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Topic 1: Geometry Basics

100

Write the Distance and Midpoint Formula. 

Distance Formula: d= √[(x₂ - x₁)² + (y₂ - y₁)²] 

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

200

Question 3

Find the length of AB. If A (-1,7) and B (11, -1)

14.4

300

Question 4

Find the Midpoint of AB. If A (-1,7) and B (11, -1)

(5, 3)

400

Question 9. 

Find angles x, y, and z. 

x = 32° 

y= 58° 

z = 32° 

500

Question 12

∠C and ∠D are supplementary angles. If m∠D is nine less than twice m∠C, find m∠D. 

m∠ D = 117

Topic 2: Logic Statements and Topic 4 Proofs

100

Write the conditional statements for the following. use p and q. 

Conditional, Inverse, Converse, and Contrapositive. 

Conditional: p → q

Inverse: ~p → ~q

Converse: q →  p

Contrapositive ~q → ~p

200

Question 14

p: two angles are adjacent; q: they form a linear pair

Write the conditional, inverse, converse, and contrapositive. 

Conditional: If two angles are adjacent, then they form a linear pair. 

Inverse: If two angles are not adjacent, then they do not form a linear pair. 

Converse: If two angles form a linear pair, then they are adjacent. 

Contrapositive: If two angles do not form a linear pair, then they are not adjacent. 

300

Question 21.

Determine whether the conclusion was made by the law of detachment, law of syllogism, or invalid. 

Law of Syllogism 

400

Question 35

State the property, definition, or postulate. 

m∠ DEF = m∠ DEF

Reflexive 

500

State the property, definition, or postulate. 

If m∠ A = m∠ C, and m∠ C = m∠ D, then m∠ A = m∠ D.

Transitive 

Topic 5 Parallel and Perpendicular Lines and Topic 6 Coordinate Planes

100

Question 39. 

Use the diagram below to name each pair of lines. 

∠1 and ∠8      ∠6 and ∠7

∠2 and ∠4      ∠ 3 and ∠ 6

Alternate exterior ∠ 's

Same side interior ∠ 's (consecutive interior)

Corresponding ∠'s

Alternative interior ∠'s

200

Question 42 check diagram 

If m and n are parallel, solve for x. 

x = 6

300

What are the slope formula, slope-intercept form, standard form, and point-slope formula?

slope formula: m = y2-y1/x2-x1

Slope-Intercept Form: y = mx + b

Standard Form: Ax + By = C

Point-Slope Form: y - y1 = m(x - x1)

400

Question 49

Find the slope of the line that contains the points (-2, 1) and (-2, -9)

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500

Write an equation of a line parallel to the line y=-2x+8 and passes through the point (-1,-3). 

y=-2x-5

Topic 7: Triangles and Angles

100

Question 54 

Find the measure of each numbered angle. 

m∠  1 = 47

m∠ 2 = 19

m ∠  3 = 133

200

Question 55

Find the value of x. 

x = 7

300

Question 56. 

Find the m∠ S

m∠ s = 28

400

Question 57

Find the value of x

x = 12

500

Question 58

If △ ABC ≅ △DEF, Solve for x and y. 

x = 4

y = 7

Topic 8: Congruent Triangles

100

Question 59

What are the methods to prove triangles are congruent?

SSS, SAS, ASA, AAS, HL

200

Question 60

Determine if the triangles below are congruent. If yes, state which method. 

A. SAS

B. AAS

C. ASA

D. HL

E. Not Congruent

F. SSS

300

Question 61

Complete the proof.

Reasons

1. Given

2. Definition of Midpoint

3. Vertical Angles

4. SAS

400

Question 62. 

Complete the proof

Reasons

1. Given

2. Corresponding Angles

3. Given

4. ASA

500

Question 63. 

Complete the proof. 

Reasons

1. Given

2. Definition of Angle Bisector

3. Given

4. Reflexive Property

5. AAS