Download Name: ________________ Geometry Unit 2 Review!

Name: ________________
Geometry
Unit 2 Review!
1. If a figure is a rectangle, then it has 4 sides.
a) Underline the hypothesis twice and the conclusion once.
b) Write the converse of the conditional.
c) Find the truth value of the original and converse.
Original:
Converse:
2. Name the property that justifies the statement.
XY = XY
__________________
3. Use the given property to complete the statement.
Symmetric Property of Equality
If AB = YU, then ___________________.
4. Name the justification for the following statement.
If k = m and k + x = 1, then m + x = 1. _________________
5. Fill in the reason that justifies each step.
Given: C is the midpoint of AD.
C is the midpoint of AD.
a. _______________________________
AC = CD
b. _______________________________
3x + 20 = 5x - 16
c. _______________________________
3x + 36 = 5x
d. _______________________________
36 = 2x
e. _______________________________
18 = x
f. _______________________________
6.
Find the value of x. Then find the measure of all 3 angles.
x = _______
<1 = ______
<2 = ______
<3 = ______
7.
Decide if each statement is true or false.
a. m<8 = 45
b. <7 and <10 are vertical angles.
c. <6 is a right angle.
d. <7 + <8 = 180
e. <9 and <10 are supplementary.
8. Name the property that justifies each statement.
a. If m<G = 35 and m<S = 35, then m<G = m<S.
b. If 10x + 6y = 14 and x = 2y, then 10(2y) + 6y = 14.
c. If JK ≅ LM, then LM ≅ JK.
9. If <Z is 108 degrees, what is the measure of its supplement?
10.
If <W is 12 degrees, what is the measure of its complement?
11. If the complement of <K is 47, then what is the measure of the supplement of <K?
12. Find the measure of <X and <Y described below.
<X and <Y are supplementary. m<X = 2x and m<Y = 5x - 5