Geometry Chapter One Created by Educational Technology Network. www.edtechnetwork.com 2009

10 20 30 40 50 Segments and Congruence Perimeter and Area Angles Midpoint and Distance Angles Angle Pair Relationships Perimeter and Area 10 20 30 40 50

Question 1 - 10 Determine if Segment AB is congruent to Segment CD. A(0,1), B(4, 1), C(1, 2), D(1, 6)

Answer 1 – 10 Congruent

Question 1 - 20 Find the distance between and the midpoint of (-2, 6) and (4, 3)

Answer 1 – 20 10.2 and (1, 4.5)

Question 1 - 30 Point S is between R and T on segment RT. Set-up an equation, solve for x and then find RS and ST. RS = 2x + 10 ST = x – 4 RT = 21

Answer 1 – 30 x = 5, RS = 20, and ST = 1

Question 1 - 40 Point S is between R and T on segment RT. Set-up an equation, solve for x and then find RS and ST. RS = 2x – 8 ST = 3x – 10 RT = 17

Answer 1 – 40 x = 7, RS = 6, and ST = 11

Question 1 - 50 Determine if Segment AB is congruent to Segment CD. A(-6, -8), B(-6, 2), C(-2, -4), D(-6, -4)

Answer 1 – 50 Not Congruent

Question 2 - 10 Find the midpoint of the segment with endpoints (0, 4) and (4, 3)

Answer 2 – 10 (2, 3.5)

Question 2 - 20 Find XZ if you know M is the Midpoint:

Answer 2 – 20 146

Question 2 - 30 Use the given endpoint R and midpoint M of Segment RS to find the coordinates of the other endpoint S: R(-7, 11) and M(2, 1)

Answer 2 – 30 (11, 9)

Question 2 - 40 Find the length of the segment with endpoints S(-1, 2) and T(3, -2)

Answer 2 – 40 5.7

Question 2 - 50 The endpoints of segment LF are L(-2, 2) and F(3, 1). The endpoints of segment JR are J(1, -1) and R(2, -3). What is the approximate difference in lengths of the two segments?

Answer 2 – 50 2.86

Question 3 - 10 Given m<WXZ = 80 degrees, find m<YXZ.

Answer 3 – 10 55 degrees

Question 3 - 20 Given m<FJH = 168 degrees, find m<FJG.

Answer 3 – 20 135 degrees

Question 3 - 30 In the diagram Ray BD bisects <ABC. Find m<ABC.

Answer 3 – 30 156 degrees

Question 3 - 40 Ray BD bisects <ABC. Find m<ABC if m<ABD = 5x and m<DBC = 3x + 10.

Answer 3 – 40 50 degrees

Question 3 - 50 Define what it means to be adjacent angles?

Answer 3 – 50 Share a side, share a vertex, and no common interior points.

Question 4 - 10 A linear pair fits into two other specific categories that we have discussed, what are they?

Answer 4 – 10 Supplementary and adjacent

Question 4 - 20 The measure of one angle is twice the measure of its supplement. Find the angle measures.

Answer 4 – 20 120 and 60

Question 4 - 30 Find m<DEG and m<GEF

Answer 4 – 30 135 and 45

Question 4 - 40 Two angles form a linear pair. The measure of one angle is 5 times the measure of the other. Find the measure of each angle.

Answer 4 – 40 30 degrees and 150 degrees

Question 4 - 50 Find the values of x and y.

Answer 4 – 50 10, 35

Question 5 - 10 Find the area of the circle in terms of pi that has a radius of 20 inches

Answer 5 – 10 400 pi square inches

Question 5 - 20 Find the circumference of a circle rounded to the nearest thousandth when the circle has a diameter of 15 cm.

Answer 5 – 20 47.124 square cm

Question 5 - 30 A rectangle has a perimeter of 40 cm and a base of 12 cm. What is its area?

Answer 5 – 30 96 square cm

Question 5 - 40 What is the area of a section of pavement that is 20 feet wide and 100 yards long? Give your answer is square feet.

Answer 5 – 40 6000 square feet

Question 5 - 50 Find the area

Answer 5 – 50 22 square units