Download Midterm Review Geometry Part 2

Midterm Review Geometry Part 2
1. Give the property of equality that states that segment PQ = segment PQ.
2. Name the ray that is opposite Ray CD:
3. Find the area of the circle:
4. Write a conditional statement that has the same truth value as its converse.
5. Write two conditional statements that make up the following biconditional:
John buys pizza on Friday if and only if his children do their chores all week.
6. Use the law of detachment to draw a conclusion from the two following
statements: 1. If y = 7, then 3y = 21
2. y = 7
7. Use the law of syllogism to draw a conclusion from the two statements:
If a number is a factor of 4, then it is a factor of 16
If a number is a factor of 16, then it is a factor of 32
8. Given: 15x-3y = -15 ; x=4
Prove : y = 25
9. If angle A and angle B are complementary and the measure of angle A is twice
the measure of angle B, find both angle measures.
10. Justify if possible by a theorem that there is a pair of parallel lines in this diagram
if angles 1 and 2 add up to 180 degrees:
11. A triangle has angles whose measure are in a ratio of 9 : 3 : 8 What is the
measure of the largest angle ?
12. Find the measure of one interior angle of a regular pentagon.
13. Are the two lines parallel?
y = 3x -7
and 6y-18x = 4
14. Write an equation in point slope form for the line perpendicular to y = 3x + 4 that
passes through point (- 4, 8)
15. Find the value of x y and z:
16. Write an equation in slope intercept form of a line that passes through point
(-5, 10) and has a slope of 4.
17. Complete a two column proof that triangle DAC is congruent to triangle ABC:
Given: AC bisects angles DAB and DCB
18. A, B and C are the vertices of a triangle. X, Y and Z are vertices of another
triangle. The measures of all these angles is as follows: A=60, B=80, Y=60,
Z =40. Side AB is 4 units, Side XY is 4 units. Are the two triangles congruent?
Provide the correct reason.
19. What else do you need to prove that the two triangles are congruent by the HL
Theorem if segment BD and AE are perpendicular?
20. Which overlapping triangles are congruent by ASA if
BC and CD are both 5cm?
21. Find side AC in the following diagram if EC = 60 and DF = 46:
22. Write a contrapositive of the information in the venn diagram: