Ch. 1 Review
Honors Geometry
Test Topics (sections 1.1-1.5)
 Naming
geometric figures
 Union/intersection
 Degree conversions
 Congruence
 Writing/Solving Equations
 Clock problems
 Assumptions (straight angles)
 Basic 1 Step Proofs (if/then statements)
Test Topics
 Basic
2 col proofs (be able to fill in steps)
 Bisectors/Trisectors/Midpoints
 Ratio Problems
 Converse/Inverse/Contrapositive
Test Reminders
 Bring
notebook for notebook check!
 Bring a calculator
 Have review completed
 Test is 25% of grade – no retakes!
 Make sure you prepare to finish in 50 min
 If then statements must match given info!
Clock Problems
 Calculate
the measure of the angle
created by the hands of a clock at 2:50.
145 Degrees
Ratio Problems
 If
a 15 cm segment is divided in a 2:3 ratio,
how long is the smaller segment?
 6 cm
 If
a right angle is divided in a 4:5 ratio,
how large is the larger angle?
 50 degrees
Intersection/Union
𝑈 𝐴𝐶 =
𝐴𝐺 ∩ 𝐹𝐶 =
𝐴𝐵 𝑈 𝐵𝐶 𝑈 𝐴𝐶 =
𝐴𝐵
𝐴𝐽
∩ 𝐻𝐷 =
𝐴𝐺
∩ 𝐴𝐷 =
Intersection/Union
𝑈 𝐴𝐶 =∠𝑩𝑨𝑪
𝐴𝐺 ∩ 𝐹𝐶 = 𝑭𝑮
𝐴𝐵 𝑈 𝐵𝐶 𝑈 𝐴𝐶 =
∆𝑨𝑩𝑪
𝐴𝐵
𝐴𝐽
∩ 𝐻𝐷 = 𝑯𝑫
𝐴𝐺
∩ 𝐴𝐷 = 𝑨
One-Step Proofs
Type equation here.
Given: 𝑩𝑬 𝒃𝒊𝒔𝒆𝒄𝒕𝒔 ∠𝑨𝑩𝑪
Prove: ∠𝑨𝑩𝑬 ≅ ∠CBE
If an angle is bisected, then it is divided
into two congruent angles.
One-Step Proof
Type equation here.
Given: 𝑫𝑬 ≅ 𝑬𝑭
Prove: E is a midpoint
If a point divides a segment into two
congruent segments, then it is a
midpoint.
One-Step Proof
Given: ∠𝑨 𝐢𝐬 𝐚 𝐫𝐭. 𝐚𝐧𝐠𝐥𝐞
∠𝑩 𝐢𝐬 𝐚 𝐫𝐭. 𝐚𝐧𝐠𝐥𝐞
Prove: ∠𝑨 ≅ ∠B
If angles are right angles, then they are congruent.
One-Step Proof
Given: m𝑨𝑩 = 𝟏𝟐
m𝑪𝑫 = 𝟏𝟐
Prove: 𝑨𝑩 ≅ 𝑪𝑫
If segments have the same measure,
then they are congruent.
Logic Statements
“If you live in Cincinnati, then you live in Ohio.”
Converse:
Inverse:
Contrapositive:
(Is each statement true or false?)
Logic Statements
“If you live in Cincinnati, then you live in Ohio.”
Converse (False):
“If you live in Ohio, then you live in Cincinnati.”
Inverse (False):
“If you do not live in Cincinnati, then you do not
live in Ohio.”
Contrapositive (True):
“If you do not live in Ohio, then you do not live
in Cincinnati.”