Unit 1 Review - Geometry (22/23)

Section 1.1

100

Name the error(s) found in the picture below.

Missing 'm' in front of angle signs.

200

If AB=x, BC=4x, and AC=80, then BC=__?

BC = 64

300

Name a pair of Opposite Rays.

Segment CG and Segment CD.

400

If AC = 240, then BC= ___?

BC = 120

500

If EM=15cm, then SA=...

If m∠S = 105^o, then m∠M=...

SA = 15cm

m∠M = 105^o

Section 1.3

100

This formula gives us...

Midpoint.

200

This formula gives us...

Distance between two points (x₁,y₁) and (x₂, y₂).

Length of a segment with endpoints
(x₁,y₁) and (x₂, y₂).

300

Find the midpoint of this segment.

M = (1, 2)

400

What is the length of the segment?

The length is
sqrt(16+9)= sqrt(25) = 5.

500

Given the midpoint and the endpoint in the following image, determine the coordinates of Q.

Q(8, 12)

Section 1.4

100

Inductive Reasoning tells us the # of triangles at step 5 is...

12 triangles.

200

Give a counterexample to the claim...

"Squaring any number will return a positive number."

The number 0 --> 0² = 0*0 = 0. Note that 0 is not positive.

300

The number at stage 6 will be...

200, 50, 50/4, 50/16, ___, ___, ...

50/256

400

Give a counterexample to the claim...

"If it has at most 4 sides, then it is a square."

A triangle has 3 sides (<4) and is not a square.

500

Determine the 5th and 6th values in the pattern below.

1, -4, 16, -64, __, __

5th is 256

6th is -1024

Section 1.5

100

Below is an example of a...

"If it's a bird, then it has feathers."

Conditional Statement.

200

A conditional statement is given:

    "If x=7, then x² = 49."

What is the truth value of this statement?

True.

300

Given the conditional statement:

"If it's an even number, then it's divisible by 2."

State the contrapositive.

"If it's not divisible by 2, then it's not an even number."

400

Given the statement:

"x=5 if 3x+2=17."

State the converse.

if x=5, then 3x+2 = 17.

500

Determine the truth value of the statement:

"If |x| = 12, then x = 12."

If false, state why.

False.

If |x| = 12, then x=-12 is also a possibility.

Section 1.6

100

State this law.

"If p implies q is true, and p is true,

then q is true."

Law of Detachment.

200

If 3 points are non-collinear, then they form a triangle.

Points A,B, and C are not on a line.

Conclusion: __________

Points A,B, and C form a triangle.

300

Name this law of logic:

If p→q and q→r are both true,

then p→r is true.

Law of Syllogism.

400

If x < 0, then x is negative.

If x is negative, then |x| > 0.

Conclusion (if-then):

if x < 0, then |x| > 0.

500

Use the law of detachment to draw a logical conclusion:

If it is a circle, then its circumference is 2πr (π = pi).

 

Circle O has a circumference of 6π (approx. 18.85)