Download Geometry A: Assessment #4 Study Guide

Geometry A – Assessment #4 Study Guide
Name: _______________
Score: ______/38
Use the following figure for Questions 7 – 9.
1. List the properties of a parallelogram.
1.__opposite sides ||__
2.__opposite sides congruent_
3._diagonals bisect each other__
4.__opposite angles congruent__
5.__consecutive angles sup___
6.___diagonals div into congruent
triangles___
2. Beyond the properties of a parallelogram, list the
properties of a rectangle.
1.__4 right angles__
2.__Diagonals congruent_
7. Quadrilateral ABCD is a _parallelogram__.
8. If m∠C = 70, find m∠D. 110
9. If m∠B = 90 in the figure, then quadrilateral
ABCD is a ___rectangle_________.
3. Beyond the properties of a parallelogram, list the
properties of a rhombus.
1.__all prop of kite__
2.__Diagonals bisect op angles__
3. diagonals perp bis of each other
4.__all sides congruent_
5.__diagonals div 4 congruent rt triangles_
10. In rectangle ABCD, m∠DCE = 3 x + 8 and
m∠DEC = 9 x + 14. Find x.
9x+14 + 3x+8+3x+8 =180; x = 10
4. Name all the properties of a kite. Which
shapes also have these properties?
1._2 disjoint pairs of consec sides
congruent_
2._diagonals perpendicular_
3._1 diagonal perp bis of other_
4._1 diagonal bis op pair of angles_
5.__1 pair of op angles congruent_
Rhombus & square
5. Name all the properties of a square. Which
shapes also share these properties?
1.___all prop of rectangle__
2.___all prop of rhombus___
3.4 congruent iso right triangles
Use the figure below for Questions 11 and 12.
11. Quadrilateral ABCD is a ___rhombus_____.
12. In quadrilateral ABCD, m∠ABD = 2 x + 9 and
m∠CBD = 5 x – 27. Find x.
5x-27 = 2x+9; x = 12
6. List the properties of an isosceles trapezoid.
1.__bases ||__
2.__legs congruent__
3.__lower base angles congruent__
4.__upper base angles congruent__
5.___diagonals congruent___
6._lower & upper base angles sup_
13. Given the shape below is a square, find x & y.
2x + 6
20
3y - 12
3y-12=90; y = 34
1
2x+6 = 20; x=7
Rev C
Geometry A – Assessment #4 Study Guide
Name: _______________
14. Given the shape below is a kite, find x and y.
4y – 30 = 90; y = 30
2x-8=x+16; x = 24
15. In trapezoid DEFG, find D and F .
D = 108 and F = 50
16. The bases of a trapezoid are 30 and 40. Find
the length of the median.
½ (30+40) = 35
17. Find x if the bases of a trapezoid have lengths
2x + 4 and 8x-10 and the length of the
median is 3x + 21.
3x+21 = ½ (2x+4+8x-10)
X = 12
2
Rev C
Score: ______/38