geometry study

Question 1

complementary angles have a sum of–

Answer 1

90°

Question 2

supplementary angles have a sum of–

Answer 2

180°

Question 3

parallel lines have the same–

Answer 3

slope

Question 4

the slopes of perpendicular lines have ____________ & are _____________

Answer 4

the slopes of perpendicular lines have opposite & are reciprocals

Question 5

the sum of the measures of the angles of a triangle is always–

Answer 5

180°

Question 6

the diagonals of a parallelogram–

Answer 6

bisect each other

Question 7

if two triangles are similar, then their angles are–

Answer 7

congruent

Question 8

if two triangles are similar, then their sides are–

Answer 8

proportional

Question 9

formula for sum of the interior angles of a polygon

Answer 9

(n - 2)180

Question 10

formula for each interior angle of a regular polygon

Answer 10

(n - 2)180/n

Question 11

sum of exterior angles of a polygon

Answer 11

360°

Question 12

formula for each exterior angle of a regular polygon

Answer 12

360/n

Question 13

given 2 sides of a triangle are 20 and 7, the 3rd side must be between–

Answer 13

13 & 27 (add + subtract both digits)

Question 14

conditional

Answer 14

p → q

Question 15

inverse

Answer 15

q → p

Question 16

converse

Answer 16

~p → ~q

Question 17

contropositive

Answer 17

~q → ~p

Question 18

an angle formed by tangent and a chord is equal to–

Answer 18

half (1/2) it’s intersected arc

Question 19

a central angle is equal to–

Answer 19

it’s intersected arc

Question 20

twice the measure of an inscribed angle is equal to the measure of its–

Answer 20

intercepted arc

Question 21

an exterior angle of a triangle is equal to the ____ of the ____ - _______________

Answer 21

an exterior angle of a triangle is equal to the sum of the non-adjacent (remote) interior angles

Question 22

sine is equal to

Answer 22

opposite leg/hypotenuse

Question 23

cosine is equal to

Answer 23

adjacent/hypotenuse

Question 24

tangent is equal to

Answer 24

opposite leg/adjacent

Question 25

the largest angle of a triangle is opposite the--

Answer 25

largest side

Question 26

if 2 sides of a triangle are congruent, then the _____ _________ are congruent.

Answer 26

if 2 sides of a triangle are congruent, then the base angles are congruent.

Question 27

corresponding angles are--

Answer 27

congruent

Question 28

alternate exterior angles are--

Answer 28

congruent

Question 29

alternate interior angles are--

Answer 29

congruent

Question 30

consecutive interior and consecutive exterior angles are--

Answer 30

supplementary

Question 31

if a^2 + b^2 < c^2, then the triangle is--

Answer 31

obtuse

Question 32

the midsegment of a trapezoid is found by--

Answer 32

averaging the bases a = b + c/2

Question 33

a parallelogram with 4 congruent angles must be a--

Answer 33

rectangle

Question 34

a parallelogram with 4 congruent sides must be a--

Answer 34

rhombus

Question 35

a quadrilateral that is both a rectangle and a rhombus is a--

Answer 35

square

Question 36

the measure of each angle of an quadrilateral is--

Answer 36

60°

Question 37

the reflection of (-3,7) in the x-axis is--

Answer 37

(-3,-7)

Question 38

the relationship between an interior and exterior angle of a polygon (at the same vertex) is--

Answer 38

supplementary

Question 39

the Pythagorean theorem states that for any right triangle,

Answer 39

a^2 + b^2 = c^2

Question 40

the five methods to prove triangles congruent are:

Answer 40

SAS, SSS, ASA, AAS, HL

Question 41

the three methods for proving triangles are similar are:

Answer 41

AA~, SSS~, SAS~

Question 42

CPCTC stands for--

Answer 42

corresponding parts of congruent triangles are congruent

Question 43

the angle of elevation or angle of depression is always measured from--

Answer 43

horizontal

Question 44

when finding the measure of an angle using trig, use the ______ function (mode).

Answer 44

degree mode