Geometry Practice Test - Study Notes

Which segments are skew to segment BC?

Which theorem or postulate can be used to prove the similarity of the two given triangles?

A tree casts a shadow 14 feet long. The angle from the tip of the shadow to the top of the tree is 60 degrees. What is the approximate height of the tree?

Given a║b, m∠3 = $5x+10$, and m∠5 = $3x+10$, find the value of x.

In circle C, arc AB = 72 degrees and AD is a diameter. What is the measure of angle BCD?

If m∠3 = $5x$ and m∠6 = $3x + 20$, and lines a and b are parallel, determine the value of x.

Given the diagram, what is the correct expression to represent the length of segment CD?

Given a set of parallel lines, which relationship is false?

Given two angles measuring 90°, which statement represents the inverse regarding them being complementary?

Which of the following is the best example of deductive reasoning?

Given that AF is congruent to DE, AB is congruent to FC, and AB is parallel to FC, which theorem or postulate proves triangle ABE is congruent to triangle FCD?

Which of the following is a necessary property of all parallelograms?

In the given figure, if angle TSR (the whole angle) measures 4x degrees and angle T is equal to 32 degrees, then what is the value of angle S?

In the provided diagram, which trigonometric function can be used to determine the angle of depression from the pier to the toy sailboat?

What is the error in Joanna's reasoning regarding the diagonals of a figure?

What are the coordinates of the midpoint of the line segment JK, where J(-1, 2) and K(6, 8)?

Based on the diagram, which theorem or postulate can be used to prove triangle JKL is congruent to triangle MNL ?

Given three vertices of a square (3, 1), (4, -4) and (-1, -5), what are the coordinates of the intersection point, Q, of the diagonals?

Tiana makes the conjecture that prime numbers must be odd based on the examples 3, 5, 7, 11. Which statement is true regarding Tiana's conjecture?

In the context of the pier and sailboat problem, if the height of the pier is 6 feet and the horizontal distance to the sailboat is 4 feet, what is the approximate angle of depression?

If triangle JKL is congruent to triangle MNL, which side in triangle MNL corresponds to side JL in triangle JKL?

A property of all rectangles is:

What is the length of segment BI in a rectangular prism with dimensions 12 inches long, 5 inches wide, and 7 inches tall, where B and I are opposite corners of the prism?

Point B is located at (-4, -6). Which reflection would result in B'(6, 4)?

In a 30-60-90 triangle HJK, where angle J is 30 degrees, angle K is 60 degrees, and side HJ is 5, what is the exact length of side HK which is opposite to the 60 degree angle?

If you are traveling at 50 miles per hour, approximately how many feet per second are you moving?

Two similar triangles have corresponding sides with a ratio of 5:3. If the smaller triangle has an area of 108 sq. in., what is the area of the larger triangle?

What additional information is required to calculate the length of the roof using the law of cosines given a diagram that shows the roof angle and the length of each side?

If a triangular prism has 6 vertices, and 5 faces, how many edges does it have?

A house has a width $w$. Given the side lengths of 15 ft and 15 ft, what is the value of $w$?

Given the statement: 'The segment bisector is the midpoint,' what is the inverse of this statement?

Triangle RST has vertices R(3, 3), S(6, -2), and T(0, -2). How can ΔRST be classified based on its sides?

Quadrilateral ABCD has $\overline{AB} ; ,, ,, ,, \overline{CD}$ and $\overline{AD} , ,, ,, \overline{BC}$ . What is the most specific name for quadrilateral ABCD?

A calculator box has a volume of 29 cubic inches. Given that 1 inch = 2.54 centimeters, what is the volume of the calculator box to the nearest cubic centimeter?

What is the image of point Y(-4, 7) under the translation (x, y) → (x + 3, y - 5)?

Given triangle △EFG with side lengths of 8 and 10, and triangle △DGH with side length 12, and that ∠E ≅ ∠D, what additional information is needed to prove the triangles are similar using Side-Angle-Side Similarity Theorem?

In triangle ABC, with side lengths AB = 14.7, BC = 8.3, and AC = 16.9, what is the value of sin(C) rounded to the nearest hundredth?

What is the midpoint of the line segment with endpoints (2, -5) and (-6, 4)?

A square has a diagonal of 7 cm. What is the length of one side of this square?

Which statement regarding geometric terms is correct?

What geometric term describes the intersection of two unique planes?

A quadrilateral is a parallelogram. If its two angles are defined by a and b, where one angle is a and its adjacent angle is $7b-32$, if the other angle is $10a+14$, which values of a and b make it into a parallelogram?

In a right triangle with sides of length 5 and 13, determine the length of the hypotenuse of the right triangle with sides 5 and 13.

Lines l, m, and n are in the same plane. Line m is perpendicular to line l, and line n is also perpendicular to line l. What is the relationship between lines m and n?

What is the number of miles a person will run during a 5-kilometer race, given that 1 km ≈ 0.62 mi?