Unit Eight Geometry QUIZ VERSION

Question 1

What principles can be applied to two connected equivalent chords?

Answer 1

Isosceles principle: Angles OPP = sides

Question 2

What is the difference between a “dIaMeter AnGle” and an inscribed angle?

Answer 2

The “dIaMeter AnGle” is equivalent to the arc, the inscribed angle is 1/2 both/

Central Angle = Intercepted Arc

Question 3

What can you do when you see two radii on an inscribed angle?

Answer 3

Radius will only come with right angles; if the angle is split on the diameter, then all three radii are equal and their opposite sides are too.

Question 4

Two chords are congruent if:

Answer 4

They: A) are equidistant from the centre, or B) form corresponding arcs

if AB = CD, (AB = (CD

( is to represent arc symbol.

Question 5

If a radius is _ to a chord, then it _ the _ and its _.

Answer 5

perpendicular, bisects, chord and arc.

If CE perpendicular AB, then AD = BD, (AC = (BC

( is to represent arc symbol.

Question 6

Proof for inscribed angle?

Answer 6

mABC = 1/2 m(AC

( is to represent arc symbol.

Question 7

If an inscribed angle intercepts a diameter then,

Answer 7

it is a right angle

Question 8

INSCRIBED ANGLE PROOF:

Answer 8

If two inscribed angles intercept the same arc, then the angles are equal.

(short memorization) If 2 ang intercept arc, then ang =.

Question 9

QUADRILATERAL PROOF

Answer 9

if a quadrilateral is inscribed in a circle then its opposite angles are supplementary

(short memorization) If quad inscr. then OPP ang SUPP.

Question 10

A tangent is tangent only when it is:

Answer 10

Perpendicular to a radius and drawn to a point of tangency

Question 11

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CONGRUENCY TANGENT

Answer 11

Tangents from the same external point are equal

(short memorization) Tangents Same Ext Pt Equal

Question 12

CIRCUMSCRIBED POLYGONS

Answer 12

If a polygon is circumscribed around a circle, its sides are tangent

I.E., now you use CONGRUENCY TANGENT