and finds that it
has a mass of 702.8 grams. He then drops it into
a cylindrical container, causing the water level to
rise 2.2 cm. The radius of the base of the
container is 3.0 cm. What is the density?
A. 10.5 B. 11.3 C. 21.4 D. 19.3 E. None of these

28. B or 11.3 – density = mass/volume. To calculate
volume do the following:
𝑉 = 𝑟2 𝜋(𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡 ℎ𝑒𝑖𝑔ℎ𝑡)

29. 𝐷𝐸 ∥ 𝐴𝐵. BE = ___
A. 22 cm B. 25.3cm
C. 57 cm D. 76cm
E. None of these

30. B or 25.3 - When the triangle was cut by
a line parallel to the third side the side
segments are proportional. So you could
solve the problem by setting up the follow
proportion:
12
18
=
𝑥
38

31. Which of the following expressions
represents the value of x?
A.
18
sin 21°
B.
18
cos 21°
C.
18
tan 21°
D. 18 tan 21° E. 18 sin 21°

32. A or
18
sin 21°