Rectangles, Rhombi, and Squares: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

Rectangle $ABCD$ has a diagonal $AC$ of $26$ cm. What is the length of diagonal $BD$ ?

Answer choices for question 1 A $13$ cm B $26$ cm C $52$ cm D It cannot be determined
2

A rhombus has diagonals meeting at $O$ . What is the measure of each angle formed by the diagonals?

Answer choices for question 2 A $45^\circ$ B $60^\circ$ C It depends on the side lengths D $90^\circ$
3

In rhombus $ABCD$ , angle $DAB$ measures $138^\circ$ . What is the measure of angle $BAC$ ?

Answer choices for question 3 A $69^\circ$ B $138^\circ$ C $42^\circ$ D $21^\circ$
4

Which statement about every square is true?

Answer choices for question 4 A It is a rectangle but cannot be a rhombus B It is a rhombus but cannot be a rectangle C It is both a rectangle and a rhombus D It has no right angles when rotated
5

You know that a quadrilateral is a parallelogram. Which extra fact guarantees a rectangle?

Answer choices for question 5 A Its diagonals bisect each other B Its diagonals are perpendicular C Its diagonals are congruent D Two adjacent sides are congruent
6

You know that a quadrilateral is a parallelogram. Which extra fact guarantees a rhombus?

Answer choices for question 6 A Its diagonals are congruent B Its diagonals are perpendicular C Its opposite sides are congruent D Its opposite angles are congruent
7

The diagonals of rectangle $JKLM$ meet at $O$ . If $JO$ is $17$ cm, what is the length of $KM$ ?

Answer choices for question 7 A $34$ cm B $17$ cm C $68$ cm D $8.5$ cm
8

In a rhombus, which angles does diagonal $AC$ necessarily bisect?

Answer choices for question 8 A The vertex angles at $B$ and $D$ B Every angle formed at the diagonal intersection into $45^\circ$ parts C Only the angle at $A$ , never the angle at $C$ D The vertex angles at $A$ and $C$
9

The diagonals of a parallelogram bisect each other. What extra fact is still needed to use the congruent-diagonal rectangle test?

Answer choices for question 9 A One diagonal has two equal halves B The whole diagonals have equal lengths C The diagonals intersect D Both opposite-side pairs are parallel
10

A parallelogram has one right angle. Which conclusion is guaranteed?

Answer choices for question 10 A It is a rectangle B It is a square C All four sides are congruent D Its diagonals are perpendicular
11

A square has diagonals meeting at $O$ . What is the measure of angle $BAC$ when its boundary vertices are $A,B,C,D$ ?

Answer choices for question 11 A $90^\circ$ B $22.5^\circ$ C $45^\circ$ D It depends on the diagonal length
12

A convex quadrilateral has perpendicular diagonals. Which further hypothesis lets you conclude that it is a rhombus?

Answer choices for question 12 A Its vertices have been labeled in boundary order B Its diagonals intersect inside it C It has four sides D It is a parallelogram