Texas Success Initiative

TSI Assessment Sample Questions

Geometry Compiled by Abel Villarreal ACC Mathematics Professor SAC Learning Lab Tutor Summer 2014

Name page 1 of 2

Date TSI Assessment Geometry and Measurement Sample Questions

Answer the following without the use of a calculator. 1. Given two complementary angles, n and (2n + 3). Find the value of n. 2.

3.

40º

Given the figure at right. Find the sum of angles 1, 2, and 3.

∠1 ∠3

∠2

2



€ (a) The figure below has what kind of congruence. 3(a) B A

€ D

C

3(b) AB ≅

E

(b) Match the congruent parts. 4.

1

AC ≅

∠ABC ≅ ∠BAC ≅

BC ≅

∠BCA ≅

Given the line segment AB with € a midpoint at C. € and point D such that BC = BD = 5 cm. A

B

C

4

D

€ How long is AD ?

5.

Given ∆ABC below. The perimeter of ∆ABC is 22 cm€and base AC is 10 cm. What is the length of the altitude BD ? B € € A

40º

40º

D 10 cm

C

5

Name page 2 of 2

Date TSI Assessment Geometry and Measurement Sample Questions

Calculate the area of the following without the use of a calculator. 6. Rectangle with a length of 12 cm, width of 8 cm. 6 Triangle with a height of 6 ft and a base of 8 ft.

7

8.

Circle with a radius of 6 inches.

8

9.

Square with a diagonal of 5 6 inches.

9

10.

White area inside the triangle.

5

6

7.

10 €



10 ft 4 ft 4 ft

11.

Shaded area inside the circle.

2

12.

2 ft

11

10

Volume of€a prism = 504 cm 3 . Find the height. €

h

8 cm 10.5 cm

12

Geometry and Measurement Sample Questions Key 1.

29

2.

420º

3a.

Side-Angle–Side (SAS) AB ≅ DE

3b.

AC ≅ CD BC ≅ EC

4. € 5.



15 cms € 11 or ≈ 3.3cm

6.

96 cm 2

7.

24 ft 2

8. € 113.04 in 2 9. € 75 in 2 10.

2 14 € ft

11.€ ≈ 11.4 units 2 12.€ 6 cm €

∠ABC ≅ ∠DEC ∠BAC ≅ ∠EDC ∠BCA ≅ ∠ECD

TSI Geometry Sample Questions and Answer Key Fall 2014.pdf ...

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