Geometry Semester 2 Final Self Check
Can you do each of the following?
Similar Triangles (P.10) – 9%

Determine which parts of similar triangles are corresponding.

Determine side lengths and angle measures of similar triangles

Explain why two triangles are similar using side lengths or AA.

Use similar triangles to solve word problems
Special Right Triangles (Q.4) – 4%

Determine the missing side lengths of special right triangles.
Dilations (L.15) – 3%

Given two figures on the coordinate plane, where one has been dilated to create the other, determine the
scale factor of that dilation.
Trigonometry (R.1, R.7 R.8, and R.9) – 12%

Use trig functions and their inverses to find missing side lengths and angles in right triangles.

Use trig functions to solve word problems involving right triangles.
Law of Sines and Law of Cosines (R.11 and R.12) – 5%

Use law of sines and law of cosines to solve for missing side lengths and angles in triangles.

Use law of sines and law of cosines to solve word problems.
Area (S.2, S.3, S.4, S.5, S.6, S.7, and S.8) – 13%

Find the area of a quadrilateral on the coordinate plane.

Find the area of a regular polygon.

Find the probability that a point chosen is within the given bounds of a composite shape.
Cross-Sections (H.4) – 1%

Determine the shape of a horizontal or vertical cross-section of a given 3D object.
Surface Area (T.2, T.3) – 11%

Determine the surface area of a cylinder, prism, cone, pyramid, and sphere.

Determine the surface area of a composite object.
Volume (T.4, T.5) – 12%

Determine the volume of a cylinder, prism, cone, pyramid, and sphere.

Determine the volume of an object described in a word problem.
Changing Dimensions (P.11, T.8) – 1%

Determine the effect on the area and volume of an object when the dimensions are changed.
Circles (U.1, U.2, U.3, U.4, U.5, U.9) – 24%

Write the equation of a circle given its center and diameter

Graph a circle given its equation.

Determine an arc length given an arc measure and radius

Know that a tangent to a circle is at 90 degrees to the radius.

Know and apply the relationship between arc measure and central angle measure

Know and apply the relationship between arc measure and an inscribed angle measure.

Know that the interior angles of a triangle sum to 180 degrees.

Know and apply the chord-chord product theorem.

Know and apply the Pythagorean theorem.
Unit Circle (Level M: Y.6) – 11%

Know the exact values of sine and cosine measurements of radian measures found on the unit circle.

Convert between degrees and radians.

Sketch an angle measured in radians in standard position.

Determine the reference angle of a given angle measured in radians.