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What is the side length of the square labeled X?
What is the side length of the square labeled X?
If a bug travels from vertex S to T to U to V to W, what is the total distance traveled if it includes the sides of the squares labeled?
If a bug travels from vertex S to T to U to V to W, what is the total distance traveled if it includes the sides of the squares labeled?
What is the measure of ∠PQS in the given shapes?
What is the measure of ∠PQS in the given shapes?
Which triangle similarity relation applies to ΔRST and ΔMNP given their sides?
Which triangle similarity relation applies to ΔRST and ΔMNP given their sides?
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If RS = 10 and MN = 12 for similar triangles, what can be inferred about the ratio of their corresponding sides?
If RS = 10 and MN = 12 for similar triangles, what can be inferred about the ratio of their corresponding sides?
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Given the area of ΔRST is 1000, what is likely the area of ΔMNP if their corresponding sides are proportional?
Given the area of ΔRST is 1000, what is likely the area of ΔMNP if their corresponding sides are proportional?
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What property allows one to find the perimeter of ΔMNP given the dimensions of ΔRST?
What property allows one to find the perimeter of ΔMNP given the dimensions of ΔRST?
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If the smallest square has a side length of 1 and the largest square has a side length of 4, which is true regarding their relationship?
If the smallest square has a side length of 1 and the largest square has a side length of 4, which is true regarding their relationship?
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What condition will NOT indicate that quadrilateral ABCD is a parallelogram?
What condition will NOT indicate that quadrilateral ABCD is a parallelogram?
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In a convex quadrilateral where AC bisects ∠BAD and m∠ABC = m∠ACD, if AB = 4 and AC = 6, what is the length of AD?
In a convex quadrilateral where AC bisects ∠BAD and m∠ABC = m∠ACD, if AB = 4 and AC = 6, what is the length of AD?
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What is the sum of the number of sides of two convex polygons formed when a diagonal is drawn in a convex 20-gon?
What is the sum of the number of sides of two convex polygons formed when a diagonal is drawn in a convex 20-gon?
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In trapezoid ABCD with AB || CD, if m∠AEB = 110°, m∠BAC = 30°, and m∠DBC = 60°, what is the measure of ∠BCD?
In trapezoid ABCD with AB || CD, if m∠AEB = 110°, m∠BAC = 30°, and m∠DBC = 60°, what is the measure of ∠BCD?
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What is the largest possible number of intersection points (n) for two squares in a plane?
What is the largest possible number of intersection points (n) for two squares in a plane?
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What is the measure of m∠BAD in convex quadrilateral ABCD with equal opposite sides and given angles?
What is the measure of m∠BAD in convex quadrilateral ABCD with equal opposite sides and given angles?
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How many lines of symmetry does a regular hexagon have?
How many lines of symmetry does a regular hexagon have?
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What is the total area of the concave quadrilaterals ABCD, BCAD, and CABD formed within triangle ABC with an area of 12?
What is the total area of the concave quadrilaterals ABCD, BCAD, and CABD formed within triangle ABC with an area of 12?
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What is the domain of x in the provided options?
What is the domain of x in the provided options?
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In triangle ABC, BD and CD measure 5 and 4 respectively. What is the length of the altitude from A to hypotenuse BC?
In triangle ABC, BD and CD measure 5 and 4 respectively. What is the length of the altitude from A to hypotenuse BC?
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In a 30-60-90 triangle with a hypotenuse of length 1, what is the length of the side of the equilateral triangle formed by the centroids of the constructed triangles?
In a 30-60-90 triangle with a hypotenuse of length 1, what is the length of the side of the equilateral triangle formed by the centroids of the constructed triangles?
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How long will it take Tianbo to reach the skyscraper if he is moving at 10 meters per second and spots the base at a 45-degree angle of depression?
How long will it take Tianbo to reach the skyscraper if he is moving at 10 meters per second and spots the base at a 45-degree angle of depression?
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What shape is formed when three or more coplanar, nonintersecting line segments of different lengths are connected at their ends?
What shape is formed when three or more coplanar, nonintersecting line segments of different lengths are connected at their ends?
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In trapezoid ABCD where m∠C and m∠D are both 60 degrees, what is the necessary measure for the line segment DE if BG is equal to 1 and CD is equal to 2?
In trapezoid ABCD where m∠C and m∠D are both 60 degrees, what is the necessary measure for the line segment DE if BG is equal to 1 and CD is equal to 2?
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What is the degree measure of one interior angle of a regular convex hexagon?
What is the degree measure of one interior angle of a regular convex hexagon?
