First Term Final: Chapters 1-7 Study Guide

First Term Final: Chapters 1-7 Study Guide

1. AS = 2x - 1, SB = 3x + 5, AB = 19


/ 1.
x = ______

AS = ______

SB = ______
2.

/ 2.
x = ______

___

= __
3. Solve for x. 4. Solve for y. Then find the
measure of and
/ 3.

x = ______
4.
y = ______



Name the property that justifies the statement.

5. 8.
6. FD + DC = FC 9.
7. 10. If D is the midpoint of FC,
Then CD = ½ CF /
5. ______

6. ______

7. ______

8. ______

9. ______

10. ______
Classify the triangles based on the sides and angles.
/ 11.
x =______

12.
13)
/
14)

15)

16 ) k = _____

17) The interior angles of a triangle are listed.

Draw a picture and find the value of x. What type of triangle is this??

18) In DMLN , A is the midpoint of LM, B is the midpoint of LN, MN = 3x + 2 and AB = 2x – 5. Find AB.

19. DABC is a parallelogram., and . What re the values of x and y?

20. State whether each statement is True or False. Write the (a) contrapositive (b) inverse, and (c) converse. Then state whether each created statement is True or False.

If a triangle has 3 unequal sides, then it is a scalene triangle. T or F

a)______T or F

b)______T or F

c)______T or F

Determine whether the numbers could represent the sides of a triangle. Yes or No

21. 3, 5, 7 ______22. 21, 17, 3 ______23. 6, 6, 10 ______

The lengths of two sides of a triangle are given. The length of the third side must be greater than ______, but less than ______.

24. 6, 13… The third side must be greater than ______, but less than ______.

25. If the diagram was drawn to scale, which segment would be the longest?

26. If the diagram was drawn to scale, which angle would be the largest?

What is the first sentence of an indirect proof of the statement shown?

27. If AB = BC, then DE = EF. 28. If , then .

29. The figures below are similar. Solve for x, y and z.

Solve for x:

30.
/ 31.
/ 32.

33. Solve for x, y, and z. l ll m and a ll b.