Unit 4B Geometry

Question 1

To prove sides congruent one would use:

Answer 1

Distance Formula

Question 2

To prove segments bisected one would use:

Answer 2

Midpoint

Question 3

To prove parallel lines one would use:

Answer 3

Slope Formula

Question 4

To prove perpendicular lines one would use:

Answer 4

Opposite Reciprocals

Question 5

To prove right angles one would use:

Answer 5

Perpendicularity

Perpendicularity is the state of being perpendicular.

Perpendicular lines make right angles. All the time.

Question 6

To name a triangle by side length requires:

Answer 6

Distance Formula x3

Question 7

To name a triangle by angle measures requires:

Answer 7

Pythagorean Theorem

If a² + b² > c², the triangle is acute
If a² + b² = c², the triangle is right
If a² + b² < c², the triangle is obtuse

Question 8

To prove a p’gram requires:

Answer 8

Midpoint Formula x2

The diags. will bisect. “I know diags bisect, thus quad is p’gram”

Question 9

To prove a rectangle requires:

first prove it’s a p’gram

Answer 9

Distance Formula x2

The diags. are cong. “I know diags the same, thus p’gram is rect.”

Question 10

To prove a rhombus requires:

first prove it’s a p’gram

Answer 10

Slope Formula x2

Opp. recip. slope. “I know diagonals ⊥, thus p’gram is rhombus”

Question 11

To prove a square requires:

Answer 11

Prove its a rectangle and a rhombus

“A p’gram that is a rect. and a rhombus is a square”

Question 12

To prove a trapezoid requires:

Answer 12

Slope x4

Two ∥, two not. “I know only a pair of opp. sides =, thus quad is trap.”

Question 13

To prove an isoceles trapezoid requires:

Answer 13

Distance x2

Distance of legs congruent. “I know legs cong., thus trap. is -iso.”