Fourth Six Weeks’ Test Review. Find the Geometric mean between 4 and 25. =10.

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Presentation transcript:

Fourth Six Weeks’ Test Review

Find the Geometric mean between 4 and 25. =10

NM=9, MK=4, Find JM. =6

4 25 x = 10 Find x

What equation can be formed? g t m

6 8 x =10 Find x

Find the leg of the right triangle: x =8

20 16 x =12 Find x

12 18 x Find x

15 24 x Find x

15 24 X= 9 12

45 o x =12 Find x

8 8 x

x 10

45 o -45 o -90 o 5 5 5

30 o -60 o -90 o

An equilateral triangle has a side of 12. What is its altitude?

10 x

What kind of triangle has sides 41, 40 and 9? Right

What kind of triangle has sides of 8, 12 and 18? Obtuse

Complete the given Ratio:

Use your Calculator to find…

Set up a correct ratio to find x:

Solve for x:

Fill in the blank….

What term describes only the blue polygons? Convex

Regular What term describes only the blue polygons?

What is the relationship between an interior and exterior angle of a polygon ? Supplementary

For polygons to “fit” around a vertex, the sum of their interior angles must be 360

A regular n-gon has lines of symmetry and rotational of 360/n degrees n

Find the sum of the interior angles of a decagon: 1440

Find the measure of 1 interior angle of a regular 18-gon 160

Find the sum of the exterior angles of a 55-gon 360

Find the measure of one exterior angle of a regular 24-gon 15

The sum of the interior angles of what polygon is 4500? 27-gon

The measure of 1 interior angle of what regular polygon is 170? 36-gon

The measure of 1 exterior angle of what regular polygon is 8? 45-gon

A regular octagon has 8 lines of symmetry and what degree of rotation? 45

The sum of its interior angles is 4 times the sum of its exterior angles. decagon

? What regular polygon is missing Another hexagon

What regular polygon is missing ? Another Octagon

What’s the symmetry of a regular decagon? 10 lines, 36 degr. rotational

Find x (Given a regular octagon) x X = 90 degrees

What 3 regular polygons will tessellate the plane? (name 1)

Equilateral triangles

Squares

Regular Hexagons

Is the Quadrilateral a parallelogram? YES

Is the Quadrilateral a parallelogram? YES

Is the Quadrilateral a parallelogram? NO

Is the Quadrilateral a parallelogram? NO

Is the Quadrilateral a parallelogram? YES

Is the Quadrilateral a parallelogram? YES

Is the Quadrilateral a parallelogram? NO

Is the Quadrilateral a parallelogram? NO

Is the Quadrilateral a parallelogram? YES

Describe the symmetry of an average parallelogram...

- No lines o rotational

Complete the Theorem….

The diagonals of a parallelogram____ ________. BISECT EACH OTHER

Opposite sides of a parallelogram are__________. congruent. (They are also parallel, but that is in the definition, not a theorem.)

If the opposite angles of a quadrilateral are congruent, then__________

…then the quadrilateral is a parallelogram.

Consecutive angles of a parallelogram are ____________. Supplementary.

Always, Sometimes, or Never...

The diagonals of a parallelogram _________ bisect each other. Always

A quadrilateral is __________ a parallelogram, Sometimes

The End