Geometry and Geometry GT
Midyear Review
Name _____________________________________________
Period __________
1)
Area, Perimeter and Coordinate Geometry
a. Pooltastic Assignment
b. Dream home Assignment
c. Parallel and Perpendicular lines on coordinate plane (slope)
d. Coordinate proofs of quadrilaterals (slope, distance and midpoint)
2)
Constructions and angle proofs
a. Construct copy of a segment
b. Construct copy of an angle.
c. Construct Angle Bisectors
d. Construct Perpendicular Bisectors
e. Construct parallel, perpendicular lines
f. Prove on coordinate plane/Construct Parallelograms
g. Prove on coordinate plane /Construct Squares
h. Prove on coordinate plane /Construct Rectangles
i. Prove on coordinate plane /Construct Rhombus
j. Prove on coordinate plane /Construct Trapezoid
k. Prove Special angle pairs are congruent supplementary or congruent
l. Prove Angles formed with a transversal are congruent
m. Prove angle bisector theorem
n. Prove Perpendicular bisector theorem
3)
Transformations
a. Rigid transformations (translations, rotations, reflections)
b. Dilations (enlargements and reductions)
4)
Similar Figures
a. Non-rigid transformations(dilations) create similar figures
b. Corresponding angles are congruent
c. Corresponding sides are proportional
d. Using triangle similarity statements
e. AA Similarity
f. SAS Similarity
g. SSS Similarity
5)
Basic Triangle Theorems
a. Triangle Sum Theorem
b. Exterior Angles Theorem
c. Corollary to Triangle Sum Theorem
d. Third Angles Theorem
e. Midsegment Theorem
6)
Triangles and Line Segment Partitioning
a. Partitioning a line segment
i. Part to whole
ii. Part to part
b. Proportionality in Triangles
Geometry and Geometry GT
Midyear Review
Name _____________________________________________
Period __________
7)
Points of Concurrency for a triangle
a. Circumcenter - perpendicular bisectors
b. Incenter – angle bisectors
c. Centroid - medians
d. Orthocenter - altitudes
8)
Congruency in triangles
a. Congruent triangles are special case of similar triangles
b. Congruent triangles are created with rigid transformations
c. Congruent triangles are similar triangles whose sides are all in a 1:1 ratio
d. Prove/apply congruent triangle postulates and theorems (SSS, SAS, AAS, ASA, HL)
e. Isosceles Triangles
i. Base angles theorem
ii. Corollary to base angles theorem
iii. Altitude in isosceles triangle from vertex angle is also median, perpendicular bisector,
angle bisector. (prove)
iv. Use base angles theorem in congruent triangle proofs
9)
Right Triangles
a. Similarity in right triangles (geometric mean)
b. Special Right Triangles
i. 30-60-90
ii. 45-45-90