Geometry Benchmarks

Use the links below to find practice and explanations.  Chapters where each can be found in the text book are also listed.

Geometry Benchmarks

GBM#Ch  Quarter 1

I can compare and order rational and irrational numbers, including finding their approximate locations on a number line.
Practice 1, Practice 2


I can compare and contrast various forms of representations of patterns. 
Practice 1- pictures, Practice 2 - shapes, Practice 3 - numbers, Practice 4 - numbers

31.1I can apply inductive reasoning to solve real-life situations.
4Smile1.2I can identify and draw representations of points, lines, planes, rays and segments.
Vocabulary Practice, Glossary

I can use the Distance Formula to find the length of a line segment on a coordinate plane.
Practice 1, Explanation, Explain and Practice; Practice 2


I can identify and classify types of angles.
Explain and Practice, Explain and Practice 2

7Smile1.4I can construct and measure angles using a protractor.
Explain and Practice, Awesome Explanation and Practice

I can bisect a line segment using a Compass and find the midpoint of a line segment using the Midpoint Formula.
Tutorial Explanation, Explanation 2; Midpoint Formula Practice; Practice 1 (scroll down for midpoint practice)


I can bisect an angle using a compass and angle addition method/postulate

10Smile1.6I can identify and use the properties of linear and vertical angles to find angle measurement.
Vertical Practice 1; Linear (Supplementary)
11Smile1.6I can identify and use the properties of complementary and supplementary angles to find angle measurement
Supplementary Practice

I can simplify/evaluate expressions using the properties of exponents.
Explanation, Summary and Practice, Practice 2

13TBI can model and solve problems that represent linear and quadratic relationships.

I can find the perimeter (circumference) and area of common plane figures (square, rectangle, triangle and circle).
Explanation and Practice; Practice 1


I can recognize and analyze a conditional statement (if-the, hypothesis, conclusion, etc).  
Summary; Practice 1

16Smile2.1, 2.2I can recognize and use bi-conditional statements about geometric terms and concepts.  
Practice 1
17Smile2.3I can use symbolic notation to represent a logical statement.  
18Smile2.3I can form conclusions by applying the laws of logic (syllogism, detachment)  
192.4, 2.5, 2.6I can justify and prove statements about line segments, and angles.
203.1I can identify angles formed by transversals.
213.2I can write different types of proofs..  
223.3, 3.4, 3.5I can use properties of parallel and perpendicular lines in proving theorems.  
233.6, 3.7I can identify whether two lines are parallel, perpendicular, or skew.
243.6, 3.7I can use slopes to determine whether two lines on a coordinate plane are parallel, perpendicular, or neither.
253.6, 3.7I can write the equation of a line that is parallel or perpendicular to a given line on a coordinate plane.
26End 3I can draw and solve problems of 3-D objects with different views.  (see p. 188-189)
274.1I can find missing angle measures in triangles.
284.1, 4.2I can classify triangles by their sides and angles.
284.3I can prove that triangles are congruent using Side-Side-Side and Side-Angle-Side.
294.4I can prove that triangles are congruent using Angle-Side-Angle and Angle-Angle-Side.
304.6I can use the properties of isosceles and equilateral triangles to solve problems.
314.7I can explain and solve problems involving  geometric figures in the coordinate plane.
335.1I can use algebraic properties and the definition of angle bisectors to determine angle measures.
345.5?, 5.6I can use triangle measurement to determine which side is longest/shortest and determine which angle is largest/smallest using Hinge Theorem .
356.1I can identify, name and describe polygons.
366.1I can find the measures of interior angles of polygons.
376.2I can identify and apply the properties of parallelograms.
386.2I can use some properties of parallelograms and use in real life situations
396.3I can prove a quadrilateral is a parallelogram.
406.4I can use the properties of sides and angles of rhombi, rectangles and squares to solve problems.  
416.4I can use the properties of diagonals of rhombi, rectangles, and squares to solve problems.  
426.5I can identify the properties of trapezoids, and use them to solve problems.  
436.5I can identify the properties of kites, and use them to solve problems.  
446.7I can find the areas of triangles and quadrilaterals (rhombi, trapezoids, parallelograms).  
457.1I can identify the three basic rigid transformations (reflection, rotations and translations). 
467.2I can use and apply constructions in a plane to represent a reflection, rotation and translation of an object.  
477.2I can identify  lines and axis of symmetry  2-D figure.
48Pre 8I can analyze linear equations through intercepts and rate of change.
498.1I can write and simplify ratios and proportions.
508.7I can identify dilations.  
519.1I can solve problems involving similar right triangles.
529.2I can use the Pythagorean Theorem to solve problems.
539.3I can use the converse of the Pythagorean Theorem to solve problems.
549.4I can identify and find the side lengths of a special right triangles ( 30-60-90 & 45-45-90)  
559.4I can use special right triangles to solve problems.
5611.1I can find the measures of exterior angles of polygons.
5711.3I can use perimeters and areas of similar figures to solve real-life problems.  
5812.1I can identify the different types of geometric solids.
5912.2I can calculate the surface area of prisms and cylinders (including nets).
6012.3I can calculate the surface area of pyramids and cones (including nets).
6112.4I can find the volume of prisms and cylinders.
6212.5I can find the volume of pyramids and cones.
6312.6I can find the volume and surface area of spheres.
64XMASI can organize and represent the data using appropriate graphical representations (I.e.: histograph, bar/line graph, pie, scatter-plot, stem & leaf).
65XMASI can formulate questions and collect data given an event.
66XMASI can interpret and analyze graphical data including its distribution and shape.


Smile  = Benchmark has already been taught in class.