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If AC measures 6 and BC measures 5 in triangle ABC, what is the perimeter of triangle ABC?
If AC measures 6 and BC measures 5 in triangle ABC, what is the perimeter of triangle ABC?
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What is the measure of angle ∠MJN in the configuration of parallel lines HK and LN intersecting the transversals PG and FQ?
What is the measure of angle ∠MJN in the configuration of parallel lines HK and LN intersecting the transversals PG and FQ?
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Which measure cannot be an exterior angle of a hexagon with specified interior angles?
Which measure cannot be an exterior angle of a hexagon with specified interior angles?
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Given triangle RST with a right angle at R and the side lengths RS = 10 and RT = 24, what must be true about triangle RST?
Given triangle RST with a right angle at R and the side lengths RS = 10 and RT = 24, what must be true about triangle RST?
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In isosceles triangle RST, if m∠R = (2x + 10)° and m∠T = (6x)°, what is the measure of one base angle?
In isosceles triangle RST, if m∠R = (2x + 10)° and m∠T = (6x)°, what is the measure of one base angle?
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What is the correct distance formula to find the distance between points N and T given their coordinates?
What is the correct distance formula to find the distance between points N and T given their coordinates?
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What could be the valid unit of measure when discussing angle measures in geometry?
What could be the valid unit of measure when discussing angle measures in geometry?
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If a triangle has sides of lengths 4 cm, 4.5 cm, and 3 cm, which statement must be true?
If a triangle has sides of lengths 4 cm, 4.5 cm, and 3 cm, which statement must be true?
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What is the primary characteristic of a hexagon based on its interior angles?
What is the primary characteristic of a hexagon based on its interior angles?
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What is the measure (in degrees) of one of the angles in a 72-sided regular convex polygon?
What is the measure (in degrees) of one of the angles in a 72-sided regular convex polygon?
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What is the cosine of an angle in an equilateral triangle?
What is the cosine of an angle in an equilateral triangle?
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What is the semi-perimeter of triangle DOG given that it is similar to triangle CAT with side lengths 4 and 5 for DOG?
What is the semi-perimeter of triangle DOG given that it is similar to triangle CAT with side lengths 4 and 5 for DOG?
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If the sides CO and CW in triangle COW are 5 and 4 respectively, what is the length of segment DO when OW measures 18?
If the sides CO and CW in triangle COW are 5 and 4 respectively, what is the length of segment DO when OW measures 18?
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What is the formula to express the hypotenuse i in terms of j, k, and h in a right triangle?
What is the formula to express the hypotenuse i in terms of j, k, and h in a right triangle?
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What is the distance between the coordinates (3, 23) and (-17, 44)?
What is the distance between the coordinates (3, 23) and (-17, 44)?
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In a right triangle where the sides measure 3 and 3√2, what is the product of all possible values for the unknown side length?
In a right triangle where the sides measure 3 and 3√2, what is the product of all possible values for the unknown side length?
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What is the length of one side of a square inscribed inside an equilateral triangle with side lengths of 2?
What is the length of one side of a square inscribed inside an equilateral triangle with side lengths of 2?
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How deep is the pond in inches where the pole's base is located?
How deep is the pond in inches where the pole's base is located?
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Which could NOT be the measure of one angle of isosceles triangle DRST?
Which could NOT be the measure of one angle of isosceles triangle DRST?
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What is the measure of one exterior angle of a regular polygon with n sides if one angle measures (4n)?
What is the measure of one exterior angle of a regular polygon with n sides if one angle measures (4n)?
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What is the measure of angle RTU if mÐSRT is 30° and mÐUVW is 40°?
What is the measure of angle RTU if mÐSRT is 30° and mÐUVW is 40°?
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Which triangle has congruent sides and angles in the description of DRST and DPQN?
Which triangle has congruent sides and angles in the description of DRST and DPQN?
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What is the length of segment ST if US = 5 and SV = 12 in rectangle RTVU?
What is the length of segment ST if US = 5 and SV = 12 in rectangle RTVU?
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What is the length of the hypotenuse in a right triangle if the other two sides measure 2 and 3?
What is the length of the hypotenuse in a right triangle if the other two sides measure 2 and 3?
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If the hypotenuse of a right triangle is 7 and the altitude to it is 2√3, what aspect can be calculated?
If the hypotenuse of a right triangle is 7 and the altitude to it is 2√3, what aspect can be calculated?
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Study Notes
Geometry Individual Test Study Notes
- No specific topic is provided in the prompt. Please provide the text or questions you would like notes for.
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