Integrated Algebra 1 Midterm Review
Name:_____________________________
1. What is the distance between the points (4, -3) and (-2, -2).
2. The distance between the two points (4, 2) and (2, b) is 5 . Find a possible value of b.
3. The distance between the two points (b, 5) and (4, 6) is 10 . Find a possible value of b.
4. Find the midpoint of AB if A has coordinates (-5, 2) and B has coordinates of (-4, 4).
5. An Isosceles triangle has vertices of (0, 0) and (c, 0). Find the coordinates of the 3rd vertex.
6. A rectangle has vertices at (0, 0), (0, c), and (c, d). Find the coordinates of the 4th vertex.
7. Which theorem is used to create the distance formula?
8. Give a counterexample to “All teachers are male.”
9. Write the inverse for: “If x = 2 then x2 = 4.”
10. Write the converse for: “If the polygon has three sides, then the polygon is a triangle.”
Make a conclusion (if possible) and state the law of logic used.
11. If Jim goes to school, then he will play in the soccer game.
If Jim plays in the soccer game, then his parents will come watch him play.
12. If Bill goes to work, then he will wait tables.
Bill waits tables.
13. If the convex polygon has four sides, then it is a quadrilateral.
If the convex polygon has four congruent sides, then it is either a square or a rhombus.
14. If the Jets play the Lions, then the Jets will win.
The Jets played the Lions.
15. What is the first step in an indirect proof of the statement, “If x = 2, then x2 = 4.”
16. What are the possible lengths, x, of a third side of a triangle with side lengths 6cm and 10 cm.
17. Can 4, 7, and 6 represent the lengths of the sides of a triangle? Explain
18. The incenter of a triangle is found by constructing the _________________________.
19. The orthocenter of a triangle is found by constructing the _______________________
20. The centroid of a triangle is found by constructing the _________________________
21. The circumcerter of a triangle is found by constructing the _____________________
22. What are the five different theorems used to prove two triangles are congruent?
Decide which theorem will prove the triangles below are congruent.
30
30
12
10
15
4
15
12
4
10
23. In ABC, mDAB = 122° and mABC = 48°. Write the sides of ABC in order from least to
greatest.
B
D
A
C