Geometry Test #2

advertisement
Name: _______________________ Geometry Test #2 Date: _____________
O
P
M
1. Name two interior angles in
_____________
_____________
2. Name two exterior angles in
__________________ ___________________
3. Name two sets of supplementary angles.
______________
_______________
_____________
______________
4. Name two sets of complementary angles
_______________
_______________
______________
______________
5. Carson drew a diagonal inside a quadrilateral and made 2 equilateral triangles. What type of quadrilateral did Carson use
to draw the triangles? ____________________
6. Which quadrilaterals must have perpendicular diagonals? _____________________
7. A triangle has two 50° interior angles, what type of triangle would this be? ________________________
8. A. What is the measure of < zxy ? ________
B. What is the measure of <xzy? _______
C. What is the measure of < zyx? _______
9.
10. 1
11.
.
12. Draw the complement and supplement of the angle below and LABEL them!!!!
13. How many diagonals are in each of the following?
A. Septagon _______________
B. Hexagon _______________
C. Nonagon ______________
14. What is the sum of the measures of the interior angles of a decagon? _____________
15. What is the formula to find the sum of the interior angles of any polygon? __________________________
16. Trey draws an octagon. The sum of the measures of five of the interior angles is 720°.
What is the measure of the other three congruent angles? ____________________ __________________
17. The sum of the interior angles equals 540° in which polygon? ____________________________________________
18. A septagon has two angles that measure 145° and 140°. If the other angles are congruent, what is the measurement
of one of the angles? __________ Explain/Show your work!!
19. If a regular octagon has a perimeter of 400 centimeters, what is the measure of each interior angle and each side?
__________________
__________________
Explain.
20. Name side lengths that could make the following triangles in cm.:
A. equilateral ________________________
B. isosceles ________________________
C. scalene _______________________
21. Two ________________ form an angle.
22. Draw the symbol that represents two lines being perpendicular. ________ and two lines being parallel _______
Next, show lines AB and CD as perpendicular lines intersecting at point E below. Also, show line XY being parallel
to line AB. Use correct symbols!!!
23. Draw and label a non straight and non right angle < XYZ. Place a point in the interior of the angle and name it I
and a point in the exterior and name it E.
Identify the vertex: ___________________
Identify the 2 sides: ___________________
Estimate the measure of the angle you drew above: ___________________
24. How many triangles can an decagon be triangulated into? _____________ What is the sum of an decagon’s angles?
___________ If the decagon was a “REGULAR” decagon, what would the measure of one of it’s angles be? _________
25. How many diagonals extend from each vertex in a hexagon? ______
How many diagonals extend from each vertex in a decagon? _______________
Extra Credit Below:
1. A rhombus has one angle that measures 45°. What are the measures of the remaining angles? ____________
_____________ ___________If its perimeter is 80 yards, what is the length of a side? ___________________
2. The sum of the measures of two adjacent sides and one diagonal in a rhombus equals 24 inches. When will the sum of
the measures of the other sides and the other diagonal be 24 inches? Explain _____________________________________
___________________________________________________________________________________________________
3. An isosceles triangle has a perimeter of 78 cm and one side measures 28 cm. How many different triangles could have a
perimeter of 78cm? __________________________ Give the dimensions of each. _______________________________
__________________________ ________________________ ____________________________________________
4. Rhombus ABCD has a perimeter of 40 inches. The diagonals AC and BD measure 12 inches and 16 inches and intersect
at a point E. What is the perimeter of triangle AED and triangle ABC? _________________________
Download