Chapter 4 PRACTICE Test: Congruent Triangles - West Linn

[Pages:2]Name: ___________________ Period: 1 2 3 4 5 6 7 8

Chapter 4 PRACTICE Test: Congruent Triangles

_____ LT 1: I can identify and classify triangles by angles and by sides. _____ LT 2: I can apply the triangle angle-sum theorem and exterior angle theorem. _____ LT 3: I can name and use corresponding parts of congruent triangles. _____ LT 4: I can apply the SSS, SAS, ASA, and AAS postulates to test and prove triangle congruence. _____ LT 5: I can use properties of isosceles and equilateral triangles.

LT 1: I can identify and classify triangles by sides and by angles.

Classify each triangle as acute, equiangular, right, or obtuse: 1. ADB

2. BCD

B 25? 30?

3. ABC

35?

120? 60?

A

C

D

Classify each triangle as equilateral, isosceles, or scalene.

4. ABD

6. EDC

5. ABC

7. BDC

LT 2: I can apply the triangle angle-sum theorem and exterior angle theorem.

Find the measure of each angle AND give a reason for how you know.

8. m1 =

Reason: _________________________

9. m2 =

Reason: _________________________

10. m3 =

Reason: _________________________

75?

35?

1 2

28? 3

LT 3: I can name and use corresponding parts of congruent triangles.

Show that the polygons are congruent by identifying all corresponding congruent parts.

Then write a congruence statement.

11.

12.

 LT 4: I can apply the SSS, SAS, ASA, and AAS postulates to test and prove triangle congruence.

13. Determine whether ABC XYZ. Explain.

A(5, 2), B(1, 5), C(0, 0)

X(?3, 3), Y(?7, 6), Z(?8, 1)

14. Given: KPL is equilateral, , and JPK MPL

Prove: JPK MPL

Statements

Reasons

15. Given: || and . Prove: ABE CDE (paragraph or two-column ? your choice)

LT 5: I can use properties of isosceles and equilateral triangles.

Find the value of each variable.

16.

17.

6x-1

y ?

7x-2

Assume the figure to the right is drawn to scale. Find each measure. Justify your answer. 18. mB =

19. =

20. mC =

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