Geometry Vocab 2024

A student draws a quadrilateral. The quadrilateral has all the properties listed. - Opposite angles of the quadrilateral are congruent, but all angles are not congruent. - Opposite sides of the quadrilateral are parallel. - The diagonals of the quadrilateral bisect each other. Which term or phrase best describes the quadrilateral?

• Parallelogram

• Rectangle that is not a square

• Square

• Trapezoid that is not a parallelogram

Tags

CCSS.HSG.CO.C.11

Which two statements are true?

• Diagonals of a rectangle are always perpendicular.

• Diagonals of a rectangle always bisect the vertex angles.

• Diagonals of a rhombus are always congruent.

• Diagonals of a square are always congruent.

• Diagonals of a square are always perpendicular bisectors.

Tags

CCSS.HSG.CO.C.11

Which statement is always true?

• A diagonal of a parallelogram creates two congruent triangles.

• Adjacent angles of a parallelogram are congruent.

• All parallelograms are rectangles.

• Opposite angles of a parallelogram are supplementary.

Tags

CCSS.HSG.CO.C.11

Rectangle EFGH is rotated about the line segment EF. Which three-dimensional object is formed?

• Prism

• Cylinder

• Cube

• Cone

Tags

CCSS.7.G.A.3

In order to construct a line perpendicular to the given line that intersects P, first use a compass to draw the two arcs shown. When using the compass at the same setting to draw two arcs below the line, the compass needle needs to be placed at which point(s)?

• Each endpoint of the line

• Point P

• Points on the line directly below point P.

• The intersection of each of the arcs and the line.

A student wants to construct a perpendicular bisector of a line segment. The student sets a compass length to create two circles with centers the endpoints of the line segment. What is the students' mistake?

• The student should have made the circles smaller.

• The student should have made one circle larger than the other.

• The student should have set the compass wider so that the circles have the same diameter and intersect at two points.

• The student should have made two circles with different diameters and both centered on the same endpoint.

Tags

CCSS.HSG.CO.C.9

The diagram below shows rectangle RSTU with two diagonals drawn. To find the value of x, Justin wrote the following steps. 1. m∠SRT + m∠RTU = 90° 2. m∠RTU = 2x° 3. 6x − 15 = 2x 4. 6x = 2x + 27 5. x = 7 Which statement can be used to justify the first step?

• The alternate interior angles formed by the diagonals are congruent.

• The angles at each vertex of the rectangle are right angles.

• Opposite angles in a rectangle are congruent.

• The diagonals of a rectangle are congruent.

Tags

CCSS.HSG.CO.C.11

The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based on the information, which statement is a non-valid conclusion about Trapezoid ABCD?

• The parallel bases are congruent

• The non-parallel sides are perpendicular

• The non-parallel sides are not congruent

• One base and one non-parallel side are perpendicular

Given the statements Δ ABC ≅ Δ JKL are true, which statement is a valid conclusion?

• Δ ABC ≅ Δ JKL

• AB ≅ JK

• ∠ A ≅ ∠ L

• Δ ABC ≅ Δ JKL

Tags

CCSS.HSG.CO.B.7

Triangle WTY has a point on side WT and point Q on side WY. If RQ||TY, which of the following relationships MUST be true?

• ∠ RQW ≅ ∠ QRW

• ∠ RTY ≅ ∠ QYT

• ∠ WRQ ≅ ∠ RTY

• ∠ RWQ ≅ ∠ TYQ

Tags

CCSS.HSG.SRT.B.4