1. Geometry/Trig 2 Name: __________________________
Unit 5 Practice Test Date: _______________ Block: ______
I – Fill in the blank. Information does not carry over from problem to problem.
1. GEOM is a rectangle.
2. MATH is a rhombus. M A E O Q T
a. mÐMQA = ______.
b. If HQ = 9, then QA = _______.
c. If mÐHMQ = 50, then mÐQMA = _______.
d. If mÐMHQ = 35, then mÐHMA = _______. G M H T
If GO = 22, then ET = _______.
b. mÐEGM = _______.
c. If mÐGET = 60, then mÐTOE = ______.
d. Classify DGET by sides. ___________________
3. WEST is a square.
4. TRAP is a trapezoid; XY is the median. W E T R A P X Y
mÐTWS = ______.
b. mÐWPT = ______.
c. If TE = 29, then WS = ______.
*BONUS: If WP = 4, then WE = ______. P
a. If AP = RT then it is a(n) _____________ trapezoid.
b. If PT = 14 and AR = 7, then XY = ______.
c. If PX = 7, then PA = ______.
If AR = 3z – 4, XY = 2z and PT = 9z – 12, then z = ______. T S
II – Complete each statement with the word always, sometimes, or never. (Write the answer on the line to the left of the number).
________________________ 5) A parallelogram is ___ a quadrilateral.
________________________ 6) A square is ___ a rhombus.
________________________ 7) A rhombus with no right angles ___ has congruent diagonals.
________________________ 8) A square is ___ a rectangle.
________________________ 9) A trapezoid ___ has 4 congruent sides.
________________________ 10) A rectangle ___ has supplementary consecutive angles.

2. Geometry/Trig 2 Unit 5 Practice Test – Quadrilaterals & Proofs Page 3
III. For each parallelogram, circle the best name (rhombus, rectangle or square) for each shape and solve for the missing measurements. x
11) y
12) y
85 x z
20 z
Rhombus Rectangle Square
Rhombus Rectangle Square
x = ____ z = ____
y = ____
x = ____ z = ____
y = ____
13)
AC = 16, BD = 16
14) B A B y
45 x y C A x
45 D C D
Rhombus Rectangle Square
Rhombus Rectangle Square
x = ____
y = ____
x = _____ y = _____
mABC = _____
IV. Decide if each quadrilateral is a parallelogram. Explain.
15)
YES NO ____________________________________
16)
YES NO ____________________________________
17)
YES NO ____________________________________
18)
YES NO ____________________________________

3. Information does not carry over from problem to problem.
Geometry/Trig 2 Unit 5 Practice Test – Quadrilaterals & Proofs Page 4
V. Answer the below questions. SHOW ALL WORK.
19) Solve for the variables. “Guess and check” will not suffice, you must solve algebraically! 9 14
6x – 5y
2x + 3y
x = ________
y = ________
20) A, B, and C are midpoints of the sides of ΔXYZ. Answer the questions.
If AB = 7, BC = 12 and AC = 10, find
XY = _____, YZ = ______ and ZX = ______
If BC = 6, AC = 2.5 and YZ = 10, find
AB = _____, XY = ______ and ZX = ______
c) If mXAB = 100, then mAYC = _______.
Explain why: _________________________
_________________________
d) If mABZ = 100, then mZ = _______. X A Y C B Z
Information does not carry over from problem to problem.
21) ABCD is an isosceles trapezoid. Solve for x, y, the angle measurements and side lengths.
x = _____
mA = _____
mB = _____
mC = _____
mD = _____ A B
(9x + 1)°
y² - 3y 10
(2x + 14)°
y = _______
AD = ______ D C

4. 22) Complete the proof. Please number your steps! D 1 2 C 4 3
Statements
Reasons
22) Complete the proof. Please number your steps!
Given: ABCD is a parallelogram
Prove: ΔABC  ΔCDA
23.) A quadrilateral is a parallelogram if…
Review properties of parallelograms, rectangles, rhombi and squares! Review properties of isosceles trapezoids and medians.