Math Semester 1 Final

Question 1

Pythagorean Theorem

Answer 1

a^2+b^2=c^2

Question 2

Midpoint

Answer 2

Point that divides the segment into two congruent segments

Question 3

Segment Bisector

Answer 3

Anything that intersects the segment at its midpoint

Question 4

Midpoint Formula

Answer 4

M = (x1+x2/2, y1+y2/2)

Question 5

Distance formula

Answer 5

D = square root of (x1-x2)^2 + (y2-y1)^2

Question 6

Linear Pair

Answer 6

A pair of supplementary adjacent angles.

Question 7

Vertical Angles

Answer 7

Angles opposite each other. They are congruent.

Question 8

Conditional Statement

Answer 8

If hypothesis (p), then conclusion (q)

Question 9

Converse Statement

Answer 9

If conclusion (q), then hypothesis (p)

Question 10

Inverse Statement

Answer 10

If not hypothesis (p), then not conclusion (q)

Question 11

Contrapositive Statement

Answer 11

If not conclusion (q), then not hypothesis (p).

Question 12

Bioconditional Statement

Answer 12

Hypothesis if and only if conclusion

Question 13

Coincident Lines

Answer 13

Two or more lines that are coplanar and share every point

Question 14

Skew Lines

Answer 14

Do not intersect and are not coplanar

Question 15

Slope-Intercept Form

Answer 15

y = mx + b

Question 16

Standard Form

Answer 16

Ax + By = C

Question 17

Point-Slope Form

Answer 17

y - y1 = m(x- x1)

Question 18

What is the shortest distance from a point to a line.

Answer 18

Perpendicular segment

Question 19

If (a,b) is reflected in the x-axis then its image is the point….

Answer 19

(a, -b)

Question 20

If (a,b) is reflected in the y-axis then its image is the point….

Answer 20

(-a, b)

Question 21

If (a,b) is reflected in the line y = x then its image is the point….

Answer 21

(b, a)

Question 22

If (a,b) is reflected in the line y = -x then its image is the point….

Answer 22

(-b, -a)

Question 23

Rotation rule for 90° CCW, 270° CW

Answer 23

(-b, a)

Question 24

Rotation rule for 180° CCW + CW

Answer 24

(-a, -b)

Question 25

Rotation rule for 270° CCW, 90° CW

Answer 25

(b, -a)

Question 26

Rotation rule for 360° CCW + CW

Answer 26

(a, b)

Question 27

How do you find dilation scale factor?

Answer 27

image length/ actual length = k.

Question 28

Circumcenter

Answer 28

Intersection of perpendicular bisectors

Question 29

Incenter

Answer 29

Intersection of angle bisectors

Question 30

Centroid

Answer 30

Center of medians (the segment that connects the midpoint of a leg to the opposite vertex). C = (x1 + x2 + x3/3), (y1 + y2 + y3/3)

Question 31

Orthocenter

Answer 31

Intersection of altitudes

Question 32

What are the triangle congruence theorems?

Answer 32

SAS, SSS, ASA, AAS, HL

Question 33

Circumcenter is where on acute triangles, right triangles, and obtuse tringles?

Answer 33

Acute: Inside
Right: Midpoint on the Hypotenuse
Obtuse: Outside the Triangle

Question 34

Orthocenter is where on acute triangles, right triangles, and obtuse triangles?

Answer 34

Acute: Inside
Right: On the right angle
Obtuse: Outside and behind the obtuse angle