Fourth Quarter Summative.docx

ASUNCION NATIONAL HIGH SCHOOL MATH 8 FOURTH QUARTER PRELIM TEST NAME & SECTION: _________________________________________

SCORE: ___________

1. The sum of the interior angles in a triangle is always _______. a. 180 degrees b. 90 degrees c. 150 degrees d. 60 degrees 2.

a. b. c. d. 3. The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale.

d°

38° g

5 b

f°

e°

4

52°

3

c

a. 4 b. 5 4. Justify the last two steps of the proof. Given: and Prove:

c. 3

d. 38

R

S

T

U

Proof: 1.

1. Given

2.

2. Given

3. 4.

3. 4.

a. Symmetric Property of ; SSS c. Reflexive Property of ; SSS b. Reflexive Property of ; SAS d. Symmetric Property of ; SAS 5. State whether and are congruent. Justify your answer.

7

7

a. yes, by either SSS or SAS b. yes, by SSS only c. yes, by SAS only d. No; there is not enough information to conclude that the triangles are congruent. 6. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA? a. c.

b.

d.

7. Name the theorem or postulate that lets you immediately conclude

|

A D

|

B C

a. SAS b. ASA c. AAS d. none of these 8. What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°? a. 69° b. 84° c. 138° d. 96° For #9-10 Determine whether it is possible to draw a triangle with the sides of given measures. 9. 3cm, 4cm, 5cm a. yes b. no c. cannot be determined 10. 4m, 5m, 9m a. yes b. no c. cannot be determined 11. Determine which three lengths can be the measure of the sides of a triangle. a. 14cm, 3cm, 18cm b. 9cm, 7cm, 15cm c. 2cm, 14cm, 18cm d. 6cm, 9cm, 15cm 12. Determine which three lengths cannot be the measure of the sides of a triangle. a. 2m, 5m, 6m b. 17m, 8m, 10m c. 22m, 20m, 5m d. 15m, 4m, 20m 13. Which three lengths could be the lengths of the sides of a triangle? a. 12 cm, 5 cm, 17 cm c. 9 cm, 22 cm, 11 cm b. 10 cm, 15 cm, 24 cm d. 21 cm, 7 cm, 6 cm 14. Which three lengths can NOT be the lengths of the sides of a triangle? a. 23 m, 17 m, 14 m c. 5 m, 7 m, 8 m b. 11 m, 11 m, 12 m d. 21 m, 6 m, 10 m 15. Triangle Side Angle Inequalities Theorems stated that smaller angles are opposite ________ sides. a. larger b. equal c. shorter d. undetermined

16. The sum of any two lengths of any two sides of a triangle is ________ than the length of the third side. a. less b. equal c. greater d. undetermined 17. If the angles of a triangle are 42°, 73°, and 65°, which of the following would be an exterior angle of the triangle. a. 115° b. 65° c. 86° d. 117° Use the set of parallel lines cut by a transversal below to answer the next 4 questions.

18.

In the figure above, what set of angles are vertical?

a.

&

c.

&

b.

&

d.

&

19. In the figure above, what set of angles are supplementary?

a.

b.

20.

& , they are same-side interior angles &

, they are vertical angles

c.

& angles

, they are alternate interior

d.

& angles

, they are corresponding

In the figure above, what set of angles are corresponding angles?

a.

&

, they are congruent

c.

&

, they are supplementary

b.

&

, they are congruent

d.

&

, they are supplementary

21. a. b.

In the figure above, what set of angles are alternate interior angles? c. & , they are a linear pair & , they are congruent &

, they are congruent

d.

&

, they are a linear pair

22. If a bag contains 100 red cubes, 50 blue cubes, 25 yellow cubes and 25 green cubes, what is the probability of Alicia choosing a blue cube? a) 1 out of 50 b) 25% c) 50 out of 100 d) 1 out of 2 23. If the weather forecast calls for a 60% chance of rain on Saturday, it means that a) It will rain on 60% of the day b) 60 ml of rain will fall that day c) There is a better than half chance that it will rain on that day d) There is only a very small chance that it will rain that day 24. The number of outcomes of rolling three dice is: a. 72 b. 36 c. 216 d. 6 25. Three tosses of a coin will result in the construction of a tree diagram with how many outcomes? a. 1 b. 2 c. 4 d. 8

1. Illustrates the SAS, ASA and SSS congruence postulates 2. Solves corresponding parts of congruent triangles 3. Proves two triangles are congruent 4. Illustrates theorems on triangle inequalities (Exterior Angle Inequality Theorem, Triangle Inequality Theorem, Hinge Theorem).*** 5. Applies theorems on triangle inequalities. 6. Proves inequalities in a triangle. 7. Proves properties of parallel lines cut by a transversal.*** 8. Counts the number of occurrences of an outcome in an experiment: (a) table; (b) tree diagram; (c) systematic listing; and (d) fundamental counting principle.*** 9. s olves problems involving probabilities of simple events.



2



3

 /

4, 5, 6, 7 /  1, 15, 16

8, 9, 10, 11, 12, 13, 14, 16 18, 19, 20, 21

24, 25

22, 23



Creating

Evaluating

Analyzing

Applying

Item

Remembering

Competency

Understanding

ASUNCION NATIONAL HIGH SCHOOL MATH 8 FOURTH QUARTER SUMMATIVE TEST TABLE OF SPECIFICATION