Geometry

• Agenda:-Entrance/ACT questions-Review Practice (8-5)- “Math Madness” activity

Practice8-5: 7, 9, 10, 13, 15, 16, 17

The month of February is quickly coming to an end, and basketball fans everywhere are gearing up for March Madness. In honor of this, we are going to play a basketball game in our classroom!!!

Directions• You will be split up into two teams. • Each team needs to select a captain. • Tip off: The captains will race each other to

solve a problem on the board. The captain who solves the problem first will win control of the ball.

• The team with possession of the ball will have to answer three questions correctly before they have the opportunity to go for a basket. The captain will decide who will try for the basket.

• Answering Questions: Teams will talk about each question. However, only the captain will answer.

• A team may make a two point shot or a three point shot.

• Stealing: If the team with the ball misses a question, the other team has the opportunity to steal the ball. If the other team correctly answers the question, they will steal the ball. If they, too, miss the question, possession of the ball will not change.

• Participation: Everyone in the class needs to work out each problem. Papers will be collected at the end of class, and you will be given participation credit.

So get ready…Get set…For Math Madness!!!

Tip Off Question

• Solve for x:

3

1

2

xx

Question 1

• In the proportion , the means are _____ and the extremes are ______.

5

3 x

x

Question 2

• Are these figures similar? Why or why not?

32°

32°

Question 3

• Find the geometric mean of 4 and 16.

Question 4

• Solve for x.

x 7 13

Question 5

• What does it mean for two triangles to be congruent?

Question 6

• If 5x = 7y, then ?

?

y

x

Question 7

• Solve for t. 2 x

3 9

Question 8

• What makes two triangles similar?

Question 9

• Are these figures similar? Why or why not? 4 86 6

Question 10

• Solve for y.

y 2 6

Question 11

• ABCD~EFGH. Complete the following statements: B C

A D E F

H G

?

?

?

BC

EF

AB

C

B

Question 12

• Solve for x.

4 x+1

9 2x+4

Question 13

• The following figures are similar. Find x.

4 3 x 2x-1

Question 14

• Solve for x.

x x+2

5 8

Question 15

• Find the geometric mean of 6 and 10.

Question 16

• Solve for x (Figure not to scale).

4 16 10 8 x 5

Question 17

• Why are the following figures similar? Write a similarity statement for these triangles.

B Y 12 20 10 6

A 16 C Z 8 X

Question 18

• Solve for x.

10 5 6

x

Question 19

• The following figures are similar. Solve for x.

5 3 x+3 x+1

Question 20

• Solve for x and y.

y 3

7

X

Question 21

• Solve for x and y.

10 y 16 23 x 5.75

Question 22

• Are the following triangles similar? Why or why not?

14 7

10 5

Question 23

• The altitude to the hypotenuse of a right triangle divides the hypotenuse into 2 segments. One is 5 in. and the other is 7 in. What is the length of the altitude?

Question 24

• Solve for x.

x+1 x+4

2x-3 2x

Question 25

• Two boats are on opposite sides of a lake. A survey crew found the measurements shown in the figure. Find the distance between the boats. The figure is not to scale.

70m 80m Boat 1 50m 60m 90m Boat 2

Question 26

• Solve for x. 24

x

3 4

Question 27

• Solve for x.

x x+8

x-2 x+4

Question 28

• The 500-m path to the information center and the 1200-m path to the canoe rental dock meet at a right angle at the parking lot. Joe walks straight from the parking lot to the lake as shown. How far is Joe from the information center? A(info)

Parking 500m C D 1200m Joe is here

B(canoes)