jeopardy! vocabulary truths about triangles midsegments inequalities relationships in triangles math...

Jeopardy!

VocabularyTruths about

TrianglesMidsegments Inequalities Relationships in

Triangles Math fun!

100 100 100 100 100 100

200 200 200 200 200 200

300 300 300 300 300 300

400 400 400 400 400 400

500 500 500 500 500 500

Vocabulary 100

• A segment whose endpoints are at the vertex of a triangle and the midpoint of the side opposite is a…

Vocabulary 100

MEDIAN

Vocabulary 200

77 47• A perpendicular segment

from a vertex to the line containing the side opposite the vertex is called a(n)…

Vocabulary 200

77 47ALTITUDE

• A point where three lines intersects is called a(n)…

Vocabulary 300

Vocabulary 300

POINT OF CONCURRENCY

Vocabulary 400

• The point of concurrency of the angle bisectors of a triangle is called the…

Vocabulary 400

INCENTER

Vocabulary 500

• The point of concurrency of the altitudes of a triangle is called the…

Vocabulary 500

ORTHOCENTER

Truths about Triangles 100

• The largest angle of a triangle is across from the _________ side.

Truths about Triangles 100

• The largest angle of a triangle is

across from the _________ side.longest

Truths about Triangles 200

• Given points A(1, 3) B(5, 1) and C(4, 4) does point C lie on the perpendicular bisector of segment AB?

Truths about Triangles 200

NO

Truths about Triangles 300

• The vertices of a triangle lie at (0, 4) (0, 0) and (-4, 0). Find the center of a circle that would be circumscribed about this triangle.

Truths about Triangles 300

(-2, 2)

Truths about Triangles 400

• Given A(0,6) B(0,0) and C(5,0), find the coordinate(s) of the endpoint(s) of the midsegment that is parallel to BC.

Truths about Triangles 400

(0, 3) and (2.5, 3)

Truths about Triangles 500

• Charles was making triangles with sticks. If he has a 6 – inch stick and a 3 – inch stick which stick can he NOT use to form a triangle.– A. 4 in. B. 5 in.– C. 3 in. D. 7 in.

Truths about Triangles 500

• Charles was making triangles with sticks. If he has a 6 – inch stick and a 3 – inch stick which stick can he NOT use to form a triangle.

C. 3 in.

Midsegments 100• Find the value of x.

x

18

Midsegments 100

X = 9

Midsegments 200• Find the value of x.

5x

60

Midsegments 200

X = 10

Midsegments 300• Find the perimeter of triangle ABC.

C

BA

7 7

6

6

5

5

Midsegments 300

Perimeter = 18 units

Midsegments 400• Find the value of x and y.

Drawing not to scale.

y

x

2x + 1

3x - 6

Midsegments 400

X = 6

Y = 13/2

Midsegments 500

• Marita is designing a kite. The kites diagonals are to measure 64 cm and 90 cm. She will use ribbon to connect the midpoints of its sides that form a pretty rectangle inside the kite. How much ribbon will Marita need to make the rectangle connecting the midpoints?

3

63

63

6

Midsegments 500

3

63

63

6Marita will need

154 cm of ribbon.

Inequalities 100

• If a = b + c and c > 0, then a > b is which property of inequality?

Inequalities 100

COMPARISON PROPERTY

OF INEQUALITY

Inequalities 200

• Two sides of a triangle have measure of 12 meters and 22 meters what are the possible measures of the 3rd side?

Inequalities 200

10 < s < 34

Inequalities 300

• Can a triangle have lengths of 2 yds, 9 yds, and 15 yds?

Inequalities 300

NO

Inequalities 400

• If KM = 10, LK =3x+2 and ML=5x, and the perimeter of the triangle is 44, find the order of the angles from smallest to largest.

Inequalities 400

, ,L M K

Inequalities 500

• Given the measures of three angles in a triangle as

determine the lengths of the sides from longest to shortest.

2 0 0 0( ) (4 6) 46m A x m B x m C

Inequalities 500

, ,BC AC AB

Relationships in Triangles 100

• If a point lies on the perpendicular bisector of a segment, what holds true about its distance from the endpoints of the segment?

Relationships in Triangles 100

The distance from the point

to each endpoint of the

segment is the same.

Relationships in Triangles 200

• Solve for x.

2x - 7

x + 5

Relationships in Triangles 200

x = 12

Relationships in Triangles 300

• Point C is the centroid of triangle DEF. If GF, G being the midpoint of segment DE, is 9 meters long, what is the length of CF?

Relationships in Triangles 300

CF = 6 meters

Relationships in Triangles 400

• Find the slope of the altitude drawn from vertex A.

(20, 0)

(4, 8)

(0, 0)C

B

A

Relationships in Triangles 400

Slope of the altitude = 2

Relationships in Triangles 500

• Find the equation of the line that is the perpendicular bisector of segment CA, in slope intercept form.

(0, 25)

(3, 16)

(0, 0)T

C

A

Relationships in Triangles 500

120

3y x

Math Fun! 100

• The next three terms in the sequence:

1, 1, 2, 3, 5, 8, …

Math Fun! 100

13, 21, 34

Math Fun! 200

• The point where the two equations

y = 2x – 2 and

7x – 3y = 11 intersect.

Math Fun! 200

(5, 8)

Math Fun! 300

• Write the contrapositive for the statement “If my attitude in geometry is good, then I will have fun.”

Math Fun! 300

If I do not have fun in

Geometry, then my attitude

is not good.

Math Fun! 400

36,222 x 2 =? (Without using a

calc.)

You will see this question

for 4 seconds.

Math Fun! 400

72,444

Math Fun! 500

• What is Mrs. Geltner’s maiden name?

Math Fun! 500

Alex